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{page:WordSection1;} --> </style><!--[if gte mso 10]> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman";} </style> <![endif]--> </head> <body style="background-color: white;" lang="EN-US" link="blue" vlink="purple"> <div class="WordSection1"> <span style="font-family: Symbol; color: rgb(0, 153, 0);"><br> </span><span style="font-family: &quot;Times New Roman&quot;; color: rgb(0, 153, 0);">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; RECENT PUBLICATIONS</span> <br> <span style="font-family: &quot;Times New Roman&quot;;"><br> &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; (<span class="GramE">with</span> B.L. Hayes) <span class="SpellE"><span class="GramE">Undercompressive</span></span><span class="GramE"> shocks and Riemann problems for scalar conservation laws with<br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; non-convex fluxes.</span> Proc. A Royal Soc. Edinburgh<span class="GramE">, &nbsp;&nbsp;&nbsp; 129A</span> (1999), 733-754.</span><o:p></o:p> <br> <br> <span style="font-size: 7pt; font-family: &quot;Times New Roman&quot;;"><span>&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; </span></span>&nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> M.R. Schulze) <span class="SpellE"><span class="GramE">Undercompressive</span></span><span class="GramE"> shocks for a system of hyperbolic conservation laws with cubic<br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; nonlinearity.</span> J. Math. Anal. <span class="GramE">Appl., 229 (1999), 344-362.</span><o:p></o:p> <br> <br> <span style="font-size: 7pt; font-family: &quot;Times New Roman&quot;;"><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; </span></span>&nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> A.L. <span class="SpellE">Bertozzi</span> and A. Munch) <span class="SpellE">Undercompressive</span> shocks in thin film flows. <span class="SpellE">Physica</span> D, 134 (1999),<br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; 431-464.<o:p></o:p> <br> <span style="font-size: 7pt; font-family: &quot;Times New Roman&quot;;"><span>&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; </span></span><br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> A.L. <span class="SpellE">Bertozzi</span> and A. M\"<span class="SpellE">unch</span>) <span class="SpellE">Undercompressive</span> shocks in driven thin film flow: computation,<br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; theory and experiment. <span class="GramE">Proceedings of the Conference on Trends in Mathematical Physics, <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; ed. V. <span class="SpellE">Alexiades</span> and G. <span class="SpellE">Siopsis</span>.</span> <span class="GramE">AMS/IP Studies in Advanced Mathematics, Volume 13 (1999), 43-68.</span><span style="font-size: 7pt; font-family: &quot;Times New Roman&quot;;"><span><br style=""> <!--[endif]--></span><o:p></o:p></span> <br> <span style="font-size: 7pt; font-family: &quot;Times New Roman&quot;;"><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span>&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> P. <span class="SpellE">Gremaud</span> and D.G. Schaeffer) The influence of flow corrective inserts on granular flow <br> &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; in a conical hopper. <span class="GramE">International Journal Of Non-linear Mechanics, 35 (2000), 869-882.</span><o:p></o:p> <br> <span style="font-size: 7pt; font-family: &quot;Times New Roman&quot;;"><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; <br> &nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; </span></span>(<span class="GramE">with</span> A.L. <span class="SpellE">Bertozzi</span>) Existence of <span class="SpellE">undercompressive</span> traveling waves in thin film equations.&nbsp; <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; SIAM J. Math. Anal<span class="GramE">.,</span> 32 (2000), 194--213. <a href="papers/SIMA_2000.pdf">(PDF)</a> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; (<span class="GramE">with</span> P. <span class="SpellE">Gremaud</span> and J.V. Matthews) <span class="GramE">Similarity solutions for granular flows in hoppers.</span> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; Proceedings of the SIAM/AMS Conference on Nonlinear PDEs, Dynamics and Continuum Physics, <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; J. Bona, K. Saxton, R. Saxton, Eds<span class="GramE">.,</span> AMS Contemporary Mathematics Series 255 (2000), 79--95. <o:p></o:p> <br> <span style="font-size: 7pt; font-family: &quot;Times New Roman&quot;;"><span>&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; </span></span>&nbsp;&nbsp;&nbsp; <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> R.A. Segal, X. Guan and T.B. <span class="SpellE">Martonen</span>) Mathematical model of airflow in the lungs of <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; children I: Effects of tumor size and location.&nbsp; 2 (2000), 199--213. <br> <span style="">&nbsp;<span></span><span style="font-size: 7pt; font-family: &quot;Times New Roman&quot;;"> </span></span>&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp; <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> R.A. Segal, X. Guan and T.B. <span class="SpellE">Martonen</span>) Mathematical model of airflow in the lungs of<br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; children II: Effects of <span class="SpellE">ventilatory</span> parameters. J. Theoretical Medicine<span class="GramE">,&nbsp;&nbsp; 3</span>&nbsp; (2000), 51--62. <br> <span style="">&nbsp;<span></span><span style="font-size: 7pt; font-family: &quot;Times New Roman&quot;;"> &nbsp;&nbsp;&nbsp; </span></span>&nbsp; <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> A.L. <span class="SpellE">Bertozzi</span>, A. Munch and K. <span class="SpellE">Zumbrun</span>) <span class="GramE">Stability of compressive and <span class="SpellE">undercompressive</span> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; thin film travelling waves.</span> European J. Applied Math<span class="GramE">.,</span> 12 (2001), 253-291.<a href="papers:BMSZ_ejam.pdf"> </a><a href="papers/BMSZ_ejam.pdf">(PDF).</a> <br> <span style="">&nbsp;<span></span><span style="font-size: 7pt; font-family: &quot;Times New Roman&quot;;"> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> T.P. <span class="SpellE">Witelski</span> and D.G. Schaeffer) <span class="GramE">A discrete model for an ill-posed nonlinear parabolic <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; PDE.</span> <span class="SpellE">Physica</span> D, 160 (2001), 189-221. <a href="http://www4.ncsu.edu/eos/users/s/shearer/www/papers/PHYS_D_01.pdf">(PDF).</a> <br> <span style="">&nbsp;<span></span><span style="font-size: 7pt; font-family: &quot;Times New Roman&quot;;"> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> B.L. Hayes) <span class="GramE">A <span class="SpellE">nonconvex</span> scalar conservation law with a <span class="SpellE">trilinear</span> flux.</span> Quart. Appl. Math<span class="GramE">.,</span> 59 (2001), 615--635. <br> <span style="">&nbsp;&nbsp;<span></span><span style="font-size: 7pt; font-family: &quot;Times New Roman&quot;;"> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> R.A. Segal, C.S. Kim and T.B. <span class="SpellE">Martonen</span>) <span class="GramE">Computer simulations of particle deposition <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; in the lungs of chronic obstructive pulmonary disease patients.</span> <span class="GramE">Inhalation Toxicology, 14 (2002), 705-720.</span> <br> <span style="">&nbsp;<span></span><span style="font-size: 7pt; font-family: &quot;Times New Roman&quot;;"> &nbsp; &nbsp;&nbsp; <br> &nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; </span></span>(<span class="GramE">with</span> R. Buckingham and A.L. <span class="SpellE">Bertozzi</span>) Thin film traveling waves and the <span class="SpellE">Navier</span> slip condition. <br> <span class="GramE">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; SIAM J. Applied Math.</span> <span class="GramE">63 (2003), 722-744.</span> <a href="http://www4.ncsu.edu/eos/users/s/shearer/www/papers/SIAP_03.pdf">(PDF).</a> <br> <span style="">&nbsp;</span><span style="font-family: Symbol;"> </span><span style="">&nbsp;</span><span style="font-family: Symbol;"> <span></span><span style="font-size: 7pt; font-family: &quot;Times New Roman&quot;;">&nbsp; </span><span>&nbsp;&nbsp;&nbsp; &nbsp; </span></span><span style="">&nbsp;&nbsp; <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; (with T.P. <span class="SpellE">Witelski</span> and D.G. Schaeffer) Stability of shear bands in an <span class="SpellE">elastoplastic</span> model for <br> <span class="GramE">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; granular</span> flow: The role of discreteness. <a href="http://www4.ncsu.edu/eos/users/s/shearer/www/papers/preprint_02.pdf">(PDF).</a> Math Models and Methods in Applied Sciences 13<br> &nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (2003), 1629-1671. <br> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; (<span class="GramE">with</span> P.G. <span class="SpellE">LeFloch</span>) <span class="SpellE"><span class="GramE">Nonclassical</span></span><span class="GramE"> Riemann solvers with nucleation.</span>&nbsp; <span class="GramE">Proceedings A, Royal Soc.</span>&nbsp; <br> &nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; <span class="GramE">Edinburgh, 134A (2004), 961-984.</span><a href="dec2003-nucleation.pdf"> (PDF)</a><br> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; (<span class="GramE">with</span> R. Levy) <span class="GramE">Comparison of Dynamic Contact Line Models for Driven Thin Liquid Films.</span>&nbsp; <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; Euro. J. Applied Math<span class="GramE">.,</span> 15 (2004), 625-642. <a href="papers/Levy-Shearer_2004.pdf">(PDF)</a><br> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; (<span class="GramE">with</span> R. Levy) Kinetics and nucleation for driven thin film flow.&nbsp; <span class="SpellE">Physica</span> D, 209 (2005), <br> <span class="GramE">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; 145</span>-163.<a href="file:///Volumes/Home/www/levy-shearer_physD.pdf">(PDF)</a><br> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; (<span class="GramE">with</span> R. Levy)&nbsp; <span class="GramE">The Motion of a Thin Liquid Film Driven by Surfactant and Gravity.</span>&nbsp; <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; SIAM J. Applied Math<span class="GramE">.,</span>&nbsp; 66 (2006), 1588-1609. <a href="papers/SIAP_2006.pdf">(PDF)</a><br> <br> </span><span style="font-size: 7pt; font-family: &quot;Times New Roman&quot;;"><span>&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; </span></span><span style="">(<span class="GramE">with</span> T.P. <span class="SpellE">Witelski</span> and D.G. Schaeffer) Boundary-Value Problems for Hyperbolic Equations <br> <span class="GramE">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; Related</span> to Steady Granular Flow. <span class="GramE">Mathematics and Mechanics of Solids, (2007).</span>&nbsp; <a href="papers/two-dim_aplane.pdf">(PDF).</a><br> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> J.M.N.T. Gray and A.R. Thornton) Time-dependent solutions for particle-size segregation in <br> <span class="GramE">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; shallow</span> granular avalanches.&nbsp; Proc. Roy Soc. 462 (2006), 947--972.&nbsp; <a href="papers/ShearerPaper07.pdf">(PDF).</a><br> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; (<span class="GramE">with</span> R. E. <span class="SpellE">Wieman</span>) Time-periodic <span class="SpellE">elastoplastic</span> <span class="GramE">shear-banding</span> related to granular flow. <a href="papers/wieman_05.pdf">(PDF) </a><br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; Submitted to Math. Modeling and Numerical Analysis. &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; <br> <br> &nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; (<span class="GramE">with</span> R. Levy and T.P. <span class="SpellE">Witelski</span>) Growing Surfactant Waves in Thin Liquid Films Driven by Gravity. <br> &nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; <span class="GramE"><span class="table"><b><span style="font-family: Times;"><span>UCLA-IPAM-NSF Workshop on Thin Films and Fluid Interfaces</span></span></b></span><span class="table"><span style="font-family: Times;">.</span></span></span><span class="table"><span style="font-family: Times;"> <span class="GramE">AMRX 2006 (2006), 1-21.</span>&nbsp; <a href="papers/amrx.pdf">(PDF)</a></span></span><br> <br> </span>&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> R. Levy and T.P. <span class="SpellE">Witelski</span>) The influence of insoluble surfactant on the flow of a thin liquid <br> <span class="GramE">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; film</span> down an inclined plane.&nbsp;&nbsp; Euro. J. Appl. Math. <span class="GramE">18 (2007), 679-708.</span> <a href="papers/surf_ejam.pdf">(PDF)</a><br> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> JMNT Gray and AR Thornton) Stable solutions of a scalar conservation law for particle-size<br> <span class="GramE">&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; segregation</span> in dense granular avalanches.&nbsp; Euro. J. Appl. Math. 19 (2008), 1 26. <br> &nbsp;<br> &nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> M. McIntyre, E.L. Rowe, J.M.N.T. Gray and A.R. Thornton) Evolution of a Mixing Zone <br> <span class="GramE">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; in</span> Granular Avalanches. <span class="GramE">AMRX article abm008 (2008).</span> <br> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> R. Levy and P. Taylor) Automated Review of Prerequisite Material for Intermediate-level<br> <span class="GramE">&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; Undergraduate</span> Mathematics, PRIMUS 17 (2007).<br> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;<span style="font-family: &quot;Times New Roman&quot;;">&nbsp; (<span class="GramE">with</span> P. <span class="SpellE">Gremaud</span> and K. <span class="SpellE">Kleiner</span>) <span class="GramE">Periodic motion of a mass-spring system.</span> IMA J. Appl. Math. 74 (2009)<span class="GramE">,&nbsp; 807</span>-826.</span><span style=""><br> </span><span style="font-family: &quot;Times New Roman&quot;;"><br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> Ellen R. Peterson, Thomas P. <span class="SpellE">Witelski</span>, and Rachel Levy)&nbsp; Stability of traveling waves in thin liquid lms driven </span><span style=""><br> </span><span class="GramE"><span style="font-family: &quot;Times New Roman&quot;;">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; by</span></span><span style="font-family: &quot;Times New Roman&quot;;"> gravity and surfactant. Hyperbolic Problems (HYP2008), editors E. <span class="SpellE">Tadmor</span>, J<span class="GramE">.-</span>G. Liu, A. <span class="SpellE">Tzavaras</span>,&nbsp; pages 855-868. AMS 2009. </span><span style=""><br> </span><span style="font-family: &quot;Times New Roman&quot;;"><br> </span><span style="">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> C.M. <span class="SpellE">Dafermos</span>)&nbsp; <span class="GramE">Finite time emergence of a shock wave for scalar conservation laws.</span> J. Hype. Diff. Eqns., <br> </span><span class="GramE"><span style="font-family: &quot;Times New Roman&quot;;">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; 7</span></span><span style="font-family: &quot;Times New Roman&quot;;"> (2010), 107-116.&nbsp; <a href="papers/dafermos-shearer_09.pdf">(PDF)</a></span><span style=""><br> </span><span style="font-family: &quot;Times New Roman&quot;;"><br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> N. <span class="SpellE">Giffen</span>) Shock formation and breaking in particle size-segregation. <span class="GramE">Discrete and Continuous Dynamical Systems, 27 (2010), 693-715.</span> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; <a href="papers/nick_oct24_09.pdf">(PDF</a>)</span><span style=""><br> </span><span style="font-family: &quot;Times New Roman&quot;;"><br> &nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; (<span class="GramE">with</span> L.B.H. May and K.E. Daniels) Scalar conservation laws with <span class="SpellE">nonconstant</span> coefficients with </span><span style=""><br> </span><span class="GramE"><span style="font-family: &quot;Times New Roman&quot;;">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; application</span></span><span style="font-family: &quot;Times New Roman&quot;;"> to particle size segregation in granular ow. J. Nonlinear Science, </span><a href="http://www.springerlink.com/content/0938-8974/20/6/" title="Link to the Issue of this Article"><span style="" lang="EN">20 (6</span></a>) (2010) <span class="pagination">689-707</span><span class="doi">, </span><span class="label">DOI:</span><span class="doi"> </span><span class="value">10.1007/s00332-010-9069-7 </span><span style=""><a href="papers/lindsay-karen-michael_09_july26.pdf"><span style="font-family: &quot;Times New Roman&quot;;">(PDF)</span></a><br> </span><span style="font-family: &quot;Times New Roman&quot;;"><br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (with L.B.H. May, L. <span class="SpellE">Golick</span>, K. Phillips and K.E. Daniels) Shear</span><span style="font-family: &quot;Lucida Sans Unicode&quot;;"> </span><span style="font-family: &quot;Times New Roman&quot;;">driven size segregation of granular materials: </span><span style=""><br> </span><span class="GramE"><span style="font-family: &quot;Times New Roman&quot;;">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; modeling</span></span><span style="font-family: &quot;Times New Roman&quot;;"> and experiment. <span class="GramE">Physical Review E, <span style="font-family: Times; color: black;">81(1) (2010), 051301.<br> </span></span></span><span style="font-size: 11pt; color: black;"><o:p></o:p></span><br> <span style="font-family: &quot;Times New Roman&quot;;">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (<span class="GramE">with</span> L.B.H. May, N. <span class="SpellE">Giffen</span> and K.E. Daniels) <span class="GramE">The Gray-Thornton model of granular segregation.</span> Proc. Joint IUTAM-ISIMM <br> <span class="GramE">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp; Symposium</span> on Mathematical Modeling and Physical Instances of Granular Flows. Eds. J.D. Goddard, J.T. Jenkins, P. <span class="SpellE">Giovine</span>. <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp; American Inst. Physics, 2010, 371-378. <a href="papers/Shearer_et_al_2009.pdf">(PDF)</a><o:p></o:p><big> </big></span><br> <span style="font-family: &quot;Times New Roman&quot;; color: black;">&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp; (<span class="GramE">with</span> E.R. Peterson) <span class="GramE">Radial spreading of surfactant on a thin liquid film.</span> </span><cite><span style="font-style: normal;">Appl. Math. Res. Express</span></cite><span class="slug-pub-date"><i><span style="font-family: &quot;Times New Roman&quot;;"> </span></i></span><span class="slug-pub-date"><span style="font-family: &quot;Times New Roman&quot;;">(2010) </span></span><span class="SpellE"><span class="slug-doi-wrapper"><span style="font-family: &quot;Times New Roman&quot;;">doi</span></span></span><span class="slug-doi-wrapper"><span style="font-family: &quot;Times New Roman&quot;;">: </span></span> <span class="slug-doi"><span style="font-family: &quot;Times New Roman&quot;;">10.1093/<span class="SpellE">amrx</span>/abq015<br> <span class="slug-doi"><span style="font-family: &quot;Times New Roman&quot;;"><br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (with K. Spayd) The Buckley-Leverett equation with dynamic capillary pressure. SIAM J. Appl. Math., 71 (2011), pp. 1088-1108<br> <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (with K. Spayd and Zhengzheng Hu) Stability of plane waves in two phase porous media flow. Applicable Analysis 91 (2012) , 295-308.</span></span><br> <br> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; (with E.R. Peterson) Simulation of surfactant spreading on a thin liquid film. Appl. Math. Comp. 218 (2012) 5157-5167.<br> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; Two Fluid Flow in Porous Media. Proceedings of HYP2012, AIMS Journal. To appear (2013)<br> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; Smooth Periodic Solutions of a 2x2 System of Nonlinear Hyperbolic Conservation Laws.&nbsp; Appl. Math. Res. Express (2013) doi: 10.1093/amrx/abt006 <br> <br> &nbsp;&nbsp;&nbsp; &nbsp; &nbsp;&nbsp; &nbsp; (with K. Spayd and E.R. Swanson) Traveling Waves for Conservation Laws with Cubic Nonlinearity and BBM Type Dispersion. Submitted<br> <br> <span style="font-family: times;">&nbsp;&nbsp;&nbsp; &nbsp; &nbsp;&nbsp; &nbsp; (with E.R. Swanson, S. Strickland and K. Daniels) Surfactant Spreading on a Thin Liquid Film: Reconciling Models and Experiments. Submitted </span></span></span><span class="slug-doi"><span style="font-family: &quot;Times New Roman&quot;;"><span style="font-family: times;"><span class="slug-doi"><span style="font-family: &quot;Times New Roman&quot;;"><span style="font-family: times;">(2013). <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; URL <a href="http://arxiv.org/abs/1306.4881" target="_blank">http://arxiv.org/abs/1306.4881</a></span></span></span>.<br> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; (with M. Strait, R. Levy, L. Cueto-Felgueroso and R. Juanes) Two fluid flow in a capillary tube. Submitted. <br> <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; &nbsp; (with J. Bostwick and K. E. Daniels) </span></span></span><span class="slug-doi"><span style="font-family: &quot;Times New Roman&quot;;"><span style="font-family: times;">Elastocapillary deformations on partially-wetting substrates: rival contact-line models.&nbsp; Soft Matter </span></span></span><span class="slug-doi"><span style="font-family: &quot;Times New Roman&quot;;"><span style="font-family: times;"><strong>10</strong>&nbsp; (2014)</span></span></span>&nbsp;<small><i><strong></strong></i></small>&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; <br> &nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 7361-7369<small><span class="slug-doi"><span style="font-family: &quot;Times New Roman&quot;;"><span style="font-family: times;"></span></span></span><span class="slug-doi"><span style="font-family: &quot;Times New Roman&quot;;"><span style="font-family: times;"> <meta http-equiv="content-type" content="text/html; charset=UTF-16LE"> </span></span></span>.&nbsp; <small><span class="DOILink" style="float: left; _width: 330px;"></span><span class="slug-doi"><span style="font-family: &quot;Times New Roman&quot;;"><span style="font-family: times;"></span></span></span></small></small><span class="slug-doi"><span style="font-family: &quot;Times New Roman&quot;;"><span style="font-family: times;"><br> </span></span></span><span class="slug-doi"><span style="font-family: &quot;Times New Roman&quot;;"><span style="font-family: times;"><wbr> </span> <p class="MsoNormal" style="margin-bottom: 12pt; text-indent: 0.5in;"><br> <span class="slug-doi"><span style="font-family: &quot;Times New Roman&quot;;"></span></span><span style="font-family: &quot;Times New Roman&quot;;"><o:p></o:p></span></p> </span></span></div> </body> </html>