Dr. C. V. Pao

Neutron Transport and Nuclear Reactor Dynamics

Published Papers

  1. C.V.Pao Numerical Methods for the linear Boltsmann Transport Equation in Slab Geometry, J. Numer. Meth. Part. Diff. Eqs., 2(1986), 131--151

  2. C.V.Pao Convergence of Discrete-ordinates Method for Transport Equations in Multi-dimensional Domains, J. Integral Equations, 9(1985), 153--169

  3. C.V.Pao Stability Analysis of a Coupled Diffusion-Transport System for Oxygen Transport in Blood and Tissue, Nonlin. Anal.: TMA, 9(1985), 1037--1059

  4. C.V.Pao Stability Analysis of the Neutron Transport Equation with Temperature Feedback, J. Math. Phys., 24(1983), 1321--1325

  5. C.V.Pao Comparison and Stability of Solutions for a Neutron Transport Problem with Temperature Feedback, SIAM J. Math. Anal., 14(1983),167--184

  6. C.V.Pao Neutron Transport in a Reactor System with Temperature Feedback, Seventh International Conference on Transport Theory, Progress in Nuclear Energy, 8(1981), 191--202

  7. C.V.Pao Stability and Instability of the Energy Dependent Diffusion System in Reactor Dynamics, Math. Meth. Appl. Sci., 3(1981), 488--505

  8. C.V.Pao Asymptotic Stability of Reaction Diffusion Systems in Chemical Reactor and Combustion Theory, J. Math. Anal. Appl., 82(1981), 503--526

  9. C.V.Pao Asymptotic Behavior of Neutron Transport in a Slab with Moving Boundaries, J. Integral Equation, 4(1980), 281--298

  10. C.V.Pao Nonexistence of Global Solutions for an Integro- differential System in Reactor Dynamics, SIAM J. Math. Anal., 11(1980), 559--564

  11. C.V.Pao Asymptotic Behavior of the Solution for the Time Dependent Neutron Transport Problem, J. Integral Equations, 1(1979), 131--152

  12. C.V.Pao Bifurcation Analysis on a Nonlinear Diffusion System in Reactor Dynamics, J. Applicable Anal., 9(1979), 107--119

  13. C.V.Pao Positive Solution of an Integrodifferential System in Neutron Transport with Delayed Neutrons, Rend. di Matema., 11(1978), 565--584

  14. C.V.Pao Criticality of Neutron Transport in a Slab with Finite Reflectors, J. Math. Phys., 19(1978), 2499--2505

  15. C.V.Pao An Iterative Method for Solving a Non-stationary Radiation Diffusion System, Z. Appl. Math. Phys., 29(1978), 795--806

  16. C.V.Pao Subcriticality and Supercriticality of Energy Dependent Neutron Transport in Slab Geometry, J. Math. Phys., 19(1978), 383--386

  17. C.V.Pao Bounds for the Critical Length of a Slab with Finite Reflectors in Neutron Transport, SIAM J. Appl. Math., 34(1978), 338-347

  18. C.V.Pao Positive Solutions and Subcriticality of Energy Dependent Transport Systems in Slab Geometry, J. Math. Phys., 18(1977), 544--550

  19. C.V.Pao Positive Solutions and Criticality of the Linear and Some Nonlinear Neutron Transport Problems, SIAM J. Appl. Math., 32(1977),164--176

  20. C.V.Pao A Boltzmann-type Equation in the Kinetic Theory of Vehicular Traffic, J. Australian. Math. Soc., Series B, 19(1976), 452--461

  21. C.V.Pao Critical Length of a Transport Process in Rod Geometry, J. Math. Phys., 17(1976), 1767--1772

  22. C.V.Pao On the Energy Dependent Neutron Transport Problem with Arbitrary Geometry, SIAM J. Appl. Math., 30(1976), 501--514

  23. C.V.Pao An Iterative Method for Radiative Transfer in a Slab with Specularly Reflecting Boundary, Appl. Math. Computation, 1(1975), 535--564

  24. C.V.Pao Positive Solution of a Time and Energy Dependent Neutron Transport Problem, J. Math. Phys., 16(1975), 2166--2171

  25. C.V.Pao Successive Approximations for a Time Dependent Scattering Process, J. Math. Anal. Appl., 49(1975), 545--560

  26. C.V.Pao The Energy-dependent Diffusion System in Nuclear Reactor Dynamics, SIAM J. Appl. Math., 29(1975), 40--59

  27. C.V.Pao Solution of a Nonlinear Integrodifferential System Arising in Nuclear Reactor Dynamics, J. Math. Anal. Appl., 48(1974), 470--492

  28. C.V.Pao Positive Solution of a Nonlinear Diffusion System Arising in Chemical Reactors, J. Math. Anal. Appl., 46(1974), 820--835

  29. C.V.Pao A Nonlinear Boltzmann Equation in Transport Theory, Trans. Amer. Math. Soc., 194(1974), 167--175

  30. C.V.Pao Method of Successive Approximations for Nonlinear Stationary Transport Equations, SIAM J. Appl. Math., 27(1974), 83--92

  31. C.V.Pao On Nonlinear Time-dependent Multivelocity Transport Equations, J. Math. Anal. Appl., 44(1973), 725--744

  32. C.V.Pao Solution of a Nonlinear Boltzmann Equation for Neutron Transport in $L^1$---Space, Arch. Rat. Mech. Anal., 50(1973), 290--302

  33. C.V.Pao On Nonlinear Neutron Transport Equations, J. Math. Anal. Appl., 42(1973), 578--593