Research Interests
Research in physical applied mathematics, motivated by real world
problems is central to my investigations. Methods employed involve
modeling physical systems in terms of partial and ordinary
differential equations and then analyzing these equations with
asymptotic, analytic, and numerical methods. Whenever possible,
comparisons with experiment are carried out. Current mathematical
results have direct application to Bose-Einstein condensation,
nonlinear optics, and nano-scale magnetics.
Please find my cv here.
Publications
- Dispersive Shock Waves, M. A. Hoefer and
M. J. Ablowitz, Scholarpedia, in review. (view it
here)
- Soliton Generation and Multiple Phases in Dispersive Shock
and Rarefaction Wave Interaction, M. J. Ablowitz, D. E. Baldwin,
and M. A. Hoefer, Physical Review E, 80, 016603
(2009). (get it here)
- Matter-Wave Interference in Bose-Einstein Condensates: a
Dispersive Hydrodynamic Approach, M. A. Hoefer, P. Engels, and
J. J. Chang, Physica D, 238, 1311-1320 (2009). (get
it here)
- Formation of Dispersive Shock Waves by Merging and Splitting
Bose-Einstein Condensates, J. J. Chang, P. Engels, and
M. A. Hoefer, Physical Review Letters, 101, 170404
(2008). (get it here and
supporting numerical simulation
results here)
- Model for a Collimated Spin-Wave Beam Generated by a
Single-Layer Spin Torque Nanocontact, M. A. Hoefer,
T. J. Silva, and
M. D. Stiles, Physical Review B, 77, 144401 (2008). (get
it here)
- Piston Dispersive Shock Wave Problem, M. A. Hoefer,
M. J. Ablowitz, and P. Engels, Physical Review
Letters, 100, 084504 (2008). (get
it here)
- Interactions of Dispersive Shock Waves, M. A. Hoefer and
M. J. Ablowitz, Physica D, 237, 44-64 (2007). (get a
preprint here)
- Observation of Faraday Waves in a Bose-Einstein
Condensate, P. Engels, C. Atherton, and
M. A. Hoefer, Physical Review Letters, 98, 095301
(2007). (get it here)
- Dispersive and Classical Shock Waves in Bose-Einstein
Condensates and Gas Dynamics, M. A. Hoefer, M. J. Ablowitz,
I. Coddington, E. A. Cornell, P. Engels, and V. Schweikhard,
Physical Review A, 74, 023623 (2006). (get it
here)
- Ph.D. Thesis: Dispersive Shock Waves in Bose-Einstein
Condensates and Nonlinear Nano-oscillators in Ferromagnetic Thin
Films, M. A. Hoefer (5/2006). (get
it here).
- Theory of Magnetodynamics Induced by Spin Torque in
Perpendicularly Magnetized Thin Films, M. A. Hoefer,
M. J. Ablowitz, B. Ilan, M. R. Pufall, and
T. J. Silva, Physical Review Letters 95, 267206 (2005)
(get it here).
- Spin Momentum Transfer and Oersted Field Induce a Vortex
Nano-Oscillator in Thin Ferromagnetic Film Devices,
M. A. Hoefer and T. J. Silva, cond-mat/0609030. (get
it here)
Other Interests
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