Dr. Keith Promislow
| Professor |
| Michigan State University |
| Department of Mathematics |
| East Lansing, MI 48824 |
| (517) 432-7135 (Office) |
| (517) 432-1562 (Fax) |
| kpromisl AT math.msu.edu |
Dr. Keith Promislow
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|
Math 421 | Math 942 |
|---|---|
Applied Math Seminar | |
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The device level modeling of polymer electrolyte membrane (PEM) fuel cells involves free boundary problems, phase change, stiff electrochemical reaction terms, and widely separated length and time scales. For some animated demos of fuel cells, check out the (MMSC) web page. | |
| The nanoscale modeling of pore formation and ionic transport in polymer electrlolyte membranes includes minimization of energy functionals and fourth and sixth order nonlocal PDEs. In the image at right red indicates regions of high polymer content and blue regions of high solvent (water) content. The flow maximizes surface area while minimizing bending moments. |  |
| I study PDE, dynamical systems, and industrial mathematics, with applications to nonlinear optics and waves. The techniques I employ arise from dynamical systems, renormalization group, semigroup, and invariant manifold theories. My interests include the dynamics and bifurcations of traveling waves and other long-lived structures. |  |
| Curve shortening of 2D fronts in a dispersive system modeling optical parameteric conversion. |
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A long-lived, localized, oscillatory breather in a collection of Bose-Einstein condensates. |