## Existence, bifurcation, and geometric evolution of quasi-bilayers in the multicomponent functionalized Cahn-Hilliard equation.

- Keith Promislow, Qiliang Wu
- Journal of mathematical biology
- 2017

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@inproceedings{Rapoport2005ApproximatingMH, title={Approximating multi-dimensional Hamiltonian flows by billiards}, author={Anna Rapoport}, year={2005} }

- Published 2005

The behavior of a point particle traveling with a constant speed in a region D ⊂ RN , undergoing elastic collisions at the regions’s boundary, is known as the billiard problem. Various billiard models serve as approximation to the classical and semiclassical motion in systems with steep potentials (e.g. for studying classical molecular dynamics, cold atom’s motion in dark optical traps and microwave dynamics). Here we develop methodologies for examining the validity and accuracy of this… CONTINUE READING