Department of Mathematics Colloquium
Brown Analysis Seminar
Scientific Computing Seminar
PDE Seminar
Dipartimento di Matematica pura ed Applicata Universita' di L'Aquila | |
Abstract: We consider a kinetic system of two species of particles interacting via a long range (Vlasov) repulsive force between particles of different species, and in contact with a thermal reservoir modeled by a Fokker-Plank operator. The system undergoes a phase transition at low temperature consisting in the separation of the two species. The study of the one dimensional, infinite volume front, interpolating between the equilibrium densities, is an important tool for the construction of multidimensional interfaces separating regions in different phases and computing surface tension. We prove the uniqueness of the front solution via an alternative notion of convexity called "displacement convexity".
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