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Vanishing viscosity limit for a coupled Navier-Stokes/Allen-Cahn system
Navier–Stokes Euler Allen–Cahn vanishing viscosity limit
2011/2/21
In this paper, we study the vanishing viscosity limit for a coupled Navier-Stokes/Allen-Cahn
system in a bounded domain. We first show the local existence of smooth solutions of the Euler/Allen-Cahn ...
On the zero-dispersion limit of the Benjamin-Ono Cauchy problem for positive initial data
zero-dispersion limit initial data Benjamin-Ono Cauchy
2010/4/2
We study the Cauchy initial-value problem for the Benjamin-Ono equation in the zero-disperion limit, and we establish the existence of this limit in a certain weak sense by developing an appropriate a...
Semiclassical limit for the Schroedinger equation with a short scale periodic potential
Semiclassical limit for the Schroedinger equation short scale periodic potential
2010/11/2
We consider the dynamics generated by the Schroedinger operator $H=-{1/2}\Delta + V(x) + W(\epsi x)$, where $V$ is a lattice periodic potential and $W$ an external potential which varies slowly on the...