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Self-similar asymptotics of solutions to the Navier-Stokes system in two dimensional exterior domain
Self-similar asymptotics the Navier-Stokes system two dimensional exterior domain Analysis of PDEs
2011/9/1
Abstract: We consider the 2D incompressible Navier-Stokes equations with Dirichlet boundary condition in the exterior of one obstacle. Assuming that the circulation at infinity of the velocity is suff...
Lower bound of the lifespan of solutions to semilinear wave equations in an exterior domain
Lower bound lifespan of solutions semilinear wave equations
2010/11/30
We consider the Cauchy-Dirichlet problem for semilinear wave equations in a three space dimensional domain exterior to a bounded and non-trapping obstacle. We obtain a detailed estimate for the lower ...
Semiclassical Limit of the Gross-Pitaevskii Equation in an Exterior Domain
Semiclassical Limit Gross-Pitaevskii Equation Exterior Domain
2018/4/20
In this paper, we study the semiclassical limit of the Gross-Pitaevskii equation (a cubic nonlinear Schrodinger quation) with the Neumann boundary condition in an exterior domain. We prove that befor...