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4 papers · 2 filters
Local Well-Posedness of Dynamics of Viscous Gaseous Stars
Juhi Jang
We establish the local in time well-posedness of strong solutions to the vacuum free boundary problem of the compressible Navier-Stokes-Poisson system in the spherically symmetric…
Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D
Peter Constantin, Nader Masmoudi
We prove global existence for a nonlinear Smoluchowski equation (a nonlinear Fokker-Planck equation) coupled with Navier-Stokes equations in two dimensions. The proof uses a deteri…
Regularity estimates for the solution and the free boundary to the obstacle problem for the fractional Laplacian
Luis Caffarelli, Sandro Salsa, Luis Silvestre
We use a characterization of the fractional Laplacian as a Dirichlet to Neumann operator for an appropriate differential equation to study its obstacle problem. We write an equival…
Propagating phase boundaries: formulation of the problem and existence via the Glimm scheme
Philippe G. LeFloch
In this paper we consider the hyperbolic-elliptic system of two conservation laws that describes the dynamics of an elastic material governed by a non-monotone strain-stress functi…