Existence and Uniqueness of Strong Solutions for a Compressible Multiphase Navier-Stokes Miscible Fluid-Flow Problem in Dimension n = 1
Mathematical Physics
2010-12-30 v1 Analysis of PDEs
math.MP
Abstract
We prove the global existence and uniqueness of strong solutions for a compressible multifluid described by the barotropic Navier-Stokes equations in dim = 1. The result holds when the diffusion coefficient depends on the pressure. It relies on a global control in time of the L2 norm of the space derivative of the density, via a new kind of entropy.
Cite
@article{arxiv.0811.2168,
title = {Existence and Uniqueness of Strong Solutions for a Compressible Multiphase Navier-Stokes Miscible Fluid-Flow Problem in Dimension n = 1},
author = {C. Michoski and A. Vasseur},
journal= {arXiv preprint arXiv:0811.2168},
year = {2010}
}
Comments
37 pages, 0 figures