Existence and Uniqueness of Strong Solutions for a Compressible Multiphase Navier-Stokes Miscible Fluid-Flow Problem in Dimension n = 1

Details Existence and Uniqueness of Strong Solutions for a Compressible Multiphase Navier-Stokes Miscible Fluid-Flow Problem in Dimension n = 1 Existence and Uniqueness of Strong Solutions for a Compressible Multiphase Navier-Stokes Miscible Fluid-Flow Problem in Dimension n = 1

2008-11-13

arxiv.org/abs/0811.2168v1

Physics

Mathematical Physics

37 pages, 0 figures

Scientific paper

10.1142/S0218202509003498

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.

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