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Existence and uniqueness of strong solutions for a compressible multiphase navier-stokes miscible fluid-flow problem (2008)
| Content Provider | CiteSeerX |
|---|---|
| Author | Michoski, C. Vasseur, A. |
| 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 L 2 norm of the space derivative of the density, via a new kind of entropy. In this paper we show the well-posedness of a global strong solution to a multifluid problem over R + × R characterized by the one-dimensional compressible barotropic Navier-Stokes equations. That is, we consider the following system |
| File Format | |
| Publisher Date | 2008-01-01 |
| Publisher Institution | in dimension n=1. Math. Models Methods Appl. Sci., In |
| Access Restriction | Open |
| Subject Keyword | Barotropic Navier-stokes Equation Following System Multifluid Problem Compressible Multifluid Global Control One-dimensional Compressible Barotropic Navier-stokes Equation Diffusion Coefficient Strong Solution Global Existence Space Derivative Global Strong Solution New Kind |
| Content Type | Text |
| Resource Type | Article |
