Free Boundary Value Problem for the One-Dimensional Compressible Navier-Stokes Equations with a Nonconstant Exterior Pressure

Ruxu Lian and Liping Hu

Journal of Applied Mathematics, 2014, vol. 2014, 1-11

Abstract:

We consider the free boundary value problem (FBVP) for one-dimensional isentropic compressible Navier-Stokes (CNS) equations with density-dependent viscosity coefficient in the case that across the free surface stress tensor is balanced by a nonconstant exterior pressure. Under certain assumptions imposed on the initial data and exterior pressure, we prove that there exists a unique global strong solution which is strictly positive from blow for any finite time and decays pointwise to zero at an algebraic time-rate.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:961014

DOI: 10.1155/2014/961014

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