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2014 Free Boundary Value Problem for the One-Dimensional Compressible Navier-Stokes Equations with a Nonconstant Exterior Pressure
Ruxu Lian, Liping Hu
J. Appl. Math. 2014: 1-11 (2014). DOI: 10.1155/2014/961014

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.

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Ruxu Lian. Liping Hu. "Free Boundary Value Problem for the One-Dimensional Compressible Navier-Stokes Equations with a Nonconstant Exterior Pressure." J. Appl. Math. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/961014

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07132020
MathSciNet: MR3240643
Digital Object Identifier: 10.1155/2014/961014

Rights: Copyright © 2014 Hindawi

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