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




Free Boundary Value Problem for the One-Dimensional Compressible Navier-Stokes Equations with a Nonconstant Exterior Pressure - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Journal of Applied MathematicsVolume 2014 2014, Article ID 961014, 11 pages

Research Article

College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China

Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China

College of Information and Management Science, Henan Agricultural University, Zhengzhou 450002, China

Received 19 January 2014; Accepted 13 June 2014; Published 15 July 2014

Academic Editor: Allan C. Peterson

Copyright © 2014 Ruxu Lian and Liping Hu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.





Autor: Ruxu Lian and Liping Hu

Fuente: https://www.hindawi.com/



DESCARGAR PDF




Documentos relacionados