Free Boundary Value Problem for the One-Dimensional Compressible Navier-Stokes Equations with a Nonconstant Exterior Pressure. (15th July 2014)

• Record Type: Journal Article
• Authors: Lian, Ruxu; Hu, Liping
• Other Names: Peterson Allan C. Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-07-15
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/961014
• Languages: English
• ISSNs: 1110-757X

Abstract

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.