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

Ruxu Lian | Zendy; Liping Hu | Zendy

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

Author(s) -

Ruxu Lian,

Liping Hu

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/961014

Subject(s) - pointwise , mathematics , compressibility , mathematical analysis , boundary value problem , cauchy stress tensor , tensor (intrinsic definition) , viscosity , isentropic process , algebraic number , boundary (topology) , zero (linguistics) , navier–stokes equations , free boundary problem , pressure coefficient , geometry , physics , mechanics , thermodynamics , linguistics , philosophy

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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