Free Boundary Value Problem for the Cylindrically Symmetric Compressible Navier-Stokes Equations with a Constant Exterior Pressure

2018年第04期

关键词:
Navier-Stokes equations cylindrically symmetric density-dependent viscosity coefficients constant exterior pressure strong solution

Keywords
Navier-Stokes equations;cylindrically symmetric;density-dependent viscosity coefficients;constant exterior pressure;strong solution
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摘要
     This paper is concerned with the free boundary value problem(FBVP) for the cylindrically symmetric barotropic compressible Navier-Stokes equations(CNS) with density-dependent viscosity coefficients in the case that across the free surface stress tensor is balanced by a constant exterior pressure. Under certain assumptions imposed on the initial data, the unique cylindrically symmetric strong solution is shown to exist globally in time and tend to a non-vacuum equilibrium state exponentially as time tends to infinity.


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