Global existence of the cylindrically symmetric strong solution to compressible Navier-Stokes equations. (English) Zbl 1474.35535

Summary: This paper is concerned with the initial boundary value problem for the three-dimensional Navier-Stokes equations with density-dependent viscosity. The cylindrically symmetric strong solution is shown to exist globally in time and tend to the equilibrium state exponentially as time grows up.


35Q35 PDEs in connection with fluid mechanics
35A01 Existence problems for PDEs: global existence, local existence, non-existence
35D35 Strong solutions to PDEs
Full Text: DOI


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