Article ID Journal Published Year Pages File Type
839786 Nonlinear Analysis: Theory, Methods & Applications 2014 24 Pages PDF
Abstract

In this paper, we prove a local in time unique existence theorem for the compressible viscous fluids in the general domain with slip boundary condition. For the purpose, we use the contraction mapping principle based on the maximal Lp–LqLp–Lq regularity by means of the Weis operator valued Fourier multiplier theorem for the corresponding time dependent problem. To obtain the maximal Lp–LqLp–Lq regularity, we prove the sectorial RR-boundedness of the solution operator to the generalized Stokes equations.

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Physical Sciences and Engineering Engineering Engineering (General)
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