Steady compressible Navier-Stokes flow in a square

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:357

Article

Piasecki, Tomasz

关键词: Navier-Stokes equations;    Steady compressible flow;    Inflow boundary condition;    Slip boundary conditions;    Strong solutions;   

DOI  :  10.1016/j.jmaa.2009.04.031

来源: Elsevier

【 摘 要 】

We investigate a steady flow of compressible fluid with inflow boundary condition on the density and slip boundary conditions on the velocity in a square domain Q epsilon R(2). We show existence if a solution (v, rho) epsilon W(p)(2)(Q) x W(p)(1) (Q) that is a small perturbation of a constant flow ((v) over bar equivalent to [1, 0], (rho) over bar equivalent to 1). We also show that this solution is unique in a class of small perturbations of the constant flow ((v) over bar, (rho) over bar). In order to show the existence of the solution we adapt the techniques known from the theory of weak solutions. We apply the method of elliptic regularization and a fixed point argument. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free