科研之友
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摘要
We aim at proving existence of weak solutions to the stationary compressible Navier-Stokes system coupled with the Allen-Cahn equation - NSAC system. The model is studied in a bounded three dimensional domain with slip boundary conditions for the momentum equations and the Neumann condition for the Allen-Cahn model. The main result establishes existence of weak solutions with bounded densities. The construction is possible assuming sufficiently large value of the heat capacity ratio gamma (p similar to rho(gamma)). As a corollary we obtain weak solutions for a less restrictive case losing pointwise boundedness of the density.
- 出版日期2016-9
