Decently regular steady solutions to the compressible NSAC system
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Navier--Stokes--Allen--Cahn equations, steady compressible flow, existence and regularity of the solutionsAbstrakt
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 $\gamma$ \hbox{$ (p \sim \varrho^\gamma$)}. As a corollary we obtain weak solutions for a less restrictive case losing pointwise boundedness of the density.Pobrania
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2016-05-29
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1.
AXMAN, Šimon. Decently regular steady solutions to the compressible NSAC system. Topological Methods in Nonlinear Analysis [online]. 29 maj 2016, T. 48, nr 1, s. 131–157. [udostępniono 3.7.2024].
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