Navier–Stokes equations with nonhomogeneous boundary conditions in a convex bi-dimensional domain |
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| Authors: | Vincent Girinon |
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| Institution: | aInstitut de Mathématiques, UMR CNRS 5219, Université Paul Sabatier, 31062 Toulouse Cedex 9, France |
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| Abstract: | We prove the existence of a weak solution to Navier–Stokes equations describing the isentropic flow of a gas in a convex and bounded region, Ω R2, with nonhomogeneous Dirichlet boundary conditions on ∂Ω. These results are also extended to flow domain surrounding an obstacle. |
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| Keywords: | Compressible Navier– Stokes equations Inflow– outflow boundary conditions Global existence of weak solutions |
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