Boundary layers for compressible Navier-Stokes equations with outflow boundary condition |
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Authors: | Jing Wang |
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Institution: | a Department of Mathematics, Shanghai Normal University, Shanghai 200234, PR China b The Institute of Mathematical Sciences, CUHK Shatin, N.T., Hong Kong |
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Abstract: | In this paper, we study the asymptotic relation between the solutions to the initial boundary value problem of the one-dimensional compressible full Navier-Stokes equations with outflow boundary condition and the associated Euler equations. We assume all the three characteristics to the corresponding Euler equations are all negative up to some small time, then we prove the existence and the stability of the boundary layers as long as the strength of the boundary layers is suitably small. |
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Keywords: | 35L50 35K60 58K25 |
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