Strong solutions of the Navier-Stokes equations for isentropic compressible fluids |
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Authors: | Hi Jun Choe |
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Affiliation: | Department of Mathematics, Yonsei University, Seoul, Republic of Korea |
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Abstract: | We study strong solutions of the isentropic compressible Navier-Stokes equations in a domain . We first prove the local existence of unique strong solutions provided that the initial data ρ0 and u0 satisfy a natural compatibility condition. The important point in this paper is that we allow the initial vacuum: the initial density may vanish in an open subset of Ω. We then prove a new uniqueness result and stability result. Our results are valid for unbounded domains as well as bounded ones. |
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Keywords: | 76N10 |
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