Unique solvability of the initial bounda
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Yonggeun Cho; Hi Jun Choe; Hyunseok Kim
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Article
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2004
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Elsevier Science
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English
⚖ 269 KB
We study the Navier–Stokes equations for compressible barotropic fluids in a domain Ω⊂R 3 . We first prove the local existence of the unique strong solution, provided the initial data satisfy a natural compatibility condition. The initial density needs not be bounded away from zero; it may vanish in