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- W1551265140 abstract "Regularity and uniqueness of weak solution of the compressible isentropic Navier-Stokes equations is proven for small time in dimension N=2,3 under periodicboundary conditions. In this paper, the initial density is not required to have apositive lower bound and the pressure law is assumed to satisfy a condition thatreduces to γ > 1 when N = 2 , 3 and P (ρ ) = a ρ γ. In a second part we prove acondition of blow-up in slightly subcritical initial data when ρ ∈ L ∞. We finish by proving that weak solutions in TN turn out to be smooth as long as the densityremains bounded in L ∞(L (N +1+ǫ )γ ) with ǫ > 0 arbitrary small." @default.
- W1551265140 created "2016-06-24" @default.
- W1551265140 creator A5022771084 @default.
- W1551265140 date "2010-01-11" @default.
- W1551265140 modified "2023-09-26" @default.
- W1551265140 title "Regularity of weak solutions of the compressible isentropic Navier-Stokes equation" @default.
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