Abstract
Small time regularity of solutions of the compressible isentropic Navier-Stokes equations is investigated in dimension N = 2 or 3 under periodic boundary conditions. The initial density is not required to have a positive lower bound. We prove that weak solutions in T 2 remain smooth as long as the density is bounded in L ∞(T 2).
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Desjardins, B. (1999). On the Regularity of Solutions of the Compressible Isentropic Navier-Stokes Equations. In: Fey, M., Jeltsch, R. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 129. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8720-5_24
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DOI: https://doi.org/10.1007/978-3-0348-8720-5_24
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