Sobolev multipliers, maximal functions and parabolic equations with a quadratic nonlinearity

Abstract : We develop a general framework to describe global mild solutions to a Cauchy problem with small initial values concerning a general class of semilinear parabolic equations with a quadratic nonlinearity. This class includes the Navier–Stokes equations, the subcritical dis-sipative quasi-geostrophic equation and the parabolic–elliptic Keller-Segel system.
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https://hal.archives-ouvertes.fr/hal-01628946
Contributor : Pierre Gilles Lemarié-Rieusset <>
Submitted on : Sunday, November 5, 2017 - 1:00:32 PM
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Pierre Gilles Lemarié-Rieusset. Sobolev multipliers, maximal functions and parabolic equations with a quadratic nonlinearity. 2017. ⟨hal-01628946⟩

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