34 citations
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Showing 2009 · math.APShow all
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math.AP2009
On a parabolic logarithmic Sobolev inequality
H. Ibrahim, R. Monneau
In order to extend the blow-up criterion of solutions to the Euler equations, Kozono and Taniuchi have proved a logarithmic Sobolev inequality by means of isotropic (elliptic) $BMO…
math.AP2009★ 7 cited
Dynamics of dislocation densities in a bounded channel. Part I: smooth solutions to a singular coupled parabolic system
H. Ibrahim, M. Jazar, R. Monneau
We study a coupled system of two parabolic equations in one space dimension. This system is singular because of the presence of one term with the inverse of the gradient of the sol…