34 citations
- Johannes Gutenberg University MainzDE4 papers
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- Dublin City UniversityIE2 papers
- École nationale des ponts et chausséesFR2 papers
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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…
math.AP2008★ 2 cited
Decay of mass for nonlinear equation with fractional Laplacian
Ahmad Fino, Grzegorz Karch
The large time behavior of nonnegative solutions to the reaction-diffusion equation posed on and supplemented w…