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Singularity \& Regularity Issues for Simplified Models of Turbulence
We consider a family of Leray-$\alpha$ models with periodic boundary conditions in three space dimensions. Such models are a regularization, with respect to a... -
On the Hausdorff dimension of singular sets for the Leray- Navier-Stokes equa...
International audience -
A multiplicity result for a nonlinear degenerate problem arising in the theor...
Proceedings A of the Royal Society of London, in press -
Existence and multiplicity of solutions for quasilinear nonhomogeneous proble...
We study the boundary value problem $-{\rm div}(\log(1+ |\nabla u|^q)|\nabla u|^{p-2}\nabla u)=f(u)$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is a... -
Local nonsmooth Lyapunov pairs for first-order evolution differential inclusions
The general theory of Lyapunov's stability of first-order differential inclusions in Hilbert spaces has been studied by the authors in a previous work. This new... -
On a critical Leray-$\alpha$ model of turbulence
International audience -
Weak solutions of backward stochastic differential equations with continuous ...
International audience -
Weak and strong singular solutions of semilinear fractional elliptic equations
A paraître, Asymptotic Analysis. -
Elliptic Problem Involving Diffuse Measure Data
International audience
