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10 papers · 1 filter
A short note on maximal regularity for the heat kernel in Besov spaces and a degenerate 3D Keller-Segel system
Pierre Gilles Lemarié-Rieusset
We prove global existence for a degenerate Keller-Segel equation with small initial values in a critical Lorentz space.
Some results for a stationary Navier-Stokes equation with a rough drift in a weighted functional framework
Diego Chamorro, Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci
In this article, we study some classes of solutions for a stationary Navier-Stokes equation where we consider a rough drift given by a singular integral operator which does not bel…
Global Mild solutions for the fractional Navier-Stokes-Boussinesq equations in critical Fourier-Herz-Lorentz spaces
Diego Chamorro, Maxence Mansais
We construct here global in time mild solutions to the forced fractional Navier-Stokes-Boussinesq system in some critical Fourier-Herz spaces which will be based on Lorentz norms i…
On Heat kernel Estimtes for Brownian SDEs with Distributional Drift
Stéphane Menozzi, Stefano Pagliarani
We establish heat-kernel bounds and regularity estimates for the transition densities of the diffusion associated with the martingale problem corresponding to the generator of a fo…
Weak error for SDEs with additive stable noise and singular drift: choose the test function in the same space as the drift!
Benjamin Jourdain, Stéphane Menozzi
We emphasize that for a stochastic differential equation with isotropic stable additive noise and non Lipschitz drift, when considering an appropriate discretization scheme and the…
Semidefinite relaxations for nonlinear elasticity with energies convex in the Cauchy-Green strain tensor
Didier Henrion, Milan Korda, Martin Kružík +2
In nonlinear elasticity, finding the deformation of a material which minimizes a given stored energy density is a challenging calculus of variations problem which may fail to have…