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5 papers · 2 filters
Global asymptotic expansion for anisotropic singularly perturbed elliptic problems
David Maltese, Chokri Ogabi
In this paper, we study some anisotropic singular perturbations for a class of linear elliptic problems. We show a global asymptotic expansion of the solution in certain functional…
Bifurcating solitonic vortices in a strip
Amandine Aftalion, Philippe Gravejat, Etienne Sandier
The specific geometry of a strip provides connections between solitons and solitonic vortices, which are vortices with a solitonic behaviour in the infinite direction of the strip.…
Infinite dimensional metapopulation SIS model with generalized incidence rate
Jean-François Delmas, Kacem Lefki, Pierre-André Zitt
We consider an infinite-dimension SIS model introduced by Delmas, Dronnier and Zitt, with a more general incidence rate, and study its equilibria. Unsurprisingly, there exists at l…
Stochastic porous media equation with Robin boundary conditions, gravity-driven infiltration and multiplicative noise
Ioana Ciotir, Dan Goreac, Juan Li +1
We aim at studying a novel mathematical model associated to a physical phenomenon of infiltration in an homogeneous porous medium. The particularities of our system are connected t…
On the global convergence of Wasserstein gradient flow of the Coulomb discrepancy
Siwan Boufadène, François-Xavier Vialard
In this work, we study the Wasserstein gradient flow of the Riesz energy defined on the space of probability measures. The Riesz kernels define a quadratic functional on the space…