103 citations
- Laboratoire de Mathématiques Blaise PascalFR98 papers
- LAM FoundationUS41 papers
- Université d'Évry Val-d'EssonneFR36 papers
- Laboratoire Analyse et Modélisation pour la Biologie et l'EnvironnementFR35 papers
- Centre National de la Recherche ScientifiqueFR33 papers
- École Nationale Supérieure d’Informatique pour l’Industrie et l’EntrepriseFR24 papers
- Université Paris-SaclayFR20 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR15 papers
- Laboratoire de Probabilités, Statistique et ModélisationFR12 papers
- National Research University Higher School of EconomicsRU10 papers
- Université Paris CitéFR8 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR6 papers
7 papers · 2 filters
Heat kernel of supercritical SDEs with unbounded drifts
Stéphane Menozzi, Zhang Xicheng
Let and . Consider the following SDE in :where is a $d…
Regularity theory for the dissipative solutions of the MHD equations
Diego Chamorro, Jiao He
We study here a new generalization of Caffarelli, Kohn and Nirenberg's partial regularity theory for weak solutions of the MHD equations. Indeed, in this framework some hypotheses…
Evolution of dietary diversity and a starvation driven cross-diffusion system as its singular limit
Elisabetta Brocchieri, Lucilla Corrias, Helge Dietert +1
We rigorously prove the passage from a Lotka-Volterra reaction-diffusion system towards a cross-diffusion system at the fast reaction limit. The system models a competition of two…
Schauder estimates for degenerate Lévy Ornstein-Ulhenbeck operators
Lorenzo Marino
We establish global Schauder estimates for integro-partial differential equations (IPDE) driven by a possibly degenerate Lévy Ornstein-Uhlenbeck operator, both in the elliptic and…
Blow-up for a nonlinear PDE with fractional Laplacian and singular quadratic nonlinearity
Diego Chamorro, Elena Issoglio
We consider a parabolic-type PDE with a diffusion given by a fractional Laplacian operator and with a quadratic nonlinearity of the 'gradient' of the solution, convoluted with a si…
On the partial regularity theory for the MHD equations
Diego Chamorro, Jiao He
We generalize here the celebrated Partial Regularity Theory of Caffarelli, Kohn and Nirenberg to the MHD equations in the framework of parabolic Morrey spaces. This type of parabol…