207 citations
- Université Toulouse III - Paul SabatierFR40 papers
- Institut National des Sciences Appliquées de ToulouseFR30 papers
- Centre National de la Recherche ScientifiqueFR29 papers
- Toulouse Mathematics Institute21 papers
- Université Fédérale de Toulouse Midi-PyrénéesFR21 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR4 papers
- Laboratoire de Mathématiques Blaise PascalFR4 papers
- Laboratoire de Mathématiques d'OrsayFR3 papers
- École Nationale de l’Aviation CivileFR2 papers
- Institut Camille JordanFR2 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR2 papers
- Institut de Mathématiques de MarseilleFR2 papers
4 papers · 2 filters
Nonlocal minimal surfaces
L. A. Caffarelli, J. -M. Roquejoffre, O. Savin
The de Giorgi theory for minimal surfaces consists in studying sets whose indicator function is a (local) minimum of the BV norm. In this paper we replace the BV norm by the …
Blowup of solutions to a diffusive aggregation model
Piotr Biler, Grzegorz Karch, Philippe Laurençot
The nonexistence of global in time solutions is studied for a class of aggregation equations involving Lévy diffusion operators and general interaction kernels.
Looking for critical nonlinearity in the one-dimensional quasilinear Smoluchowski-Poisson system
Tomasz Cieślak, Philippe Laurençot
It is known that classical solutions to the one-dimensional quasilinear Smoluchowski-Poisson system with nonlinear diffusion may blow up in finite time if a…
Global Existence and Long-Time Asymptotics for Rotating Fluids in a 3D Layer
Thierry Gallay, Violaine Roussier-Michon
The Navier-Stokes-Coriolis system is a simple model for rotating fluids, which allows to study the influence of the Coriolis force on the dynamics of three-dimensional flows. In th…