- Institut Camille JordanFR9 papers
- Laboratoire Amiénois de Mathématique Fondamentale et AppliquéeFR2 papers
- Lyon 1 UniversitéFR2 papers
- Université de Picardie Jules VerneFR2 papers
- Centre National de la Recherche ScientifiqueFR1 paper
- International Center for Transitional JusticeUS1 paper
- Politecnico di MilanoIT1 paper
- University College DublinIE1 paper
- University of KairouanTN1 paper
- University of WrocławPL1 paper
6 papers · 1 filter
Using Sinkhorn in the JKO scheme adds linear diffusion
Aymeric Baradat, Anastasiia Hraivoronska, Filippo Santambrogio
The JKO scheme is a time-discrete scheme of implicit Euler type that allows to construct weak solutions of evolution PDEs which have a Wasserstein gradient structure. The purpose o…
Asymptotically homogeneous solutions of the supercritical Lane-Emden system
Louis Dupaigne, Hatem Hajlaoui, Marius Ghergu
We consider the Lane-Emden system-u = |v| p-1 v,-v = |u| q-1 u in R d. When p q 1, it is known that there exists a positive radial stable solution (u, v) C…
Large self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field
Lorenzo Brandolese, Grzegorz Karch
The Navier-Stokes system for an incompressible fluid coupled with the equation for a heat transfer is considered in the whole three dimensional space. This system is invariant unde…
Liouville-type theorems for the Lane-Emden equation in the half-space and cones
Louis Dupaigne, Alberto Farina, Troy Petitt
We prove that 0 the only classical solution of the Lane-Emden equation in the half-space which is stable outside a compact set. We also consider weak solutions and the case of gene…
Sharp well-posedness and blowup results for parabolic systems of the Keller-Segel type
Piotr Biler, Alexandre Boritchev, Lorenzo Brandolese
We study two toy models obtained after a slight modification of the nonlinearity of the usual doubly parabolic Keller-Segel system. For these toy models, both consisting of a syste…
Regularity and Symmetry for Semilinear Elliptic Equations in Bounded Domains
Louis Dupaigne, Alberto Farina
In the present paper, we investigate the regularity and symmetry properties of weak solutions to semilinear elliptic equations which are locally stable.