166 citations
- Université de ToursFR468 papers
- Université d'OrléansFR393 papers
- Centre National de la Recherche ScientifiqueFR267 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR50 papers
- Idiap Research InstituteCH42 papers
- Far Eastern Federal UniversityRU38 papers
- Université de MontréalCA33 papers
- Centre de recherches mathématiquesCA26 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR19 papers
- Sorbonne UniversitéFR19 papers
- West University of TimişoaraRO19 papers
- Kyoto UniversityJP17 papers
63 papers · 1 filter
Degenerate Elliptic PDEs on a Network with Kirchhoff Conditions
Guy Barles, Olivier Ley, Erwin Topp
In this article, we are interested in semilinear, possibly degenerate elliptic equations posed on a general network, with nonlinear Kirchhoff-type conditions for its interior verti…
Revisiting the blow-up criterion and the maximal existence time for solutions of the parabolic-elliptic Keller-Segel system in 2d-Euclidean space
Patrick Maheux, Vittoria Pierfelice
In this paper, we revisit the blow-up criteria for the simplest parabolic-elliptic (PKS) system in the 2D Euclidean space, including a consumption term. In the supercritical mass c…
Planar pulsating traveling wave solutions of non-cooperative Fisher--KPP systems in space-time periodic media
Léo Girardin, Grégoire Nadin
Non-cooperative Fisher-KPP systems with space-time periodic coefficients are motivated for instance by models for structured populations evolving in periodic environments. This pap…
Singularities and asymptotics of solutions of the Chandrasekhar-Hailton-Jacobi equation
Marie-Françoise Bidaut-Véron, Laurent Véron
We study the local properties of positive solutions of the equation $-Δu+ m\abs{\nabla u}^q-e^{u}=0$ in a punctured domain of , , where is a pos…
On stability of one-dimensional Hughes' dynamics with affine costs
Boris Andreianov, Simone Fagioli, Massimiliano D. Rosini +1
We investigate stability issues for the one-dimensional variant of the celebrated Hughes model for pedestrian evacuation. The cost function is assumed to be affine, which is a sett…
Generalized principal eigenvalues for parabolic operators in bounded domains
Henri Berestycki, Grégoire Nadin, Luca Rossi
We introduce here new generalized principal eigenvalues for linear parabolic operators with heterogeneous coefficients in space and time. We consider a bounded spatial domain and a…