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7 papers · 2 filters
Qualitative properties of the spreading speed of a population structured in space and in phenotype
Nathanaël Boutillon
We consider a nonlocal Fisher-KPP equation that models a population structured in space and in phenotype. The population lives in a heterogeneous periodic environment: the diffusio…
Reaction-diffusion model for a population structured in phenotype and space I -- Criterion for persistence
Nathanaël Boutillon, Luca Rossi
We consider a reaction-diffusion model for a population structured in phenotype. We assume that the population lives in a heterogeneous periodic environment, so that a given phenot…
New results on biorthogonal families in cylindrical domains and controllability consequences
F. Ammar Khodja, A. Benabdallah, M. González-Burgos +2
In this article we consider moment problems equivalent to null controllability of some linear parabolic partial differential equations in space dimension higher than one. For these…
A Faber-Krahn inequality for the Laplacian with drift under Robin boundary condition
François Hamel, Emmanuel Russ
We prove a Faber-Krahn inequality for the Laplacian with drift under Robin boundary condition, provided that the parameter in the Robin condition is large enough. The proof rel…
Stability of partially congested travelling wave solutions for the extended Aw-Rascle system
Émile Deléage, Muhammed Ali Mehmood
We prove the non-linear stability of a class of travelling-wave solutions to the extended Aw-Rascle system with a singular offset function, which is formally equivalent to the comp…
Reverse inequalities for quasi-Riesz transform on the Vicsek cable system
Baptiste Devyver, Emmanuel Russ
This work is devoted to the study of so-called ``reverse Riesz'' inequalities and suitable variants in the context of some fractal-like cable systems. It was already proved by L. C…