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25 papers · 2 filters
Solvability of a fourth order elliptic problem in a bounded sector, part I
Rabah Labbas, Stéphane Maingot, Alexandre Thorel
The purpose of this article (composed of two parts) is the study of the generalized dispersal operator of a reaction-diffusion equation in -spaces set in the finite conical do…
Asymptotic stability of small standing solitary waves of the one-dimensional cubic-quintic Schrödinger equation
Yvan Martel
For the Schrödinger equation with a cubic-quintic, focusing-focusing nonlinearity in one space dimension, this article proves the local asymptotic completeness of the family of sma…
A class of germs arising from homogenization in traffic flow on junctions
Pierre Cardaliaguet, Nicolas Forcadel, Regis Monneau
We consider traffic flows described by conservation laws. We study a 2:1 junction (with two incoming roads and one outgoing road) or a 1:2 junction (with one incoming road and two…
Liouville type theorems for stationary Navier-Stokes equations with Lebesgue spaces of variable exponent
Diego Chamorro, Gastón Vergara-Hermosilla
In this article we study some Liouville-type theorems for the stationary 3D Navier-Stokes equations. These results are related to the uniqueness of weak solutions for this system u…
Coercive Hamilton-Jacobi equations in domains: the twin blow-ups method
Nicolas Forcadel, Cyril Imbert, Regis Monneau
In this note, we consider an evolution coercive Hamilton-Jacobi equation posed in a domain and supplemented with a boundary condition. We are interested in proving a comparison pri…
Eternal solutions to a porous medium equation with strong nonhomogeneous absorption. Part I: Radially non-increasing profiles
Razvan Gabriel Iagar, Philippe Laurençot
Existence of specific \emph{eternal solutions} in exponential self-similar form to the following quasilinear diffusion equation with strong absorption$$\partial_t u=Δu^m-|x|^σu^q,$…