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6 papers · 2 filters
Discrete velocity Boltzmann equation in the plane: stationary solutions
Leif Arkeryd, Anne Nouri
The paper proves existence of mild solutions to normal discrete velocity Boltzmann equations sin the plane with no pair of colinear interacting velocities, and given ingoing bounda…
An inverse problem: recovering the fragmentation kernel from the short-time behaviour of the fragmentation equation
Marie Doumic, Miguel Escobedo, Magali Tournus
The present paper provides a new representation of the solution to the fragmentation equation as a power series in the Banach space of Radon measures endowed with the total variati…
Local and global well-posedness of one-dimensional free-congested equations
Anne-Laure Dalibard, Charlotte Perrin
This paper is dedicated to the study of a one-dimensional congestion model, consisting of two different phases. In the congested phase, the pressure is free and the dynamics is inc…
Traveling waves for the porous medium equation in the incompressible limit: asymptotic behavior and nonlinear stability
Anne-Laure Dalibard, Gabriela Lopez-Ruiz, Charlotte Perrin
In this study, we analyze the behavior of monotone traveling waves of a one-dimensional porous medium equation modeling mechanical properties of living tissues. We are interested i…
Propagation phenomena in periodic patchy landscapes with interface conditions
François Hamel, Frithjof Lutscher, Mingmin Zhang
This paper is concerned with a model for the dynamics of a single species in a one-dimensional heterogeneous environment. The environment consists of two kinds of patches, which ar…
Reaction-diffusion fronts in funnel-shaped domains
François Hamel, Mingmin Zhang
We consider bistable reaction-diffusion equations in funnel-shaped domains of R N made up of straight parts and conical parts with positive opening angles. We study the large time…