28 citations · 51 across the 13 of their papers we have counts for
12 papers · 1 filter
Subdiffusive fractional limit of a jump-renewal equation
Hugues Berry, Pierre Gabriel, Thomas Lepoutre +1
In this paper, we consider an age-structured jump model that arises as a description of continuous time random walks with infinite mean waiting time between jumps. We prove that un…
Adaptation to a changing environment: what me Normal?
Jimmy Garnier, O Cotto, T Bourgeron +4
Predicting the adaptation of populations to a changing environment is crucial to assess the impact of human activities on biodiversity. Many theoretical studies have tackled this i…
Improved duality estimates: time discrete case and applications to a class of cross-diffusion systems
Thomas Lepoutre
We adapt the improved duality estimates for bounded coefficients derived by Canizo et al. to the framework of cross diffusion. Since the estimates can not be directly applied we ne…
Entropic structure and duality for multiple species cross-diffusion systems
Thomas Lepoutre, Ayman Moussa
This paper deals with the existence of global weak solutions for a wide class of (multiple species) cross-diffusions systems. The existence is based on two different ingredients: a…
Quantitative convergence towards a self similar profile in an age-structured renewal equation for subdiffusion
Hugues Berry, Thomas Lepoutre, Álvaro Mateos González
Continuous-time random walks are generalisations of random walks frequently used to account for the consistent observations that many molecules in living cells undergo anomalous di…
On the entropic structure of reaction-cross diffusion systems
Laurent Desvillettes, Thomas Lepoutre, Ayman Moussa +1
This paper is devoted to the study of systems of reaction-cross diffusion equations arising in population dynamics. New results of existence of weak solutions are presented, allowi…