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14 papers · 2 filters
On the Optimal Control of Variational-Hemivariational Inequalities
Yi-bin Xiao, Mircea Sofonea
The present paper represents a continuation of our previous one. There, a continuous dependence result for the solution of an elliptic variational-hemivariational inequality was ob…
Convergence and Optimization Results for a History-dependent Variational Problem
Mircea Sofonea, Andaluzia Matei
We consider a mixed variational problem in real Hilbert spaces, defined on on the unbounded interval of time and governed by a history-dependent operator. We state the unique solva…
Modulated Free Energy and Mean Field Limit
Didier Bresch, Pierre-Emmanuel Jabin, Zhenfu Wang
This is the document corresponding to the talk the first author gave at IH{É}S for the Laurent Schwartz seminar on November 19, 2019. It concerns our recent introduction of a modul…
Quantitative estimates of the threshold phenomena for propagation in reaction-diffusion equations
Matthieu Alfaro, Arnaud Ducrot, Gregory Faye
We focus on the (sharp) threshold phenomena arising in some reaction-diffusion equations supplemented with some compactly supported initial data. In the so-called ignition and bist…
Existence of infinite-energy and discretely self-similar global weak solutions for 3D MHD equations
Pedro Gabriel Fernández-Dalgo, Oscar Jarrín
This paper deals with the existence of global weak solutions for 3D MHD equations when the initial data belong to the weighted spaces , with and $…
Concentration estimates in a multi-host epidemiological model structured by phenotypic traits
Jean-Baptiste Burie, Arnaud Ducrot, Quentin Griette +1
In this work we consider an epidemic system modelling the evolution of a spore-producing pathogen within a multi-host population of plants. Here we focus our analysis on the study…