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math.AP2020
Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains
Adrien Dekkers, Anna Rozanova-Pierrat
The weak well-posedness results of the strongly damped linear wave equation and of the non linear Westervelt equation with homogeneous Dirichlet boundary conditions are proved on a…
math.AP2020★ 6 cited
Generalization of Rellich-Kondrachov theorem and trace compacteness in the framework of irregular and fractal boundaries
Anna Rozanova-Pierrat
We present a survey of recent results of the functional analysis allowing to solve PDEs in a large class of domains with irregular boundaries. We extend the previously introduced c…
math.AP2019
Mean field approximation of a heterogeneous population of plants in competition
Antonin Della Noce, Amélie Mathieu, Paul-Henry Cournède
The processes of interplant competition within a field are still poorly understood. However, they explain a large part of the heterogeneity in a field and may have longer-term cons…