64 citations
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Showing 2021 · math.APShow all
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math.AP2021★ 1 cited
Stability of a cross-diffusion system and approximation by repulsive random walks: a duality approach
Vincent Bansaye, Ayman Moussa, Felipe Muñoz-Hernández
We consider conservative cross-diffusion systems for two species where individual motion rates depend linearly on the local density of the other species. We develop duality estimat…
math.AP2021
Probabilistic local well-posedness for the Schrödinger equation posed for the Grushin Laplacian
Louise Gassot, Mickaël Latocca
We study the local well-posedness of the nonlinear Schrödinger equation associated to the Grushin operator with random initial data. To the best of our knowledge, no well-posedness…