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- Institut Camille JordanFR217 papers
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- Analyse, Géométrie et ModélisationFR13 papers
- Centre National de la Recherche ScientifiqueFR8 papers
- Institut de Mathématiques de MarseilleFR4 papers
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- Laboratoire de Mathématiques Blaise PascalFR4 papers
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4 papers · 2 filters
A field-road system with a rectifiable set
Matthieu Bonnivard, Romain Ducasse, Antoine Lemenant +1
The aim of this paper is to define a field-road system in 2D where the road is a merely 1D-rectifiable set. For this purpose we introduce a general setting in order to define a par…
Convergence of the fully discrete JKO scheme
Anastasiia Hraivoronska, Filippo Santambrogio
The JKO scheme provides the discrete-in-time approximation for the solutions of evolutionary equations with Wasserstein gradient structure. We study a natural space-discretization…
Using Sinkhorn in the JKO scheme adds linear diffusion
Aymeric Baradat, Anastasiia Hraivoronska, Filippo Santambrogio
The JKO scheme is a time-discrete scheme of implicit Euler type that allows to construct weak solutions of evolution PDEs which have a Wasserstein gradient structure. The purpose o…
Nonlinear partial differential equations in neuroscience: from modelling to mathematical theory
José A Carrillo, Pierre Roux
Many systems of partial differential equations have been proposed as simplified representations of complex collective behaviours in large networks of neurons. In this survey, we br…