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math.AP2022★ 1 cited
A mathematical analysis of the Kakinuma model for interfacial gravity waves. Part II: Justification as a shallow water approximation
Vincent Duchêne, Tatsuo Iguchi
We consider the Kakinuma model for the motion of interfacial gravity waves. The Kakinuma model is a system of Euler-Lagrange equations for an approximate Lagrangian, which is obtai…
math.AP2021
Non coercive unbounded first order Mean Field Games: the Heisenberg example
Paola Mannucci, Claudio Marchi, Nicoletta Tchou
In this paper we study evolutive first order Mean Field Games in the Heisenberg group; each agent can move in the whole space but it has to follow "horizontal" trajectories which a…
math.AP2007★ 41 cited
On the uniqueness for the spatially homogeneous Boltzmann equation with a strong angular singularity
Nicolas Fournier, Hélène Guérin
We prove an inequality on the Wasserstein distance with quadratic cost between two solutions of the spatially homogeneous Boltzmann equation without angular cutoff, from which we d…