We consider the discounted approximation of the critical Hamilton-Jacobi equation set on the real line associated with the Hamiltonian G(x,p):=H(x,p)-V(x), where H is a 1-periodic Tonelli Hamiltonian ...
Weak KAM theory originally connected Mather theory of Lagrangian Systems with Viscosity Theory of the solutions of the corresponding Hamilton-Jacobi Equation, at least when the Hamiltonian is obtained...
In the talk I will introduce some variational models where an aggregating term, like the perimeter or a Dirichlet-type energy, is in competition with a repulsive one. Examples of such models arise nat...
In this talk we will present some analysis aspects of gauge theory in high dimension. First, we will study the completion of the space of arbitrary smooth bundles and connections under L^p-control of ...
The interplay between variational functionals and the Brunn-Minkowski Theory is currently a well-established phenomenon that has been widely investigated in the last thirty years. In this talk, we pre...
In this talk I will present the synthesis of control laws for interacting agent-based dynamics and their mean-field limit. In particular, a linearization-based approach is used for the computation of ...
In this talk, I will introduce a filtering technique for Discontinuous Galerkin approximations of hyperbolic problems. After a brief overview of classical monotonization techniques, I will present an ...
This talk is devoted to the modeling and the stability of multi-lane traffic flow in the microscopic and macroscopic frameworks. First we present the study of a second order microscopic Follow-the-Lea...
This talk is devoted to the numerical approximation of mean field games problems. We consider two cases: a first order problem, i.e the diffusion is null, and a second order problem. For the first one...
In this talk, we will present a novel family of high order accurate direct Arbitrary-Lagrangian-Eulerian (ALE) Discontinuous Galerkin (DG) schemes with a posteriori subcell Finite Volume (FV) limiter,...
