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4 papers · 2 filters
The Vlasov-Navier-Stokes system in a 2D pipe: existence and stability of regular equilibria
Olivier Glass, Daniel Han-Kwan, Ayman Moussa
In this paper, we study the Vlasov-Navier-Stokes system in a 2D pipe with partially absorbing boundary conditions. We show the existence of stationary states for this system near s…
Classification of nonlinear boundary conditions for 1D nonconvex Hamilton-Jacobi equations
Jessica Guerand
We study Hamilton-Jacobi equations in [0, +) of evolution type with nonlinear boundary conditions of Neumann type in the case where the Hamiltonian is non necessarily conve…
A stochastic Hamilton-Jacobi equation with infinite speed of propagation
Paul Gassiat
We give an example of a stochastic Hamilton-Jacobi equation which has an infinite speed of propagation as soon as the driving signal is not of bounded variation…
Flux-limited solutions and state constraints for quasi-convex Hamilton-Jacobi equations
Jessica Guerand
Imbert and Monneau proved that Soner's formulation of state constraint problems on a bounded interval is equivalent to the so-called flux-limited formulation they introduced recent…