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math.AP2018
Asymptotics of the three dimensional Vlasov equation in the large magnetic field limit
Francis Filbet, Luis Miguel Rodrigues
We study the asymptotic behavior of solutions to the Vlasov equation in the presence of a strong external magnetic field. In particular we provide a mathematically rigorous derivat…
math.AP2018★ 11 cited
Large-time asymptotic stability of Riemann shocks of scalar balance laws
Vincent Duchêne, Luis Miguel Rodrigues
We prove the large-time asymptotic orbital stability of strictly entropic Riemann shock solutions of first order scalar hyperbolic balance laws, under piecewise regular perturbatio…