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10 papers · 1 filter
Entropic Propagation and Generation of Chaos for McKean-Vlasov Diffusions with Polynomial Growth
Matteo Miannay
We study time-uniform propagation and generation of chaos for a class of McKean-Vlasov equations with polynomial growth potentials. Using an entropy dissipation method based on tim…
The Fast Limit Model Associated With The Euler-Maxwell-Two-Fluid System
Nicolas Besse, Christophe Cheverry
The filtering method applied at the level of the Euler-Maxwell-Two-Fluid system produces a Fast Limit Model (FLM) which captures up to the electron depth essential features of plas…
Small-time local control of a Schrödinger equation: a negative and a positive quadratic result
Karine Beauchard, Frédéric Marbach, Thomas Perrin
We study the small-time local controllability (STLC) of a bilinear Schrödinger equation with Neumann boundary conditions near its ground state. We focus on the degenerate case whe…
Relatively non-degenerate integrated decay estimates for massless Vlasov fields on Schwarzschild spacetimes
Léo Bigorgne, Renato Velozo Ruiz
In this article, we make use of a weight function capturing the concentration phenomenon of unstable future-trapped causal geodesics. A projection , on the tangent space of th…
An Example Of Accurate Microlocal Tunneling In One Dimension
Antide Duraffour, Nicolas Raymond
We investigate the spectral analysis of a class of pseudo-differential operators in one dimension. Under symmetry assumptions, we prove an asymptotic formula for the splitting of t…
Norm inflation in negative order Sobolev spaces for KdV and KP
Rémi Carles
We prove norm inflation phenomena for KdV and KP equations in negative order Sobolev spaces, in the periodic case, as well as on the whole space, on an arbitrarily large scale of n…