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math.AP2009
Soliton dynamics for the Korteweg-de Vries equation with multiplicative homogeneous noise
Anne De Bouard, Arnaud Debussche
We consider a randomly perturbed Korteweg-de Vries equation. The perturbation is a random potential depending both on space and time, with a white noise behavior in time, and a reg…
math.AP2006
Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules
L. Desvillettes, G. Furioli, E. Terraneo
We prove that Gevrey regularity is propagated by the Boltzmann equation with Maxwellian molecules, with or without angular cut-off. The proof relies on the Wild expansion of the so…