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math.AP2025
Sobolev instability for perturbations of periodic transport equations
Gabriel Rivière, Maria Teresa Rotolo
We consider linear and time-dependent perturbations of periodic transport equations on the two-dimensional torus. For generic perturbations, we prove the existence of a large class…
math.AP2024
Nonlinear chaotic Vlasov equations
Yann Chaubet, Daniel Han-Kwan, Gabriel Rivière
In this article, we study nonlinear Vlasov equations with a smooth interaction kernel on a compact manifold without boundary where the geodesic flow exhibits strong chaotic behavio…