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math.AP2019
Backward self-similar solutions for compressible Navier-Stokes equations
Pierre Germain, Tsukasa Iwabuchi, Tristan Léger
This article is devoted to backward self-similar blow up solutions of the compressible Navier-Stokes equations with radial symmetry. We show that such solutions cannot exist if the…
math.AP2019
Scattering for a particle interacting with a Bose gas
Tristan Léger
We study the asymptotic behavior of solutions to an ODE - Schrödinger type system that models the interaction of a particle with a Bose gas. We show that the particle has a ballist…
math.AP2018★ 6 cited
Global existence and scattering for quadratic NLS with potential in 3D
Tristan Léger
In this article we study the asymptotic behavior of a quadratic NLS equation with small, time-dependent potential and small spatially localized initial data. We prove global existe…