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5 papers · 2 filters
Weak-strong uniqueness for the isentropic compressible Navier-Stokes system
Pierre Germain
We prove weak-strong uniqueness results for the isentropic compressible Navier-Stokes system on the torus. In other words, we give conditions on a strong solution so that it is uni…
Finite energy scattering for the Lorentz-Maxwell equation
Pierre Germain
In the case where the charge of the particle is small compared to its mass, we describe the asymptotics of the Lorentz-Maxwell equation for any finite-energy data. As time goes to…
Energy scattering for 2D critical wave equation
Slim Ibrahim, Mohamed Majdoub, Nader Masmoudi +1
We investigate existence and asymptotic completeness of the wave operators for nonlinear Klein-Gordon and Schrödinger equations with a defocusing exponential nonlinearity in two sp…
Energy Critical NLS in two space dimensions
Jim Colliander, Slim Ibrahim, Mohamed Majdoub +1
We investigate the initial value problem for a defocusing nonlinear Schrödingerequation with exponential nonlinearity. We identify subcritical, critical and supercritical regimes i…
Well-posedness for compressible Euler equations with physical vacuum singularity
Juhi Jang, Nader Masmoudi
An important problem in the theory of compressible gas flows is to understand the singular behavior of vacuum states. The main difficulty lies in the fact that the system becomes d…