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5 papers · 2 filters
Nonlinear enhanced dissipation in viscous Burgers type equations II
Tej-Eddine Ghoul, Nader Masmoudi, Eliot Pacherie
In this follow up paper, we focus on the viscous Burgers equation. There, using the Hopf-Cole transformation, we compute the long time behavior of solutions for some classes of inf…
Damped Strichartz estimates and the incompressible Euler--Maxwell system
Diogo Arsénio, Haroune Houamed
Euler--Maxwell systems describe the dynamics of inviscid plasmas. In this work, we consider an incompressible two-dimensional version of such systems and prove the existence and un…
A dynamical approach to the study of instability near Couette flow
Hui Li, Nader Masmoudi, Weiren Zhao
In this paper, we obtain the optimal instability threshold of the Couette flow for Navier-Stokes equations with small viscosity , when the perturbations are in the critical sp…
Time quasi-periodic vortex patches of Euler equation in the plane
Massimiliano Berti, Zineb Hassainia, Nader Masmoudi
We prove the existence of time quasi-periodic vortex patch solutions of the 2-Euler equations in , close to uniformly rotating Kirchhoff elliptical vortices, with…
Identification of cavities and inclusions in linear elasticity with a phase-field approach
Andrea Aspri, Elena Beretta, Cecilia Cavaterra +2
In this paper, we deal with the inverse problem of the shape reconstruction of cavities and inclusions embedded in a linear elastic isotropic medium from boundary displacement's me…