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33 papers · 1 filter
On the fractional diffusion for the linear Boltzmann equation with drift and general cross-section
Dahmane Dechicha
This paper is devoted to the hydrodynamic limit for the linear Boltzmann equation, in the case of a heavy tail equilibrium and a cross section which depends on the space variable a…
Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics
Diogo Arsénio, Zineb Hassainia, Haroune Houamed
This paper is devoted to the global analysis of the three-dimensional axisymmetric Navier--Stokes--Maxwell equations. More precisely, we are able to prove that, for large values of…
Dynamic Behavior of a Multi-Layer Quasi-Geostrophic Model: Weak and Time-Periodic Solutions
Zineb Hassainia, Haroune Houamed
The quasi-geostrophic two-layer (QS2L) system models the dynamic evolution of two interconnected potential vorticities, each is governed by an active scalar equation. These vortici…
Inviscid damping of monotone shear flows for 2D inhomogeneous Euler equation with non-constant density in a finite channel
Weiren Zhao
We prove the nonlinear inviscid damping for a class of monotone shear flows with non-constant background density for the two-dimensional ideal inhomogeneous fluids in $\mathbb{T}\t…
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…