Damped Strichartz estimates and the incompressible Euler--Maxwell system
D Arsénio, H Houamed - arXiv preprint arXiv:2204.04277, 2022 - arxiv.org
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 …
an incompressible two-dimensional version of such systems and prove the existence and …
Global unique solutions to the planar inhomogeneous Navier--Stokes--Maxwell equations
D Arsénio, H Houamed - arXiv preprint arXiv:2403.18500, 2024 - arxiv.org
The evolution of an electrically conducting imcompressible fluid with nonconstant density
can be described by a set of equations combining the continuity, momentum and Maxwell's …
can be described by a set of equations combining the continuity, momentum and Maxwell's …
Fujita-Kato solutions and optimal time decay for the Vlasov-Navier-Stokes system in the whole space
R Danchin - arXiv preprint arXiv:2405.09937, 2024 - arxiv.org
We are concerned with the construction of global-in-time strong solutions for the
incompressible Vlasov-Navier-Stokes systemin the whole three-dimensional space. One of …
incompressible Vlasov-Navier-Stokes systemin the whole three-dimensional space. One of …
Ill-Posedness of the Incompressible Euler--Maxwell Equations in the Yudovich Class
H Houamed - arXiv preprint arXiv:2501.09679, 2025 - arxiv.org
It was shown recently by Ars\'enio and the author that the two-dimensional incompressible
Euler--Maxwell system is globally well-posed in the Yudovich class, provided that the …
Euler--Maxwell system is globally well-posed in the Yudovich class, provided that the …