Work

Global solutions of Euler–Maxwell equations with dissipation

Year: 2024

Type: article

Abstract: We consider the Cauchy problem for a damped Euler–Maxwell system with no ionic background. For smooth enough data satisfying suitable so-called dispersive conditions, we establish the global in time existence and uniqueness of a strong solution that decays uniformly in time. Our method is inspired by the works of D. Serre and M. Grassin dedicated to the compressible Euler system.

Source: Annali di Matematica Pura ed Applicata (1923 -)

DOI: 10.1007/s10231-024-01538-9

Authors: Bernard Ducomet, Šárka Nečasová, John Sebastian H. Simon

Institutions: Centre National de la Recherche Scientifique, Université Paris-Est Créteil, Laboratoire d’Analyse et de Mathématiques Appliquées, Czech Academy of Sciences, Czech Academy of Sciences, Institute of Mathematics, Austrian Academy of Sciences, Johann Radon Institute for Computational and Applied Mathematics

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Grantová Agentura České Republiky, Akademie Věd České Republiky

Awards: Mathematical theory and numerical analysis for equations of viscous newtonian compressible fluids, G7574269588

OpenAlex ID: W4405929203

FWCI: 3.061

Cites: 34

Cited by: 4

Related to: 10