Global solutions of Euler–Maxwell equations with dissipation
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.
Authors
- Bernard Ducomet
- Šárka Nečasová (ORCID: https://orcid.org/0000-0003-3853-4633)
- John Sebastian H. Simon (ORCID: https://orcid.org/0000-0002-7711-9582)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Austrian Academy of Sciences (AT)
- Université Paris-Est Créteil (FR)
- Czech Academy of Sciences, Institute of Mathematics (CZ)
- Laboratoire d’Analyse et de Mathématiques Appliquées (FR)
- Johann Radon Institute for Computational and Applied Mathematics (AT)
Publication Details
- Journal
- Annali di Matematica Pura ed Applicata (1923 -)
- Published
- 2024-12-31
- DOI
- https://doi.org/10.1007/s10231-024-01538-9
- Citations
- 1
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.97
Funders
- Grantová Agentura České Republiky
- Akademie Věd České Republiky