Well-posedness for an hyperbolic-hyperbolic-elliptic system describing cold plasmas

DOI10.1016/j.aml.2023.108863zbMath1528.35110arXiv2309.06767OpenAlexW4386840725MaRDI QIDQ6066885

Rafael Granero-Belinchón, Diego Alonso-Orán

Publication date: 16 November 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.06767

zbMATH Keywords

well-posednesscold plasmahyperbolic-hyperbolic-elliptic system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with statistical mechanics (35Q82)

Cites Work

• Unnamed Item
• KDV limit of the hydromagnetic waves in cold plasma
• The confined Muskat problem: differences with the deep water regime
• A maximum principle applied to quasi-geostrophic equations
• Asymptotic shallow models arising in magnetohydrodynamics
• Rigorous asymptotic models of water waves
• A numerical and theoretical study of certain nonlinear wave phenomena
• Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
• Wave breaking in the unidirectional non-local wave model