Hydrodynamic limit of the Maxwell-Schrödinger equations to the compressible Euler-Maxwell equations

DOI10.1016/J.JDE.2024.03.001MaRDI QIDQ6493727

Bora Moon, Jeong-Ho Kim

Publication date: 29 April 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

hydrodynamic limitmodulated energyMaxwell-Schrödinger equationscompressible Euler-Maxwell equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• The non-relativistic limit of the Vlasov-Maxwell system with uniform macroscopic bounds
• Global existence and uniqueness of solutions to the Maxwell-Schrödinger equations
• Local well-posedness for the Maxwell-Schrödinger equation
• The Cauchy problem for the coupled Maxwell–Schrödinger equations
• CONVERGENCE OF THE SCHRÖDINGER–POISSON SYSTEM TO THE INCOMPRESSIBLE EULER EQUATIONS

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