The Euler–Poisswell/Darwin equation and the asymptotic hierarchy of the Euler–Maxwell equation
DOI10.3233/asy-231864OpenAlexW4387043327MaRDI QIDQ6071972
Jakob R. Møller, Norbert J. Mauser
Publication date: 29 November 2023
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3233/asy-231864
Euler equationnon-relativistic limitmathematical modelingquantum physicssemi-relativistic approximation
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with quantum mechanics (35Q40) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Special relativity (83A05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with relativity and gravitational theory (35Q75) Electromagnetic theory (general) (78A25) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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