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Blow-up for nonlinear Maxwell equations

D’Ancona, Piero; Nicaise, Serge; Schnaubelt, Roland

Abstract: We construct classical solutions to the nonlinear Maxwell system with periodic boundary conditions which blow up in H(curl). A similar result is shown on the full space. Our construction is based on an analysis of a shock wave in one space dimension.

Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2016
Sprache Englisch
Identifikator DOI(KIT): 10.5445/IR/1000056574
ISSN: 2365-662X
URN: urn:nbn:de:swb:90-565744
KITopen ID: 1000056574
Verlag KIT, Karlsruhe
Umfang 9 S.
Serie CRC 1173 ; 2016/17
Schlagworte finite element methods, SBP-SAT finite differences, explicit time integration, local time-stepping, multi-level, multirate methods, hyperbolic problems
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