Blow-up for nonlinear Maxwell equations
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/Preprint |
| Publikationsjahr | 2016 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X urn:nbn:de:swb:90-565744 KITopen-ID: 1000056574 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 9 S. |
| Serie | CRC 1173 ; 2016/17 |
| Schlagwörter | finite element methods, SBP-SAT finite differences, explicit time integration, local time-stepping, multi-level, multirate methods, hyperbolic problems |