Lq-Helmholtz decomposition and Lq-spectral theory for the Maxwell operator on periodic domains
Abstract:
We investigate the Helmholtz decomposition on periodic domains and prove the existence of the Lq-Helmholtz decomposition on periodic domains for a suitable range of q depending on the regularity of the boundary. As applications, we prove a spectral multiplier theorem for a Maxwell-type operator and study the incompressible Navier-Stokes equations on periodic domains in the Lq-setting.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) |
| Publikationstyp | Hochschulschrift |
| Publikationsjahr | 2016 |
| Sprache | Englisch |
| Identifikator | urn:nbn:de:swb:90-527615 KITopen-ID: 1000052761 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Art der Arbeit | Dissertation |
| Fakultät | Fakultät für Mathematik (MATH) |
| Institut | Institut für Analysis (IANA) |
| Prüfungsdaten | 27.01.2016 |
| Schlagwörter | Helmholtz decomposition, periodic domain, Maxwell operator, Navier-Stokes equations |
| Nachgewiesen in | OpenAlex |
| Referent/Betreuer | Kunstmann, P. C. |