DE

Modul

Nonlinear Maxwell Equations [M-MATH-103257]

Credits
3
Recurrence
Unregelmäßig
Duration
1 Semester
Language
Level
4
Version
1

Responsible

Organisation

  • KIT-Fakultät für Mathematik

Part of

Bricks

Identifier Name LP
T-MATH-106484 Nonlinear Maxwell Equations 3

Prerequisites

none

Content

  • Short introduction to nonlinear contraction semigroups in Hilbert spaces and to the spaces H(curl) and H(div).
  • Semilinear case:
    Maxwell's equations with linear material laws and nonlinear conductivity. Wellposedness by means of maximal monotone operators. Long-term behavior.
  • Quasilinear case:
    Maxwell's equations with nonlinear instantaneous material laws. Local wellposedness on the whole space via linearisation, apriori estimates and regularization. Blow-up examples. Outlook to results on domains.