Blow-up for nonlinear Maxwell equations
Date
2018-03-15
Authors
D'Ancona, Piero
Nicaise, Serge
Schnaubelt, Roland
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Quasilinear Maxwell system, Blow-up, Shock, Kerr model
Citation
D'Ancona, P., Nicaise, S., & Schnaubelt, R. (2018). Blow-up for nonlinear Maxwell equations. <i>Electronic Journal of Differential Equations, 2018</i>(73), pp. 1-9.