Blow-up for nonlinear Maxwell equations

D'Ancona, PieroNicaise, SergeSchnaubelt, Roland2022-01-262022-01-262018-03-15D'Ancona, P., Nicaise, S., & Schnaubelt, R. (2018). Blow-up for nonlinear Maxwell equations. <i>Electronic Journal of Differential Equations, 2018</i>(73), pp. 1-9.1072-6691https://hdl.handle.net/10877/15215We 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.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalQuasilinear Maxwell systemBlow-upShockKerr modelBlow-up for nonlinear Maxwell equationsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.