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.

Blow--up for nonlinear Maxwell equations / D'Ancona, Piero; Schnaubelt, Roland; Nicaise, Serge. - In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1072-6691. - ELETTRONICO. - 73:(2018), pp. 1-9.

Blow--up for nonlinear Maxwell equations

D'Ancona, Piero
Investigation
;
2018

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.
2018
Quasilinear Maxwell system; blow--up; shock; Kerr
01 Pubblicazione su rivista::01a Articolo in rivista
Blow--up for nonlinear Maxwell equations / D'Ancona, Piero; Schnaubelt, Roland; Nicaise, Serge. - In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1072-6691. - ELETTRONICO. - 73:(2018), pp. 1-9.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1073988
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