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.File allegati a questo prodotto
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