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Blow–up for nonlinear Maxwell equations

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.
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Submitted on : Wednesday, February 10, 2021 - 3:13:12 PM
Last modification on : Saturday, October 9, 2021 - 3:15:37 AM

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  • HAL Id : hal-03137619, version 1

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Piero d'Ancona, Serge Nicaise, Roland Schnaubelt. Blow–up for nonlinear Maxwell equations. Electronic Journal of Differential Equations, Texas State University, Department of Mathematics, 2018, pp.1-9. ⟨hal-03137619⟩

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