Blow-up for nonlinear Maxwell equations

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dc.contributor.authorD'Ancona, Piero
dc.contributor.authorNicaise, Serge
dc.contributor.authorSchnaubelt, Roland
dc.date.accessioned2022-01-26T18:54:44Z
dc.date.available2022-01-26T18:54:44Z
dc.date.issued2018-03-15
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationD'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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15215
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectQuasilinear Maxwell system
dc.subjectBlow-up
dc.subjectShock
dc.subjectKerr model
dc.titleBlow-up for nonlinear Maxwell equations
dc.typeArticle

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