Zeros of complex caloric functions and singularities of complex viscous Burgers equation

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dc.creatorPolacik, Peter
dc.creatorSverak, Vladimir
dc.date2006-12-18
dc.date.accessioned2026-07-07T07:35:42Z
dc.date.available2026-07-07T07:35:42Z
dc.descriptionWe show that the 1d viscous Burgers equation considered for complex valued functions develops finite-time singularities from compactly supported smooth data. By means of the Cole-Hopf transformation, the singularities of the solutions are related to zeros of complex-valued solutions of the heat equation. We prove that such zeros are isolated if they are not present in the initial data.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0612506
dc.identifierhttp://arxiv.org/abs/math/0612506
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120182
dc.subjectAnalysis of PDEs
dc.titleZeros of complex caloric functions and singularities of complex viscous Burgers equation
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