Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/221443
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dc.contributor.authorClop, Albert-
dc.contributor.authorSengupta, Banhirup-
dc.date.accessioned2025-06-10T08:20:30Z-
dc.date.available2025-06-10T08:20:30Z-
dc.date.issued2023-05-16-
dc.identifier.issn2737-0690-
dc.identifier.urihttps://hdl.handle.net/2445/221443-
dc.description.abstractWe prove existence of solutions to a nonlinear transport equation in the plane,for which the velocity field is obtained as the convolution ofthe classical Cauchy kernel with theunknown. Even though the initial datum is bounded and compactly supported, the velocity fieldmay have unbounded divergence. The proof is based on the compactness property of quasiconformalmappings-
dc.format.extent13 p.-
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherFinnish Mathematical Society-
dc.relation.isformatofReproducció del document publicat a: https://doi.org/https://doi.org/10.54330/afm.130026-
dc.relation.ispartofAnnales Fennici Mathematici, 2023, vol. 48, num.1, p. 375-387-
dc.relation.urihttps://doi.org/https://doi.org/10.54330/afm.130026-
dc.rightscc-by-nc (c) Finnish Mathematical Society, 2023-
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/-
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)-
dc.subject.classificationTeoria del transport-
dc.subject.classificationAplicacions quasiconformes-
dc.subject.classificationEquacions en derivades parcials-
dc.subject.classificationProblemes de valor inicial-
dc.subject.otherTransport theory-
dc.subject.otherQuasiconformal mappings-
dc.subject.otherPartial differential equations-
dc.subject.otherInitial value problems-
dc.titleNonlinear transport equations and quasiconformal maps-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.identifier.idgrec758716-
dc.date.updated2025-06-10T08:20:30Z-
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess-
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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