dc.contributor.author
Clop, Albert
dc.contributor.author
Sengupta, Banhirup
dc.date.issued
2025-06-10T08:20:30Z
dc.date.issued
2025-06-10T08:20:30Z
dc.date.issued
2023-05-16
dc.date.issued
2025-06-10T08:20:30Z
dc.identifier
https://hdl.handle.net/2445/221443
dc.description.abstract
We 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
application/pdf
dc.publisher
Finnish Mathematical Society
dc.relation
Reproducció del document publicat a: https://doi.org/https://doi.org/10.54330/afm.130026
dc.relation
Annales Fennici Mathematici, 2023, vol. 48, num.1, p. 375-387
dc.relation
https://doi.org/https://doi.org/10.54330/afm.130026
dc.rights
cc-by-nc (c) Finnish Mathematical Society, 2023
dc.rights
http://creativecommons.org/licenses/by-nc/4.0/
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Teoria del transport
dc.subject
Aplicacions quasiconformes
dc.subject
Equacions en derivades parcials
dc.subject
Problemes de valor inicial
dc.subject
Transport theory
dc.subject
Quasiconformal mappings
dc.subject
Partial differential equations
dc.subject
Initial value problems
dc.title
Nonlinear transport equations and quasiconformal maps
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion
