Universitat de Barcelona
2025-06-10T08:20:30Z
2025-06-10T08:20:30Z
2023-05-16
2025-06-10T08:20:30Z
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
Article
Versió publicada
Anglès
Teoria del transport; Aplicacions quasiconformes; Equacions en derivades parcials; Problemes de valor inicial; Transport theory; Quasiconformal mappings; Partial differential equations; Initial value problems
Finnish Mathematical Society
Reproducció del document publicat a: https://doi.org/https://doi.org/10.54330/afm.130026
Annales Fennici Mathematici, 2023, vol. 48, num.1, p. 375-387
https://doi.org/https://doi.org/10.54330/afm.130026
cc-by-nc (c) Finnish Mathematical Society, 2023
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