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https://hdl.handle.net/2445/221443| Title: | Nonlinear transport equations and quasiconformal maps |
| Author: | Clop, Albert Sengupta, Banhirup |
| Keywords: | Teoria del transport Aplicacions quasiconformes Equacions en derivades parcials Problemes de valor inicial Transport theory Quasiconformal mappings Partial differential equations Initial value problems |
| Issue Date: | 16-May-2023 |
| Publisher: | Finnish Mathematical Society |
| 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 |
| Note: | Reproducció del document publicat a: https://doi.org/https://doi.org/10.54330/afm.130026 |
| It is part of: | Annales Fennici Mathematici, 2023, vol. 48, num.1, p. 375-387 |
| URI: | https://hdl.handle.net/2445/221443 |
| Related resource: | https://doi.org/https://doi.org/10.54330/afm.130026 |
| ISSN: | 2737-0690 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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