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Nonlinear Transport Equations and Quasiconformal Maps by Clop, Albert; Sengupta, Banhirup is a scholarly article available to read on EtoBox.

What is Nonlinear Transport Equations and Quasiconformal Maps about?

We prove existence of solutions to a nonlinear transport equation in the plane, for which the velocity field is obtained as the convolution of the classical Cauchy Kernel with the unknown. Even though the initial datum is bounded and compactly supported, the velocity field may have unbounded divergence. The proof is based on the compactness property of quasiconformal mappings.

Author

Clop, Albert; Sengupta, Banhirup

Published

2022

Language

EN