# name
Nonlinear transport equations and quasiconformal maps

# metadata.dc.description.abstract[].value
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

# metadata.dc.relation.ispartof[].value
Annales Fennici Mathematici, 2023, vol. 48, num.1, p. 375-387

# metadata.dc.rights[].value
cc-by-nc (c) Finnish Mathematical Society, 2023

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Nonlinear transport equations and quasiconformal maps