Nonlinear transport equations and quasiconformal maps

DOI10.54330/afm.130026zbMath1523.30030arXiv2204.00813MaRDI QIDQ6047187

Banhirup Sengupta, Albert Clop

Publication date: 7 September 2023

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.00813

zbMATH Keywords

existence of solutionstransport equationquasiconformal map

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear first-order PDEs (35F25) Quasiconformal mappings in the complex plane (30C62) Transport equations (35Q49)

Cites Work

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• Linear transport equations for vector fields with subexponentially integrable divergence
• Flows for non-smooth vector fields with subexponentially integrable divergence
• Ordinary differential equations and quasiconformal mappings
• A note on transport equation in quasiconformally invariant spaces
• Sobolev regular flows of non-Lipschitz vector fields
• Beltrami operators in the plane
• Vorticity and Incompressible Flow
• On invertibility of Sobolev mappings

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