On the local and global existence of solutions to 1d transport equations with nonlocal velocity

DOI10.3934/nhm.2019019zbMath1428.35320arXiv1806.01011OpenAlexW2963093897WikidataQ127747067 ScholiaQ127747067MaRDI QIDQ2328359

Hantaek Bae, Omar Lazar, Rafael Granero-Belinchón

Publication date: 10 October 2019

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.01011

zbMATH Keywords

global weak solution1D modelsfluid equations

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) PDEs in connection with geophysics (35Q86) Euler equations (35Q31) Strong solutions to PDEs (35D35)

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