The regularity of the boundary of vortex patches for some nonlinear transport equations
DOI10.2140/apde.2023.16.1621zbMath1530.35195arXiv2103.05356OpenAlexW4386964490MaRDI QIDQ6185900
Joan Orobitg, Joan Mateu, Joan Verdera, Juan Carlos Cantero
Publication date: 9 January 2024
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.05356
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) First-order nonlinear hyperbolic equations (35L60) 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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Geophysical flows (76U60) Transport equations (35Q49)
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