A fifth-order dispersive partial differential equation for curve flow on the sphere

DOI10.1016/j.jmaa.2021.125297zbMath1477.35267OpenAlexW3160328474WikidataQ115345876 ScholiaQ115345876MaRDI QIDQ2038188

Haruka Yamasaki, Eiji Onodera

Publication date: 9 July 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125297

zbMATH Keywords

energy methodgauge transformationlocal existence and uniquenessloss of derivativenonlinear dispersive partial differential equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Vortex flows for incompressible inviscid fluids (76B47) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of magnetic materials (82D40) Higher-order parabolic equations (35K25) Ginzburg-Landau equations (35Q56) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with statistical mechanics (35Q82)

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