The initial-value problem for a fourth-order dispersive closed curve flow on the 2-sphere

DOI10.1017/S0308210516000470zbMath1383.35173OpenAlexW2748112258MaRDI QIDQ4602907

Eiji Onodera

Publication date: 7 February 2018

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210516000470

zbMATH Keywords

gauge transformationloss of derivativesvortex filamentlocal existence and uniquenessfourth-order dispersive partial differential equationHeisenberg spin chain systems

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Statistical mechanics of magnetic materials (82D40) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61) PDEs in connection with statistical mechanics (35Q82)

Related Items (4)

A fourth-order dispersive flow equation for closed curves on compact Riemann surfaces ⋮ A fifth-order dispersive partial differential equation for curve flow on the sphere ⋮ Uniqueness Of 1D generalized bi-Schrödinger flow ⋮ Local existence of a fourth-order dispersive curve flow on locally Hermitian symmetric spaces and its application

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