Schrödinger flows on compact Hermitian symmetric spaces and related problems

DOI10.1007/s10114-003-0263-5zbMath1036.58030OpenAlexW1983081659WikidataQ125741003 ScholiaQ125741003MaRDI QIDQ1396016

Hong-Yu Wang, Wei-Yue Ding, You-De Wang

Publication date: 22 September 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-003-0263-5

zbMATH Keywords

Heisenberg modelSchrödinger flowcompact irreducible Hermitian symmetric spaceexistence of global weak solutionDa Rios equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (7)

Classification of irreducible weight modules with a finite-dimensional weight space over twisted Heisenberg-Virasoro algebra ⋮ Global weak solutions to Landau-Lifshitz equations into compact Lie algebras ⋮ Ginzburg-Landau vortex and mean curvature flow with external force field ⋮ Lie bialgebras of generalized Virasoro-like type ⋮ Robin boundary value problem for one-dimensional Landau-Lifshitz equations ⋮ Existence and uniqueness of local regular solution to the Schrödinger flow from a bounded domain in \(\mathbb{R}^3\) into \(\mathbb{S}^2\) ⋮ Global smooth solution to the incompressible Navier-Stokes-Landau-Lifshitz equations

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