Some exact nontrivial global solutions with values in unit sphere for two-dimensional Landau–Lifshitz equations

DOI10.1063/1.1402955zbMath1063.35047OpenAlexW2007999408MaRDI QIDQ2774722

Gan-shan Yang, Bo-ling Guo

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1402955

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Solutions to PDEs in closed form (35C05)

Related Items (14)

Existence of the global attractor to fractional order generalized coupled nonlinear Schrödinger equations with derivative ⋮ Existence and uniqueness of weak solutions to the Landau–Lifshitz equation for large ferromagnetic bodies ⋮ Convergence of numerical solution for the inhomogeneous Landau‐Lifshitz equations with Gilbert damping ⋮ Vanishing Gilbert damping limit problem of Landau–Lifshitz–Gilbert equation ⋮ Limit behavior of solution for multi-dimensional Landau-Lifshitz equations with external magnetic field ⋮ Some blow-up and smooth solutions about Landau-Lifshitz equation and their spatial curvature behavior ⋮ Some new results for the multidimensional Landau --Lifshitz equations ⋮ Globally well and ill posedness for non-elliptic derivative Schrödinger equations with small rough data ⋮ Energy decay rate of multidimensional inhomogeneous Landau-Lifshitz-Gilbert equation and Schrödinger map equation on the sphere ⋮ Solitary wave solutions to the multidimensional Landau-Lifshitz equation ⋮ The numerical convergence of the Landau-Lifshitz equations and its simulation ⋮ Some exact solutions to multidimensional Landau-Lifshitz equation with uprush external field and anisotropy field ⋮ Explicit piecewise smooth solutions of Landau-Lifshitz equation with discontinuous external field ⋮ SOME PERIODIC AND BLOW-UP SOLUTIONS FOR LANDAU–LIFSHITZ EQUATION

Cites Work

• Blow up problem for Landau-Lifshitz equations in two dimensions

This page was built for publication: Some exact nontrivial global solutions with values in unit sphere for two-dimensional Landau–Lifshitz equations