Numerical computations for motion of vortices governed by a hyperbolic Ginzburg-Landau system

DOI10.1016/S0362-546X(01)00812-4zbMath1153.35361OpenAlexW2014122156MaRDI QIDQ697519

Kazuaki Nakane, Takeyuki Nagasawa, Seiro Omata

Publication date: 17 September 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00812-4

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Second-order nonlinear hyperbolic equations (35L70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (2)

A hyperbolic free boundary problem and its numerical and mathematical analysis ⋮ A numerical method based on the discrete morse semiflow related to parabolic and hyperbolic equation

Cites Work

• Stable solutions with zeros to the Ginzburg-Landau equation with Neumann boundary condition
• Numerical analysis for the discrete Morse semiflow related to the Ginzburg–Landau functional
• Stability of nonconstant steady-state solutions to a Ginzburg–Landau equation in higher space dimensions
• Ginzburg-landau equation and stable steady state solutions in a non-trivial domain
• On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables
• Ginzburg-Landau vortices
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