Some remarks on the linearized operator about the radial solution for the Ginzburg--Landau equation.

DOI10.1016/S0362-546X(03)00128-7zbMath1035.34095OpenAlexW2027807211MaRDI QIDQ1400280

Anne Beaulieu

Publication date: 13 August 2003

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(03)00128-7

zbMATH Keywords

radial solutionseigenvalue estimateslinearized operatorGinzburg-Landau operator

Mathematics Subject Classification ID

Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (4)

Robusta priorierror analysis for the approximation of degree-one Ginzburg-Landau vortices ⋮ A posteriori error analysis for time-dependent Ginzburg-Landau type equations ⋮ Bounded solutions for an ordinary differential system from the Ginzburg–Landau theory ⋮ Asymptotic analysis for the radial minimizer of a second-order energy functional

Cites Work

• A bifurcation analysis for the Ginzburg-Landau equation
• Linear and nonlinear aspects of vortices. The Ginzburg-Landau model
• On the stability of radial solutions of the Ginzburg-Landau equation
• A qualitative study of the real solutions of an ordinary differential equation related to the Ginzburg-Landau equation
• Solutions of Ginzburg-Landau equations and critical points of the renormalized energy
• The stability of the radial solution to the ginzburg-landau equation
• Spiral Waves in Reaction-Diffusion Equations
• Minimizing properties of arbitrary solutions to the Ginzburg–Landau equation
• Unnamed Item

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