Minimizing properties of arbitrary solutions to the Ginzburg–Landau equation

DOI10.1017/S0308210500019326zbMath0941.35021MaRDI QIDQ4935377

Petru Mironescu, Myriam Comte

Publication date: 25 June 2000

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

zbMATH Keywords

Ginzburg-Landau equationminimizer for Ginzburg-Landau energy

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (7)

Some remarks on the linearized operator about the radial solution for the Ginzburg--Landau equation. ⋮ Uniqueness of vortexless Ginzburg-Landau type minimizers in two dimensions ⋮ Radial solutions for the Ginzburg-Landau equation with applied magnetic field. ⋮ Unnamed Item ⋮ Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow. I: Study of the perturbed Ginzburg-Landau equation ⋮ A variational singular perturbation problem motivated by Ericksen's model for nematic liquid crystals ⋮ On a nonlocal problem involving a nonstandard nonhomogeneous differential operator

Cites Work

• Asymptotics for the minimization of a Ginzburg-Landau functional
• Quantization effects for \(-\Delta u=u(1-| u|^ 2)\) in \(\mathbb{R}^ 2\)
• Spiral Waves for $\lambda -\omega $ Systems
• Spiral Waves in Reaction-Diffusion Equations
• Uniqueness of solutions of the Ginzburg-Landau Problem

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