scientific article; zbMATH DE number 5058800

zbMath1121.35052MaRDI QIDQ5489529

Didier Smets, Giandomenico Orlandi, Fabrice Bethuel

Publication date: 28 September 2006

Full work available at URL: https://eudml.org/doc/84562

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Stability in context of PDEs (35B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (7)

Measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank energy ⋮ Quantization and motion law for Ginzburg-Landau vortices ⋮ \(\mathbb S^1\)-valued Sobolev maps ⋮ Limiting motion for the parabolic Ginzburg-Landau equation with infinite energy data ⋮ Asymptotics for the Ginzburg-Landau equation on manifolds with boundary under homogeneous Neumann condition ⋮ Existence and limiting behavior of min-max solutions of the Ginzburg-Landau equations on compact manifolds ⋮ Global Uniform Estimate for the Modulus of Two-Dimensional Ginzburg-Landau Vortexless Solutions with Asymptotically Infinite Boundary Energy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
• Collisions and phase-vortex interactions in dissipative Ginzburg-Landau dynamics
• Existence and partial regularity results for the heat flow for harmonic maps
• Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
• Asymptotics for the minimization of a Ginzburg-Landau functional
• On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2 dimensions
• A simple proof of an inequality of Bourgain, Brezis and Mironescu.
• Vortex rings for the Gross-Pitaevskii equation
• The Jacobian and the Ginzburg-Landau energy
• Thin sets in nonlinear potential theory
• New estimates for the Laplacian, the div-curl, and related Hodge systems
• \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation
• Motion of concentration sets in Ginzburg-Landau equations.
• Compensated compactness and Hardy spaces
• A qualitative study of the real solutions of an ordinary differential equation related to the Ginzburg-Landau equation
• Vortices for a variational problem related to superconductivity
• The behavior of a Ginzburg-Landau minimizer near its zeroes
• Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents
• Convergence of the parabolic Ginzburg-Landau equation to motion by mean curvature
• A quantization property for static Ginzburg-Landau vortices
• estimates for solutions to the Ginzburg–Landau equation with boundary data in
• Lines vortices in the U(1) - Higgs model
• Weighted Nonlinear Potential Theory
• Weakly Differentiable Functions
• The Motion of a Surface by Its Mean Curvature. (MN-20)
• Uniform estimates for the parabolic Ginzburg–Landau equation
• On the structure of the Sobolev space H1/2 with values into the circle
• APPROXIMATIONS WITH VORTICITY BOUNDS FOR THE GINZBURG–LANDAU FUNCTIONAL
• Weighted Norm Inequalities for Fractional Integrals
• A trace inequality for generalized potentials
• BOUNDARY PROBLEMS FOR THE GINZBURG–LANDAU EQUATION
• Variational convergence for functionals of Ginzburg-Landau type
• Ginzburg-Landau vortices
• Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions

This page was built for publication: