Well-posedness for mean-field evolutions arising in superconductivity
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Publication:1641893
DOI10.1016/j.anihpc.2017.11.004zbMath1393.35230arXiv1607.00268OpenAlexW2468823014MaRDI QIDQ1641893
Julian Fischer, Mitia Duerinckx
Publication date: 20 June 2018
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.00268
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Statistical mechanics of superconductors (82D55) Ginzburg-Landau equations (35Q56) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations ⋮ Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing ⋮ Mean field limits for Ginzburg-Landau vortices
Cites Work
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- Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices
- Ginzburg-Landau vortex dynamics with pinning and strong applied currents
- Vortices in the magnetic Ginzburg-Landau model
- Uniqueness of the solution to the Vlasov--Poisson system with bounded density
- Justification of the shallow-water limit for a rigid-lid flow with bottom topography
- On the hydrodynamic limit of Ginzburg-Landau vortices.
- On Kato-Ponce and fractional Leibniz
- Long-time effects of bottom topography in shallow water
- Global well-posedness for the lake equations
- Vortex pinning by inhomogeneities in type-II superconductors.
- A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators
- Global solutions to vortex density equations arising from sup-conductivity
- Vortices in Bose-Einstein condensates
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- VORTEX LIQUIDS AND THE GINZBURG–LANDAU EQUATION
- AGGREGATION AND SPREADING VIA THE NEWTONIAN POTENTIAL: THE DYNAMICS OF PATCH SOLUTIONS
- Gross--Pitaevskii Vortex Motion with Critically Scaled Inhomogeneities
- Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations
- Ginzburg-Landau vortex dynamics driven by an applied boundary current
- Fourier Analysis and Nonlinear Partial Differential Equations
- The world of the complex Ginzburg-Landau equation
- Global existence and uniqueness for the lake equations with vanishing topography: elliptic estimates for degenerate equations
- Vortex dynamics for the two dimensional non homogeneous Gross-Pitaevskii equation
- A gradient flow approach to an evolution problem arising in superconductivity
- Commutator estimates and the euler and navier-stokes equations
- Nonlinear Schrödinger evolution equations
- Existence de Nappes de Tourbillon en Dimension Deux
- Long-time shallow-water equations with a varying bottom
- The Variational Formulation of the Fokker--Planck Equation
- Existence of Weak Solutions to Some Vortex Density Models
- A mean-field model of superconducting vortices
- Hydrodynamic Limit of the Gross-Pitaevskii Equation
- Global well-posedness for models of shallow water in a basin with a varying bottom
- Exact smoothing properties of Schrodinger semigroups
- Mean-Field Limits for Some Riesz Interaction Gradient Flows
- Vortex dynamics of Ginzburg-Landau equations in inhomogeneous superconductors
