Phase transition of an anisotropic Ginzburg-Landau equation
DOI10.1007/s00526-024-02779-5zbMath1547.35647MaRDI QIDQ6574276
Publication date: 18 July 2024
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
transition layeranisotropic Ginzburg-Landau equationmodulated energy methodGinzburg-Landau-type energyOseen-Frank model
PDEs in connection with fluid mechanics (35Q35) Dynamical systems involving maps of the circle (37E10) Liquid crystals (76A15) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Blow-up in context of PDEs (35B44) Ginzburg-Landau equations (35Q56) Integro-partial differential equations (35R09) PDEs in connection with statistical mechanics (35Q82)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the motion of a curve by its binormal curvature
- Mass conserving Allen-Cahn equation and volume preserving mean curvature flow
- Global asymptotic limit of solutions of the Cahn-Hilliard equation
- Relaxation of quasiconvex functionals in \(BV(\Omega, \mathbb{R}^ N)\) for integrands \(f(x, u, \bigtriangledown u)\)
- Motion of level sets by mean curvature. I
- Asymptotic behavior for singularities of the mean curvature flow
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Hydrodynamic limits of the Boltzmann equation
- Existence and partial regularity of static liquid crystal configurations
- Compact sets in the space \(L^ p(0,T;B)\)
- Existence and partial regularity results for the heat flow for harmonic maps
- Ginzburg-Landau equation and motion by mean curvature. I: Convergence
- Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
- On Ericksen's model for liquid crystals
- A new proof of the SBV compactness theorem
- On the isotropic-nematic phase transition for the liquid crystal
- Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
- Integrality of varifolds in the singular limit of reaction-diffusion equations
- Vortex condensation in the Chern-Simons Higgs model: An existence theorem
- Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory.
- A model problem for nematic-isotropic transitions with highly disparate elastic constants
- Nematic-isotropic phase transition in liquid crystals: a variational derivation of effective geometric motions
- Concentration-cancellation in the Ericksen-Leslie model
- From microscopic theory to macroscopic theory: a systematic study on modeling for liquid crystals
- Weak-strong uniqueness for the Navier-Stokes equation for two fluids with surface tension
- On a modified conjecture of De Giorgi
- Allen-Cahn approximation of mean curvature flow in Riemannian manifolds I, uniform estimates
- An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
- A simple proof of convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
- A gradient bound and a liouville theorem for nonlinear poisson equations
- Phase transitions and generalized motion by mean curvature
- The singular limit of a vector-valued reaction-diffusion process
- On the Lawrence–Doniach and Anisotropic Ginzburg–Landau Models for Layered Superconductors
- Self-dual Chern-Simons vortices
- Multivortex solutions of the Abelian Chern-Simons-Higgs theory
- A First Course in Sobolev Spaces
- A Ginzburg--Landau-Type Problem for Highly Anisotropic Nematic Liquid Crystals
- Front Propagation and Phase Field Theory
- Geometrical Evolution of Developed Interfaces
- Schauder and LPEstimates for Parabolic systems via campanato spaces
- Regularity of a Gradient Flow Generated by the Anisotropic Landau--de Gennes Energy with a Singular Potential
- Convergence Rates of the Allen--Cahn Equation to Mean Curvature Flow: A Short Proof Based on Relative Entropies
- Dynamic cubic instability in a 2D Q-tensor model for liquid crystals
- Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
- <scp>Isotropic‐Nematic</scp> Phase Transition and Liquid Crystal Droplets
- Matrix-valued Allen-Cahn equation and the Keller-Rubinstein-Sternberg problem
Related Items (1)
This page was built for publication: Phase transition of an anisotropic Ginzburg-Landau equation