Interacting particle systems and generalized evolution of fronts
From MaRDI portal
Publication:1337973
DOI10.1007/BF00377658zbMath0808.76002OpenAlexW2084794399WikidataQ60149158 ScholiaQ60149158MaRDI QIDQ1337973
Panagiotis E. Souganidis, Markos A. Katsoulakis
Publication date: 15 March 1995
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00377658
Phase transitions (general) in equilibrium statistical mechanics (82B26) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Foundations of fluid mechanics (76A02) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)
Related Items
Almost periodic traveling waves of nonlocal evolution equations, A new approach to variational problems with multiple scales, A Quantization Property for Moving Line Vortices, Homogenization of the Allen-Cahn equation with periodic mobility, Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor, Mean curvature interface limit from Glauber+Zero-range interacting particles, On large deviations of interface motions for statistical mechanics models, Hydrodynamic limit and stochastic PDEs related to interface motion, Hydrodynamical limits and geometric measure theory: mean curvature limits from a threshold voter model, Crystalline motion of interfaces between patterns, Mean curvature, threshold dynamics, and phase field theory on finite graphs, Singular limit for stochastic reaction-diffusion equation and generation of random interfaces, Stochastic Ising models and anisotropic front propagation, Homoclinic solutions to an integral equation: Existence and stability, Motion by mean curvature from Glauber-Kawasaki dynamics, On three-phase boundary motion and the singular limit of a vector-valued Ginzburg-Landau equation, Motion by mean curvature from Glauber-Kawasaki dynamics with speed change
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiphase thermomechanics with interfacial structure. I: Heat conduction and the capillary balance law
- Motion of level sets by mean curvature. I
- Reaction-diffusion equations for interacting particle systems
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics
- Generation and propagation of interfaces for reaction-diffusion equations
- Mathematical methods for hydrodynamic limits
- Motion of a set by the curvature of its boundary
- Ginzburg-Landau equation and motion by mean curvature. II: Development of the initial interface
- Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
- Front propagation for reaction-diffusion equations of bistable type
- Generalized motion by mean curvature as a macroscopic limit of stochastic Ising models with long range interactions and Glauber dynamics
- Generalized motion by mean curvature with Neumann conditions and the Allen-Cahn model for phase transitions
- Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor
- Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness
- Fast Reaction, Slow Diffusion, and Curve Shortening
- Viscosity Solutions of Hamilton-Jacobi Equations
- User’s guide to viscosity solutions of second order partial differential equations
- Phase transitions and generalized motion by mean curvature
- The Motion of a Surface by Its Mean Curvature. (MN-20)
- Front Propagation and Phase Field Theory
- Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
