Fast-reaction limit for Glauber-Kawasaki dynamics with two components
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Publication:5224208
zbMath1488.60229arXiv1903.09172MaRDI QIDQ5224208
Anna De Masi, Errico Presutti, Tadahisa Funaki, Maria Eulália Vares
Publication date: 19 July 2019
Full work available at URL: https://arxiv.org/abs/1903.09172
free boundary problemhydrodynamical limitrelative entropy methodsingular limit problemfast reaction limit
Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Stefan problems, phase changes, etc. (80A22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Free boundary problems for PDEs (35R35)
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Mean curvature interface limit from Glauber+Zero-range interacting particles ⋮ Hydrodynamic limit and stochastic PDEs related to interface motion ⋮ The KPP equation as a scaling limit of locally interacting Brownian particles ⋮ Spatial-segregation limit for exclusion processes with two components under unbalanced reaction ⋮ Motion by mean curvature from Glauber-Kawasaki dynamics ⋮ Motion by mean curvature from Glauber-Kawasaki dynamics with speed change
Cites Work
- Hydrodynamic limit for two-species exclusion processes
- Free boundary problem from stochastic lattice gas model
- Markov chain approximations to symmetric diffusions
- Hydrodynamic limit for exclusion processes
- Cross-diffusion systems and fast-reaction limits
- Motion by mean curvature from Glauber-Kawasaki dynamics
- Vanishing, moving and immovable interfaces in fast reaction limits
- Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions
- On estimating the derivatives of symmetric diffusions in stationary random environment, with applications to \(\nabla\varphi\) interface model
- Spatial segregation limit of a competition–diffusion system
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