Heterogeneous discrete kinetic model and its diffusion limit
DOI10.3934/krm.2021023zbMath1476.35278OpenAlexW3174597486MaRDI QIDQ2063738
Ho-Youn Kim, Hyun-Jin Lim, Yong-Jung Kim
Publication date: 3 January 2022
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/krm.2021023
random walkinhomogeneous diffusionvelocity jump processparabolic singular limitdiscrete velocity kinetic equations
Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fokker-Planck equations (35Q84) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The diffusive limit of Carleman-type models in the range of very fast diffusion equations
- Models of dispersal in biological systems
- Semigroups of linear operators and applications to partial differential equations
- Traveling periodic waves in heterogeneous environments
- A stochastic model related to the telegrapher's equation
- Diffusive limit for finite velocity Boltzmann kinetic models
- The Diffusion Limit of Transport Equations II: Chemotaxis Equations
- Transport and Anisotropic Diffusion Models for Movement in Oriented Habitats
- The diffusive limit for Carleman-type kinetic models
- Chemotactic Traveling Waves by Metric of Food
- Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the Theory
- The Diffusion Limit of Transport Equations Derived from Velocity-Jump Processes
- Model for Heterogeneous Diffusion
- Diffusion of Biological Organisms: Fickian and Fokker--Planck Type Diffusions
- Shock Structure in a Simple Discrete Velocity Gas
- ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION
This page was built for publication: Heterogeneous discrete kinetic model and its diffusion limit
