Uniform convergence of proliferating particles to the FKPP equation
From MaRDI portal
Publication:1733769
DOI10.1016/j.jmaa.2018.12.013zbMath1433.60089arXiv1604.03055OpenAlexW2963689717MaRDI QIDQ1733769
Christian Olivera, Matti Leimbach, Franco Flandoli
Publication date: 21 March 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.03055
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items (13)
Coagulation dynamics under environmental noise: scaling limit to SPDE ⋮ Quantitative particle approximation of nonlinear Fokker-Planck equations with singular kernel ⋮ Scaling limit of moderately interacting particle systems with singular interaction and environmental noise ⋮ Scaling limit for a second-order particle system with local annihilation ⋮ Recent progress on limit theorems for large stochastic particle systems ⋮ Looking forwards and backwards: dynamics and genealogies of locally regulated populations ⋮ Quantitative Propagation of Chaos in a Bimolecular Chemical Reaction-Diffusion Model ⋮ Uniform approximation of 2D Navier-Stokes equations with vorticity creation by stochastic interacting particle systems ⋮ The mathematical modeling of cancer growth and angiogenesis by an individual based interacting system ⋮ Uniform Approximation of 2 Dimensional Navier--Stokes Equation by Stochastic Interacting Particle Systems ⋮ The KPP equation as a scaling limit of locally interacting Brownian particles ⋮ A law of large numbers for interacting diffusions via a mild formulation ⋮ A particle system approach to aggregation phenomena
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mean field limit with proliferation
- Interacting diffusions approximating the porous medium equation and propagation of chaos
- Semigroups of linear operators and applications to partial differential equations
- Reaction-diffusion equations for interacting particle systems
- A propagation of chaos result for a system of particles with moderate interaction
- Limit laws for a coagulation model of interacting random particles
- On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes
- Martingale and stationary solutions for stochastic Navier-Stokes equations
- Existence of a martingale solution of the stochastic Navier-Stokes equations in unbounded 2D and 3D domains
- Scaling limits for interacting diffusions
- Invasion and adaptive evolution for individual-based spatially structured populations
- Convergence rate of the Sherman and Peskin branching stochastic particle method
- A law of large numbers for moderately interacting diffusion processes
- Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
- The Derivation of Chemotaxis Equations as Limit Dynamics of Moderately Interacting Stochastic Many-Particle Systems
- Stochastic Models for Structured Populations
- Derivation of macroscopic equations for individual cell‐based models: a formal approach
- Pressure in classical statistical mechanics and interacting Brownian particles in multi-dimensions
- Stochastic Equations in Infinite Dimensions
This page was built for publication: Uniform convergence of proliferating particles to the FKPP equation