Well posedness and maximum entropy approximation for the dynamics of quantitative traits

DOI10.1016/j.physd.2017.10.015zbMath1398.35245arXiv1704.08757OpenAlexW2611023265MaRDI QIDQ1990080

Jan Haskovec, Peter Alexander Markowich, Katarína Bod'ová

Publication date: 24 October 2018

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.08757

zbMATH Keywords

Fokker-Planck equationboundary conditionquantitative traitsquasi-stationary approximationdynamic maximum entropy

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Genetics and epigenetics (92D10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84)

Related Items (1)

Introduction to special issue: ``Nonlinear partial differential equations in mathematical fluid dynamics

Cites Work

• Unnamed Item
• The dynamics of a genetic algorithm for simple random Ising systems
• Semigroups of linear operators and applications to partial differential equations
• The Fokker-Planck equation. Methods of solution and applications.
• Cumulant dynamics of a population under multiplicative selection, mutation, and drift.
• From discrete to continuous evolution models: a unifying approach to drift-diffusion and replicator dynamics
• Downscaling the 2D Bénard convection equations using continuous data assimilation
• Continuous data assimilation for a 2D Bénard convection system through horizontal velocity measurements alone
• A non-standard evolution problem arising in population genetics
• A practical difference scheme for Fokker-Planck equations
• Two singular diffusion problems
• ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
• Continuous data assimilation for the three-dimensional Brinkman–Forchheimer-extended Darcy model
• Continuous data assimilation for the three-dimensional Navier–Stokes-α model
• Semi-Stable Stochastic Processes
• A Computational Study of a Data Assimilation Algorithm for the Two-dimensional Navier-Stokes Equations
• SOLUTION OF A PROCESS OF RANDOM GENETIC DRIFT WITH A CONTINUOUS MODEL

This page was built for publication: Well posedness and maximum entropy approximation for the dynamics of quantitative traits