Inspired by the modeling of grain growth in polycrystalline materials, we consider a
nonlinear Fokker–Plank model, with inhomogeneous diffusion and with variable mobility …

In this paper, we study the asymptotic behavior of a class of nonlinear Fokker-Planck type
equations in a bounded domain with periodic boundary conditions. The system is motivated …

When a Hamiltonian system undergoes a stochastic, time-dependent anharmonic
perturbation, the values of its adiabatic invariants as a function of time follow a distribution …

Noise or fluctuations play an important role in the modeling and understanding of the
behavior of various complex systems in nature. Fokker–Planck equations are powerful …

Selection upon intrinsic fitness differences is one of the most basic mechanisms of evolution,
fundamental to all biology. Equally, within macroscopic populations and microscopic …

Human motion is inherently complex. Even an ordinary task like lifting a glass of water
involves many degrees of freedom ie, different muscle groups, multiple joints and an infinite …

Evolution underpins the survival of a population under environmental pressure. Resistance
to treatment commonly arises as a result of such evolution. We analytically examine the …

The hard open problem of finding the lower bound for the Fokker Planck Kolmogorov's time-
dependent controller parameter probability density function is addressed for the first time in …

We study a chemical kinetic system with uncertainty modeling a gene regulatory network in
biology. Specifically, we consider a system of two equations for the messenger RNA and …