Convergence to stationary measures in nonlinear Fokker-Planck-Kolmogorov equations
This work reports investigation of the convergence of the non-linear Fokker-Plank-Kolmogorov equation, where the non-linearity is included into the drift term, to its stationary solution defined as a probability measure. The key assumption of the considered problem is that the non-linear term is a small addition to the coefficient-dependent linear one. It is realized by introducing a small multiplicative factor $\varepsilon$. Thus, the convergence of the Cauchy problem to the stationary solution is defined for sufficiently small $\varepsilon$.
scientific article; zbMATH DE number 7002193
scientific article