Work

Ergodicity for a Constantin-Lax-Majda-DeGregorio model of turbulent flow at large viscosity

Year: 2026

Type: article

Abstract: This paper presents a mathematical analysis of a stochastic generalized Constantin-Lax-Majda-DeGregorio (gCLMG) equation. We focus on the specific case where the nonlinearity in the equation allows an inviscid conserved quantity, i.e., the squared norm of model vorticity. The existence of an invariant measure is proved via the classical Krylov-Bogoliubov argument. The uniqueness of the measure and exponential mixing are proved under a sufficiently large viscosity condition, in which the nonlocal structure of the nonlinear term becomes manifest.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2026.131143

Authors: Shunsuke Fujita, Reika Fukuizumi, Takashi Sakajo

Institutions: Waseda University, Kyoto University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Japan Society for the Promotion of Science