Материалы международной научной конференции «Уфимская осенняя математическая школа» (г. Уфа, 6-9 октября 2021 г.). Том 2 / отв. редактор З.Ю. Фазуллин. - Уфа: РИЦ БашГУ, 2021. - 272 с.
On the different size of the white noise perturbation in the problem on the inviscid limit of the stationary measure for one model of the atmosphere
Kletsova Y.
It was obtained the sufficient conditions on the right-hand side and the parameters of the Lorenz model for a baroclinic
atmosphere with white noise perturbation for
the existence a limiting point for any sequence of the stationary measures for this system
when any sequence of the kinematic viscosity coefficients goes to zero. We consider white noise perturbation proportional to the kinematic viscosity in different degrees.
A similar result was obtained
for the equation of a barotropic atmosphere and the two-dimensional Navier-Stokes equation.
On the different size of the white noise perturbation in the problem on the inviscid limit of the stationary measure for one model of the atmosphere
It was obtained the sufficient conditions on the right-hand side and the parameters of the Lorenz model for a baroclinic
atmosphere with white noise perturbation for
the existence a limiting point for any sequence of the stationary measures for this system
when any sequence of the kinematic viscosity coefficients goes to zero. We consider white noise perturbation proportional to the kinematic viscosity in different degrees.
A similar result was obtained
for the equation of a barotropic atmosphere and the two-dimensional Navier-Stokes equation.