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pro vyhledávání: '"Kuksin AN"'
Autor:
Ferrario, Benedetta
Publikováno v:
In Journal of Differential Equations 5 January 2023 342:1-20
Autor:
Benedetta Ferrario
Publikováno v:
Journal of Differential Equations. 342:1-20
Autor:
Kuksin, Sergei
This work is a review with proofs of a group of results on the stochastic Burgers equation with small viscosity, obtained during the last two decades. These results jointly show that the equation makes a surprisingly good model of hydrodynamical turb
Externí odkaz:
http://arxiv.org/abs/2310.10105
We are concerned with averaging theorems for $\epsilon$-small stochastic perturbations of integrable equations in $\mathbb{R}^d \times \mathbb{T}^n =\{(I,\varphi)\}$ $$ \dot I(t) =0,\quad \dot \varphi(t) = \theta(I), \qquad (1)$$ and in $\mathbb{R}^{
Externí odkaz:
http://arxiv.org/abs/2307.07040
Autor:
Gao, Peng, Kuksin, Sergei
For solutions of the space-periodic stochastic 1d Burgers equation we establish two versions of the Kolmogorov 4/5-law which provides an asymptotic expansion for the third moment of increments of turbulent velocity fields. We also prove for this equa
Externí odkaz:
http://arxiv.org/abs/2209.14288
Autor:
Huang, Guan, Kuksin, Sergei
We study stochastic perturbations of linear systems of the form $$ dv(t)+Av(t)dt = \epsilon P(v(t))dt+\sqrt{\epsilon}B(v(t)) dW (t), v\in\mathbb{R}^{D}, (*) $$ where $A$ is a linear operator with non-zero imaginary spectrum. It is assumed that the ve
Externí odkaz:
http://arxiv.org/abs/2206.00605
Autor:
Gkioulekas, Eleftherios
Publikováno v:
SIAM Review, 2014 Sep 01. 56(3), 561-565.
Externí odkaz:
https://www.jstor.org/stable/24248485
Autor:
Huang, Guan, Kuksin, Sergei
We examine the convergence in the Krylov--Bogolyubov averaging for nonlinear stochastic perturbations of linear PDEs with pure imaginary spectrum and show that if the involved effective equation is mixing, then the convergence is uniform in time.
Externí odkaz:
http://arxiv.org/abs/2203.15622
Akademický článek
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Autor:
Kernbach, Serge, Kernbach, Olga, Kuksin, Igor, Kernbach, Andreas, Nepomnyashchiy, Yury, Dochow, Timo, Bobrov, Andrew
Publikováno v:
Environmental Research, 2022
The zymase activity of the yeast Saccharomyces Cerevisiae is sensitive to environmental parameters and is therefore used as a microbiological sensor for water quality assessment, ecotoxicological characterization or environmental monitoring. Comparin
Externí odkaz:
http://arxiv.org/abs/2202.07795