Zobrazeno 1 - 10
of 961
pro vyhledávání: '"Kuksin AN"'
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:
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
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
Autor:
Kuksin, Artem V., Gerasimenko, Aleksander Yur'evich, Shaman, Yury P., Shamanaev, Artemiy A., Sysa, Artem Vladimirovich, Glukhova, Olga Evgen'evna
Publikováno v:
Известия Саратовского университета. Новая серия Серия: Физика, Vol 23, Iss 4, Pp 307-315 (2023)
Background and Objectives: An urgent task of field emission electronics is to reduce the operating voltage in order to obtain an emission current of a given density. To solve this problem, an emitter with a low work function is needed. Carbon nanomat
Externí odkaz:
https://doaj.org/article/ed78db0ed1364822bde2f85940504a2b
Autor:
Maria Kuksin, Valeska Bidault Jourdainne, Guillaume Rossignol, Philippe Aegerter, Géraldine Hery, Jean-Paul Teglas, Virginie Fouquet, Sophie Branchereau, Florent Guérin
Publikováno v:
Children, Vol 11, Iss 10, p 1248 (2024)
Background/Objectives: In paediatric liver transplantation, donor–recipient compatibility depends on graft size. We explored whether the graft weight can be predicted using the donor’s biometric parameters. Methods: We used seven easily available
Externí odkaz:
https://doaj.org/article/d60b40456ad241cd8615bb9adfc3fa38
In his paper from 1996 on quadratic forms Heath-Brown developed a version of the circle method to count points in the intersection of an unbounded quadric with a lattice of short period, if each point is given a weight, and approximated this quantity
Externí odkaz:
http://arxiv.org/abs/2110.13873
Publikováno v:
{\sl Theory Probab. Appl.}, {\bf 47}(1), (2003), 157-164
This paper considers second-order stochastic partial differential equations with additive noise given in a bounded domain of $\mathbb R^n$. We suppose that the coefficients of the noise are $L^p$-functions with sufficiently large $p$. We prove that t
Externí odkaz:
http://arxiv.org/abs/2110.00951