Zobrazeno 1 - 10
of 743
pro vyhledávání: '"P. Rybalko"'
We consider a continuum active polar fluid model for the spreading of epithelial monolayers introduced by R. Alert, C. Blanch-Mercader, and J. Casademunt, 2019. The corresponding free boundary problem possesses flat front traveling wave solutions. Li
Externí odkaz:
http://arxiv.org/abs/2311.03102
On the well-posedness of the Cauchy problem for the two-component peakon system in $C^k\cap W^{k,1}$
Autor:
Karlsen, Kenneth H., Rybalko, Yan
This study focuses on the Cauchy problem associated with the two-component peakon system featuring a cubic nonlinearity, constrained to the class $(m,n)\in C^{k}(\mathbb{R}) \cap W^{k,1}(\mathbb{R})$ with $k\in\mathbb{N}\cup\{0\}$.This system extends
Externí odkaz:
http://arxiv.org/abs/2402.04723
Autor:
Piatnitski, Andrey, Rybalko, Volodymyr
We study asymptotic behavior of the bottom point of the spectrum of convolution type operators in environments with locally periodic microstructure. We show that its limit is described by an additive eigenvalue problem for Hamilton-Jacobi equation. I
Externí odkaz:
http://arxiv.org/abs/2401.16576
This work is devoted to the problem of synchronization of two Morris-Lecar neuron models. The Morris-Lecar model is a second-order system of differential equations, which describes an uneasy relationship between the membrane potential and the activat
Externí odkaz:
http://arxiv.org/abs/2311.06955
Autor:
A. S. Rybalko, S. N. Galkina, A. S. Saryglar, A. V. Voronin, M. I. Rezyapova, N. I. Chaus, S. N. Perekhodov, N. A. Karpun
Publikováno v:
Общая реаниматология, Vol 20, Iss 4, Pp 30-38 (2024)
The aim of the study was to assess the effect of hemoadsorption with CytoSorb on the inflammatory response, respiratory failure, and mortality in patients with severe novel coronavirus infection.Materials and methods. A retrospective single-center
Externí odkaz:
https://doaj.org/article/0a133451f0d241b3b5be81405c85ee3d
Autor:
Rybalko, Yan
This paper deals with the embedding of the Sobolev spaces of fractional order into the space of H\"older continuous functions. More precisely, we show that the function $f\in H^s(\mathbb{R})$ with $\frac{1}{2}
Externí odkaz:
http://arxiv.org/abs/2308.06048
Autor:
Karlsen, Kenneth, Rybalko, Yan
We investigate the Cauchy problem for a nonlocal (two-place) FORQ equation. By interpreting this equation as a special case of a two-component peakon system (exhibiting a cubic nonlinearity), we convert the Cauchy problem into a system of ordinary di
Externí odkaz:
http://arxiv.org/abs/2305.14850
Publikováno v:
Гірничі, будівельні, дорожні та меліоративні машини, Iss 103 (2024)
В роботі проведено аналіз зносу різців та виявлено, що більшість з них придатна для використання, так як форма твердосплавного наконечн
Externí odkaz:
https://doaj.org/article/2fcd9794679d48a6a864272d0241e3b6
Autor:
Rybalko, Yan, Shepelsky, Dmitry
We consider the Cauchy problem for the integrable nonlocal nonlinear Schr\"odinger (NNLS) equation $ \I\partial_t q(x,t)+\partial_{x}^2q(x,t)+2\sigma q^{2}(x,t)\overline{q(-x,t)}=0 $ with initial data $q(x,0)\in H^{1,1}(\mathbb{R})$. It is known that
Externí odkaz:
http://arxiv.org/abs/2209.11261
The work concerns the multiscale modeling of a nerve fascicle of myelinated axons. We present a rigorous derivation of a macroscopic bidomain model describing the behavior of the electric potential in the fascicle based on the FitzHugh-Nagumo membran
Externí odkaz:
http://arxiv.org/abs/2206.04368