Zobrazeno 1 - 10
of 158
pro vyhledávání: '"Shvydkoy, Roman"'
Autor:
Shvydkoy, Roman, Teolis, Trevor
The $\mathrm{s}$-model, introduced in arXiv:2211.00117, is an alignment model with the property that the strength of the alignment force, $\mathrm{s}$, is transported along an averaged velocity field. Inspired by the 1D threshold regularity criterion
Externí odkaz:
http://arxiv.org/abs/2409.02409
We consider Euler flows on two-dimensional (2D) periodic domain and are interested in the stability, both linear and nonlinear, of a simple equilibrium given by the 2D Taylor-Green vortex. As the first main result, numerical evidence is provided for
Externí odkaz:
http://arxiv.org/abs/2404.17957
Autor:
Shvydkoy, Roman, Teolis, Trevor
We study a new flocking model which has the versatility to capture the physically realistic qualitative behavior of the Motsch-Tadmor model, while also retaining the entropy law, which lends to a similar 1D global well-posedness analysis to the Cucke
Externí odkaz:
http://arxiv.org/abs/2310.00269
Autor:
Shvydkoy, Roman
The generic alignment conjecture states that for almost every initial data on the torus solutions to the Cucker-Smale system under a strictly local communication rule align to the common mean velocity. In this note we present a partial resolution of
Externí odkaz:
http://arxiv.org/abs/2304.07860
Autor:
Nguyen, Vinh, Shvydkoy, Roman
In this note we study a new kinetic model of opinion dynamics. The model incorporates two forces -- alignment of opinions under all-to-all communication driving the system to a consensus, and Rayleigh type friction force that drives each `player' to
Externí odkaz:
http://arxiv.org/abs/2211.09199
Autor:
Shvydkoy, Roman
Many classical examples of models of self-organized dynamics, including the Cucker-Smale, Motsch-Tadmor, multi-species, and several others, include an alignment force that is based upon density-weighted averaging protocol. Those protocols can be view
Externí odkaz:
http://arxiv.org/abs/2211.00117
Autor:
Cheskidov, Alexey, Shvydkoy, Roman
This study introduces a new family of volumetric flatness factors which give a rigorous parametric description of the phenomenon of intermittency in fully developed turbulent flows. These quantities gather information about the most "active" part of
Externí odkaz:
http://arxiv.org/abs/2203.11060
Autor:
Shvydkoy, Roman
Publikováno v:
free to MU campus, to others for purchase.
Thesis (Ph. D.)--University of Missouri-Columbia, 2001.
Typescript. Vita. Includes bibliographical references (leaves 184-196). Also available on the Internet.
Typescript. Vita. Includes bibliographical references (leaves 184-196). Also available on the Internet.
Externí odkaz:
http://wwwlib.umi.com/cr/mo/fullcit?p3036855
Autor:
Nguyen, Vinh, Shvydkoy, Roman
In this work we study propagation of chaos for solutions of the Liouville equation for the classical discrete Cucker-Smale system. Assuming that the communication kernel satisfies the heavy tail condition -- known to be necessary to induce exponentia
Externí odkaz:
http://arxiv.org/abs/2112.04437