Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Turanova, Olga"'
In this article, we apply the viscosity solutions theory for integro-differential equations to the \emph{one-phase} Muskat equation (also known as the Hele-Shaw problem with gravity). We prove global well-posedness for the corresponding Hamilton-Jaco
Externí odkaz:
http://arxiv.org/abs/2404.10972
Motivated by recent work on approximation of diffusion equations by deterministic interacting particle systems, we develop a nonlocal approximation for a range of linear and nonlinear diffusion equations and prove convergence of the method in the slo
Externí odkaz:
http://arxiv.org/abs/2312.11438
We consider the traveling wave speed for Fisher-KPP (FKPP) fronts under the influence of repulsive chemotaxis and provide an almost complete picture of its asymptotic dependence on parameters representing the strength and length-scale of chemotaxis.
Externí odkaz:
http://arxiv.org/abs/2210.10067
As a counterpoint to classical stochastic particle methods for linear diffusion equations, we develop a deterministic particle method for the weighted porous medium equation (WPME) and prove its convergence on bounded time intervals. This generalizes
Externí odkaz:
http://arxiv.org/abs/2202.12927
Publikováno v:
In Journal of Functional Analysis 15 November 2023 285(10)
Autor:
Anderson, Brendon G., Loeser, Eva, Gee, Marissa, Ren, Fei, Biswas, Swagata, Turanova, Olga, Haberland, Matt, Bertozzi, Andrea L.
In the field of swarm robotics, the design and implementation of spatial density control laws has received much attention, with less emphasis being placed on performance evaluation. This work fills that gap by introducing an error metric that provide
Externí odkaz:
http://arxiv.org/abs/1905.07655
We investigate the super-linear spreading in a reaction-diffusion model analogous to the Fisher-KPP equation, but in which the population is heterogeneous with respect to the dispersal ability of individuals, and the saturation factor is non-local wi
Externí odkaz:
http://arxiv.org/abs/1810.07634
Autor:
Anderson, Brendon G., Loeser, Eva, Gee, Marissa, Ren, Fei, Biswas, Swagata, Turanova, Olga, Haberland, Matt, Bertozzi, Andrea L.
Publikováno v:
Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics (ICINCO)---Volume 2, 2018, pp. 91--101
This paper studies a generally applicable, sensitive, and intuitive error metric for the assessment of robotic swarm density controller performance. Inspired by vortex blob numerical methods, it overcomes the shortcomings of a common strategy based o
Externí odkaz:
http://arxiv.org/abs/1806.02488
Autor:
Kim, Inwon, Turanova, Olga
We study a model introduced by Perthame and Vauchelet that describes the growth of a tumor governed by Brinkman's Law, which takes into account friction between the tumor cells. We adopt the viscosity solution approach to establish an optimal uniform
Externí odkaz:
http://arxiv.org/abs/1704.06281
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