Zobrazeno 1 - 10
of 204
pro vyhledávání: '"Hausenblas, Erika"'
Chemical and biochemical reactions can exhibit a wide range of complex behaviors, including multiple steady states, oscillatory patterns, and chaotic dynamics. These phenomena have captivated researchers for many decades. Notable examples of oscillat
Externí odkaz:
http://arxiv.org/abs/2403.03632
The purpose of the paper is twofold. Firstly, we want to present a Meta Theorem to show the existence of a martingale solution for coupled systems of non-linear stochastic differential equations. The idea is first to split the system by rewriting the
Externí odkaz:
http://arxiv.org/abs/2401.17668
This article shows a stochastic version of the Schauder-Tychonoff fixed-point theoren and yields a stochastically weak solution to a large class of systems of nonlinear reaction-diffusion type equations driven by a cylindrical Wiener process and a Po
Externí odkaz:
http://arxiv.org/abs/2312.00927
In this article, we study a mathematical system which models the dynamic of the collective behaviour of oxygen-driven swimming bacteria in an aquatic fluid flowing in a two dimensional bounded domain under stochastic perturbation. This model can be s
Externí odkaz:
http://arxiv.org/abs/2301.00654
In this article, we study the controllability issues of the Landau-Lifshitz-Gilbert Equations (LLGEs), accompanied with non-zero exchange energy only, in an interval in one spatial dimension with Neumann boundary conditions. The paper is of twofold.
Externí odkaz:
http://arxiv.org/abs/2211.04204
In a recent paper (J. Differential Equations, 310: 506-554, 2022), the authors proved the existence of martingale solutions to a stochastic version of the classical Patlak-Keller-Segel system in 1 dimension (1D), driven by time-homogeneous spatial Wi
Externí odkaz:
http://arxiv.org/abs/2209.13188
In this paper, we study the classical Keller - Segel system on a two-dimensional domain perturbed by a pair of Wiener processes, where the leading diffusion term is replaced by a porous media term. Since the randomness is intrinsic, the interpretatio
Externí odkaz:
http://arxiv.org/abs/2209.12424
Publikováno v:
In Stochastic Processes and their Applications April 2024 170
The Gierer-Meinhardt system occurs in morphogenesis, where the development of an organism from a single cell is modelled. One of the steps in the development, is the formation of spatial patterns of the cell structure, starting from an almost homogen
Externí odkaz:
http://arxiv.org/abs/2103.05400
Autor:
Hausenblas, Erika, Kovács, Mihály
We investigate the quality of space approximation of a class of stochastic integral equations of convolution type with Gaussian noise. Such equations arise, for example, when considering mild solutions of stochastic fractional order partial different
Externí odkaz:
http://arxiv.org/abs/2102.07434