Zobrazeno 1 - 10
of 26 561
pro vyhledávání: '"Front propagation"'
Over the past several decades, phase field modeling has been established as a standard simulation technique for mesoscopic science, allowing for seamless boundary tracking of moving interfaces and relatively easy coupling to other physical phenomena.
Externí odkaz:
http://arxiv.org/abs/2412.17972
Autor:
Kim, Junseok1 (AUTHOR) cfdkim@korea.ac.kr
Publikováno v:
Mathematics (2227-7390). Dec2024, Vol. 12 Issue 23, p3796. 16p.
Autor:
Hughes, Thomas, Lin, Jessica
We present a general framework which can be used to prove that, in an annealed sense, rescaled spatial stochastic population models converge to generalized propagating fronts. Our work is motivated by recent results of Etheridge, Freeman, and Peningt
Externí odkaz:
http://arxiv.org/abs/2408.02817
Given the recent increase in wildfires, developing a better understanding of their dynamics is crucial. For this purpose, the advection-diffusion-reaction model has been widely used to study wildfire dynamics. In this study, we introduce the previous
Externí odkaz:
http://arxiv.org/abs/2410.02837
Autor:
Griette, Quentin, Matano, Hiroshi
We consider a two-species reaction-diffusion system in one space dimension that is derived from an epidemiological model in a spatially periodic environment with two types of pathogens: the wild type and the mutant. The system is of a hybrid nature,
Externí odkaz:
http://arxiv.org/abs/2408.07501
Autor:
Shuai Zhao1,2,3 zs77816@163.com, Chun-Yun Xu1, Wan-Fen Pu1, Qing-Yuan Chen1, Cheng-Dong Yuan3,4, Varfolomeev, Mikhail A.3, Sudakov, Vladislav5
Publikováno v:
Petroleum Science (KeAi Communications Co.). Oct2024, Vol. 21 Issue 5, p3379-3389. 11p.
Autor:
Viaña, Javier
This paper introduces the front-propagation algorithm, a novel eXplainable AI (XAI) technique designed to elucidate the decision-making logic of deep neural networks. Unlike other popular explainability algorithms such as Integrated Gradients or Shap
Externí odkaz:
http://arxiv.org/abs/2405.16259
Autor:
Patrizi, Stefania, Vaughan, Mary
We prove that the mean curvature of a smooth surface in $\mathbb{R}^n$, $n\geq 2$, arises as the limit of a sequence of functions that are intrinsically related to the difference between an $n$- and $1$-dimensional fractional Laplacian of a phase tra
Externí odkaz:
http://arxiv.org/abs/2406.14788
We consider a bistable reaction-diffusion equation $u_t=\Delta u +f(u)$ on $\mathbb{R}^N$ in the presence of an obstacle $K$, which is a wall of infinite span with many holes. More precisely, $K$ is a closed subset of $\mathbb{R}^N$ with smooth bound
Externí odkaz:
http://arxiv.org/abs/2406.04688
Autor:
Sun, Yuanyang1 (AUTHOR) syy19102826702@sina.com, Jian, Huanyan2 (AUTHOR) uestc_hyjian@sina.com, Xiong, Ping1 (AUTHOR) 0120240026@xhu.edu.cn, Zhou, Linglan1 (AUTHOR)
Publikováno v:
Energies (19961073). Oct2024, Vol. 17 Issue 20, p5236. 16p.