Zobrazeno 1 - 10
of 91
pro vyhledávání: '"Xie, Shuangquan"'
In this study, we provide a detailed analysis of the spike solutions and their stability for theGierer-Meinhardt model on discrete lattices. We explore several phenomena that have no analogues in the continuum limit. For example in the discrete case,
Externí odkaz:
http://arxiv.org/abs/2410.05692
We investigate the location of the maximal gradient of the torsion function on some non-symmetric planar domains. First, for triangles, by reflection method, we show that the maximal gradient of the torsion function always occurs on the longest sides
Externí odkaz:
http://arxiv.org/abs/2406.04790
Autor:
Tzou, Justin. C., Xie, Shuangquan
For a bounded 2-D planar domain $\Omega$, we investigate the impact of domain geometry on oscillatory translational instabilities of $N$-spot equilibrium solutions for a singularly perturbed Schnakenberg reaction-diffusion system with $\mO(\eps^2) \l
Externí odkaz:
http://arxiv.org/abs/2207.00803
Autor:
Nishiura, Yasumasa, Xie, Shuangquan
In two-dimensional space, we investigate the slow dynamics of multiple localized spots with oscillatory tails in a specific three-component reaction-diffusion system, whose key feature is that the spots attract or repel each other alternatively accor
Externí odkaz:
http://arxiv.org/abs/2204.02740
Autor:
Xie, Shuangquan, Gu, Jierong, Jia, Guang, Liu, Zijun, Gu, Chenjie, Gao, Yixiao, Zheng, Wenfeng, Liu, Ziqiang, Xu, Tiefeng, Shen, Xiang, Chen, Yimin
Publikováno v:
In Infrared Physics and Technology August 2024 140
In this paper, we introduce a three-component Schnakenberg model. Its key feature is that it has a solution consisting of N spikes that undergoes a Hopf bifurcation with respect to N distinct modes nearly simultaneously. This results in complex oscil
Externí odkaz:
http://arxiv.org/abs/2006.04801
Autor:
Wang, Fei, Lu, Tianxin, Zhu, Liping, Cao, Aiping, Xie, Shuangquan, Chen, Xifeng, Shen, Haitao, Xie, Quanliang, Li, Rong, Zhu, Jianbo, Jin, Xiang, Li, Hongbin
Publikováno v:
In Journal of Plant Physiology January 2023 280
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Akademický článek
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We consider vortex dynamics in the context of Bose-Einstein Condensates (BEC) with a rotating trap, with or without anisotropy. Starting with the Gross-Pitaevskii (GP) partial differential equation (PDE), we derive a novel reduced system of ordinary
Externí odkaz:
http://arxiv.org/abs/1708.04336