MULTI-DIMENSIONAL TRAVELING FRONTS IN BISTABLE REACTION-DIFFUSION EQUATIONS

Masaharu Taniguchi

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MULTI-DIMENSIONAL TRAVELING FRONTS IN BISTABLE REACTION-DIFFUSION EQUATIONS

机译：双稳态反应扩散方程的多维旅行前沿

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This paper studies traveling front solutions of convex polyhedral shapes in bistable reaction-diffusion equations including the Allen-Cahn equations or the Nagumo equations. By taking the limits of such solutions as the lateral faces go to infinity, we construct a three-dimensional traveling front solution for any given g ∈ C~∞(S~1) with min_(0≤θ≤2π) g(θ) = 0.

机译：本文研究了包括Allen-Cahn方程或Nagumo方程在内的双稳态反应扩散方程中凸多面体的行进前沿解。通过考虑侧面趋于无穷大的此类解的极限，我们针对任何给定的g∈C〜∞（S〜1）且min_（0≤θ≤2π）g（θ）构造了三维行进前解= 0。

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来源
《Discrete and continuous dynamical systems》 |2012年第3期|p.1011-1046|共36页
作者
Masaharu Taniguchi;
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作者单位

Department of Mathematical and Computing Sciences Tokyo Institute of Technology O-okayama 2-12-1-W8-38, Tokyo 152-8552, Japan;

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正文语种 eng
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关键词
traveling wave; allen-cahn equation; multi-dimensional wave;

机译：行波艾伦卡恩方程多维波;

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1. MONOSTABLE-TYPE TRAVELING WAVES OF BISTABLE REACTION-DIFFUSION EQUATIONS IN THE MULTI-DIMENSIONAL SPACE [J] . YOSHIHISA MORITA, HIROKAZU NINOMIYA Bulletin of the Institute of Mathematics, Academia Sinica . 2008,第4期

机译：多维空间中双稳态反应扩散方程的单稳态行波
2. Axially asymmetric traveling fronts in balanced bistable reaction-diffusion equations [J] . Taniguchi Masaharu Annales de l'Institut Henri Poincare. Analye non lineaire . 2019,第7期

机译：平衡双稳态反应扩散方程轴向不对称的行进前沿
3. MULTIDIMENSIONAL STABILITY OF TIME-PERIODIC PLANAR TRAVELING FRONTS IN BISTABLE REACTION-DIFFUSION EQUATIONS [J] . Wei-Jie Sheng, Wan-Tong Li Discrete and continuous dynamical systems . 2017,第5期

机译：双稳态反应扩散方程的时空平面运动前部的多维稳定性
4. Existence of traveling wave solutions of a kind of reaction-diffusion equations with delays [C] . Yang Zhiguo International Conference on Advanced Computational Intelligence . 2013

机译：一类时滞反应扩散方程的行波解的存在性
5. Fronts and patterns in reaction-diffusion equations. [D] . Hagberg, Aric Arild. 1994

机译：反应扩散方程中的前沿和模式。
6. Traveling and Pinned Fronts in Bistable Reaction-Diffusion Systems on Networks [O] . Nikos E. Kouvaris, Hiroshi Kori, Alexander S. Mikhailov -1

机译：在网络中流和牵制战线在双稳反应扩散方程
7. Interaction of Traveling Curved Fronts in Bistable Reaction-Diffusion Equations in R2 [O] . Nai-Wei Liu 2017

机译：R2在双稳态反应扩散方程中行进弯曲前沿的相互作用
8. The Asymptotic Behavior of a Free Boundary Arising from a Bistable Reaction-Diffusion Equation [R] . Terman, D. 1981

机译：双稳态反应扩散方程自由边界的渐近行为

MULTI-DIMENSIONAL TRAVELING FRONTS IN BISTABLE REACTION-DIFFUSION EQUATIONS

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