Asymptotic behavior of spreading fronts in the anisotropic Allen–Cahn equation on \( R^{n} \)-Reference-Cited by-同舟云学术

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Asymptotic behavior of spreading fronts in the anisotropic Allen–Cahn equation on \( R^{n} \)

Published:2019-06 Issue:3 Volume:36 Page:585-626
ISSN:0294-1449
Container-title:Annales de l'Institut Henri Poincaré C, Analyse non linéaire
language:
Short-container-title:Ann. Inst. H. Poincaré Anal. Non Linéaire

Author:

Matano Hiroshi¹,Mori Yoichiro²,Nara Mitsunori³

Affiliation:

1. Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, 4-21-1 Nakano, Tokyo, 164-8525, Japan

2. School of Mathematics, University of Minnesota, 206 Church Street, Minneapolis MN, 55455, USA

3. Faculty of Science and Engineering, Iwate University, Ueda 3-18-34, Morioka, Iwate, 020-8550, Japan

Funder

National Science Foundation

Japan Society for the Promotion of Science

Publisher

European Mathematical Society - EMS - Publishing House GmbH

Subject

Mathematical Physics,Analysis,Applied Mathematics

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stability of Front Solutions of the Bidomain Allen–Cahn Equation on an Infinite Strip;SIAM Journal on Mathematical Analysis;2023-05-24

2. Asymptotic behavior of spreading fronts in an anisotropic multi-stable equation on $ \mathit{\boldsymbol{\mathbb{R}^N}} $;Discrete and Continuous Dynamical Systems;2022

3. Large time behavior of the solutions with spreading fronts in the Allen-Cahn equations on $ \mathbb R^n $;Communications on Pure and Applied Analysis;2022

4. Curvature-driven front propagation through planar lattices in oblique directions;Communications on Pure and Applied Analysis;2022

5. Dynamics of curved travelling fronts for the discrete Allen-Cahn equation on a two-dimensional lattice;Discrete & Continuous Dynamical Systems;2021

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