On the effects of a wide opening in the domain of the (stochastic) Allen-Cahn equation and the motion of hybrid zones-Reference-Cited by-同舟云学术

On the effects of a wide opening in the domain of the (stochastic) Allen-Cahn equation and the motion of hybrid zones

Published:2022-01-01 Issue:none Volume:27 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Etheridge Alison M.¹,Gooding Mitchel D.¹,Letter Ian²

Affiliation:

1. University of Oxford, United Kindgom

2. University of Oxford, United Kindgom restucci@stats.ox.ac.uk

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference24 articles.

1. M. Alfaro, H. Hilhorst, and H. Matano. “The singular limit of the Allen–Cahn equation and the FitzHugh–Nagumo system”. In: J. Differ. Equ. 245.2 (1964), pp. 505–565.

2. M. Alfaro, D. Antonopoulou, G. Karali, and H. Matano. “Generation of fine transition layers and their dynamics for the stochastic Allen-Cahn equation”. 2018. URL: arXiv:1812.03804v3.

3. H. Berestycki, J. Bouhours, and G. Chapuisat. “Front blocking and propagation in cylinders with varying cross section”. In: Cacl. Var. Partial Dif. 55.3 (2016), p. 44. DOI: 10.1007/s00526-016-0962-2.

4. R. F. Bass and P. Hsu. “Some potential theory for reflecting Brownian motion in Holder and Lipschitz domains.” In: Ann. Probab. 19.2 (1991), pp. 486–508.

5. G. Chapuisat and E. Grenier. “Existence and Nonexistence of Traveling Wave Solutions for a Bistable Reaction-Diffusion Equation in an Infinite Cylinder Whose Diameter is Suddenly Increased”. In: Commun. Part. Diff. Eq. 30.12 (2005), pp. 1805–1816. DOI: 10.1080/03605300500300006.

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