An Asymptotic Analysis of Localized Three-Dimensional Spot Patterns for the Gierer--Meinhardt Model: Existence, Linear Stability, and Slow Dynamics-Reference-Cited by-同舟云学术

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An Asymptotic Analysis of Localized Three-Dimensional Spot Patterns for the Gierer--Meinhardt Model: Existence, Linear Stability, and Slow Dynamics

Published:2021-01 Issue:2 Volume:81 Page:378-406
ISSN:0036-1399
Container-title:SIAM Journal on Applied Mathematics
language:en
Short-container-title:SIAM J. Appl. Math.

Author:

Gomez Daniel,Ward Michael J.,Wei Juncheng

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics

Link

https://epubs.siam.org/doi/pdf/10.1137/20M135707X

Reference20 articles.

1. Higher Dimensional Bubble Profiles in a Sharp Interface Limit of the FitzHugh--Nagumo System

2. The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray–Scott Model

3. Homoclinic Stripe Patterns

4. Spike solutions for a mass conservation reaction-diffusion system

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1. Spike Solutions to the Supercritical Fractional Gierer–Meinhardt System;Journal of Nonlinear Science;2023-12-18

2. Multi-spike solutions to the one-dimensional subcritical fractional Schnakenberg system;Physica D: Nonlinear Phenomena;2023-06

3. Oscillatory translational instabilities of spot patterns in the Schnakenberg system on general 2D domains;Nonlinearity;2023-03-30

4. Turing instability in the one-parameter Gierer–Meinhardt system;Izvestiya VUZ. Applied Nonlinear Dynamics;2023

5. Stability of Spike Solutions to the Fractional Gierer-Meinhardt System in a One-Dimensional Domain;Numerical Mathematics: Theory, Methods and Applications;2022-06

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