Stable discontinuous stationary solutions to reaction-diffusion-ODE systems-Reference-Cited by-同舟云学术

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Stable discontinuous stationary solutions to reaction-diffusion-ODE systems

Published:2023-03-04 Issue:3 Volume:48 Page:478-510
ISSN:0360-5302
Container-title:Communications in Partial Differential Equations
language:en
Short-container-title:Communications in Partial Differential Equations

Author:

Cygan Szymon¹^ORCID,Marciniak-Czochra Anna²^ORCID,Karch Grzegorz¹^ORCID,Suzuki Kanako³^ORCID

Affiliation:

1. Instytut Matematyczny, Wrocław, Poland

2. Institute of Applied Mathematics, Interdisciplinary Center for Scientific Computing (IWR), Heidelberg University, Heidelberg, Germany

3. Graduate School of Science and Engineering, Ibaraki University, Mito, Japan

Funder

Deutsche Forschungsgemeinschaft

Japan Society for the Promotion of Science

Narodowe Centrum Nauki.

Publisher

Informa UK Limited

Subject

Applied Mathematics,Analysis

Link

https://www.tandfonline.com/doi/pdf/10.1080/03605302.2023.2190525

Reference46 articles.

1. Stability of nonconstant stationary solutions in a reaction-diffusion equation coupled to the system of ordinary differential equations

2. Spike patterns in a reaction-diffusion ODE model with Turing instability

3. Stable patterns with jump discontinuity in systems with Turing instability and hysteresis

4. Multistability and Hysteresis-Based Mechanism of Pattern Formation in Biology

Cited by 2 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. On the robustness of discontinuous patterns in degenerate reaction–diffusion systems with perturbed hysteresis;Communications in Nonlinear Science and Numerical Simulation;2024-04

2. Steady States with Jump Discontinuity in a Receptor-Based Model with Hysteresis in Higher-Dimensional Domains;SIAM Journal on Mathematical Analysis;2024-03-04

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