Stable discontinuous stationary solutions to reaction-diffusion-ODE systems

Autor:	Szymon Cygan, Anna Marciniak-Czochra, Grzegorz Karch, Kanako Suzuki
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Applied Mathematics FOS: Mathematics 35K57 35B35 35B36 92C15 Analysis Analysis of PDEs (math.AP)
Zdroj:	Communications in Partial Differential Equations. 48:478-510
ISSN:	1532-4133 0360-5302
Popis:	A general system of n ordinary differential equations coupled with one reaction-diffusion equation, considered in a bounded N-dimensional domain, with no-flux boundary condition is studied in a context of pattern formation. Such initial boundary value problems may have different types of stationary solutions. In our parallel work [Instability of all regular stationary solutions to reaction-diffusion-ODE systems (2021)], regular (i.e. sufficiently smooth) stationary solutions are shown to exist, however, all of them are unstable. The goal of this work is to construct discontinuous stationary solutions to general reaction-diffusion-ODE systems and to find sufficient conditions for their stability. 31 pages, 3 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a4010a8dc9479be02e5e226d7775bd1 https://doi.org/10.1080/03605302.2023.2190525 Zobrazit plný text záznamu