Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems | Zendy

Juan Luís Vázquez | Zendy; Hirokazu Ninomiya | Zendy; Марек Фила | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems

Author(s) -

Juan Luís Vázquez,

Hirokazu Ninomiya,

Марек Фила

Publication year - 2005

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2006.14.63

Subject(s) - dirichlet boundary condition , mathematics , reaction–diffusion system , homogeneous , mathematical analysis , dirichlet distribution , space (punctuation) , diffusion , boundary (topology) , dirichlet conditions , boundary value problem , dirichlet's principle , computer science , physics , thermodynamics , combinatorics , operating system

This paper examines the following question: Suppose that we have a reaction-diffusion equation or system such that some solutions which are homogeneous in space blow up in finite time. Is it possible to inhibit the occurrence of blow-up as a consequence of imposing Dirichlet boundary conditions, or other effects where diffusion plays a role? We give examples of equations and systems where the answer is affirmative.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research