Study of ODE limit problems for reaction-diffusion equations | Zendy

Jacson Simsen | Zendy; Mariza Stefanello Simsen | Zendy; Aleksandra Zimmermann | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Study of ODE limit problems for reaction-diffusion equations

Author(s) -

Jacson Simsen,

Mariza Stefanello Simsen,

Aleksandra Zimmermann

Publication year - 2017

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2018.38.1.117

Subject(s) - mathematics , ode , limit (mathematics) , reaction–diffusion system , diffusion , mathematical analysis , thermodynamics , physics

In this work we study ODE limit problems for reaction-diffusion equations for large diffusion and we study the sensitivity of nonlinear ODEs with respect to initial conditions and exponent parameters. Moreover, we prove continuity of the flow and weak upper semicontinuity of a family of global attractors for reaction-diffusion equations with spatially variable exponents when the exponents go to 2 in \(L^{\infty}(\Omega)\) and the diffusion coefficients go to infinity

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