Renormalized solutions of an anisotropic reaction-diffusion-advection system with $L^1$ data | Zendy

Mostafa Bendahmane | Zendy; Kenneth H. Karlsen | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Renormalized solutions of an anisotropic reaction-diffusion-advection system with $L^1$ data

Author(s) -

Mostafa Bendahmane,

Kenneth H. Karlsen

Publication year - 2006

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2006.5.733

Subject(s) - integrable system , advection , dirichlet boundary condition , anisotropy , nonlinear system , partial differential equation , reaction–diffusion system , diffusion , dirichlet distribution , mathematical analysis , boundary value problem , physics , mathematics , thermodynamics , quantum mechanics

We prove existence of a renormalized solution to a system of non- linear partial dierential equations with anisotropic diusivities and transport eects, supplemented with initial and Dirichlet boundary conditions. The data are assumed to be merely integrable. This system models the spread of an epidemic disease through a heterogeneous habitat.

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