Display Abstract

Title Reaction-Diffusion Equations from Energy Balance Climate Models

Name Georg Hetzer
Country USA
Email hetzege@auburn.edu
Co-Author(s)
Submit Time 2014-02-23 16:39:00
Session
Special Session 44: Quasilinear elliptic and parabolic problems and their applications
Contents
Energy balance climate models are simple diagnostic models which describe the evolution of a long-term mean of temperature by employing the relevant balance equations for the heat fluxes involved. The mean horizontal heat flux is parameterized by a slow-diffusion operator, and important feedback processes appear in the net radiation flux. This talk focuses on incorporating a bio-feedback into the model which leads to a nonautonomous functional reaction-diffusion problem with a set-valued reaction term. A global existence result for nonnegative solutions and the existence of a trajectory attractor are discussed.