The shift-semiflow of a multi-valued evolution equation from climate modelling

✍ Scribed by G. Hetzer

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 641 KB
• Volume: 47
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(01)00412-6

✦ Synopsis

This note is concerned with a variant of the trajectory space approach ([3], [4], [16]) which applies to reaction-diffusion problems with slow diffusion and jump discontinuities in the source term. Such problems arise from Budyko-type energy balance climate models, and typically the initial value problem for the resulting parabolic differential inclusion is not uniquely solvable. It will be shown that the shift-semigroup on a suitable trajectory space, a complete subset of a Fréchet space of continuous functions, possesses a global compact attractor.