A diffusion system from climate modeling. (English) Zbl 0728.35051
Differential equations and applications, Proc. Int. Conf., Columbus/OH (USA) 1988, Vol. I, 441-444 (1989).
[For the entire collection see Zbl 0707.00014.]
This is a report on some preparatory studies to a reaction-diffusion system arising from climate modeling. Recently P. G. Schmidt and the author [Nonlinear Anal. Theory Methods Appl. 14, No.11, 915-926 (1990; Zbl 0709.35055)]; J. Math. Anal. Appl. 160, No.1, 250-262 (1991) and Int. Ser. Numer. Math. 97, 171-175 (1991)] have dealt with an extended version of this system establishing the existence of a global attractor and a criterion for the S-shapedness of the principal branch of stationary solutions.
This is a report on some preparatory studies to a reaction-diffusion system arising from climate modeling. Recently P. G. Schmidt and the author [Nonlinear Anal. Theory Methods Appl. 14, No.11, 915-926 (1990; Zbl 0709.35055)]; J. Math. Anal. Appl. 160, No.1, 250-262 (1991) and Int. Ser. Numer. Math. 97, 171-175 (1991)] have dealt with an extended version of this system establishing the existence of a global attractor and a criterion for the S-shapedness of the principal branch of stationary solutions.
Reviewer: G.Hetzer
MSC:
| 35K57 | Reaction-diffusion equations |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 86A10 | Meteorology and atmospheric physics |
