%0 Journal Article
%A Tello, J. Ignacio
%A Díaz Díaz, Jesús Ildefonso
%T On the mathematical analysis of the limit case of a radiative—convective climate model
%D 2002
%@ 1468-1218
%U https://hdl.handle.net/20.500.14352/57039
%X We study the limit case corresponding to a model introduced by G.L. Stenchikov and A. Robock for the evolution of the temperature of an atmospheric column in absence of humidity. The model envolves a degenerate noncoercive quasilinear equation. The diffusion coefficient depends of the atmospheric stability and vanishes on the stable regions. We show the existence and uniqueness of a suitable class of weak solutions and prove that the number of stable and unstable regions are nonincreasing in time.
%~