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On the mathematical analysis of the limit case of a radiative—convective climate model

Tello, J. Ignacio and Díaz Díaz, Jesús Ildefonso (2002) On the mathematical analysis of the limit case of a radiative—convective climate model. Nonlinear analysis. Real world applications : an international multidisciplinary journal, 3 (2). pp. 293-305. ISSN 1468-1218

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Abstract

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.

Item Type:Article
Uncontrolled Keywords:Degenerate quasilinear equation; Radiative meteorological model; Number of stable regions; Nonlinear di4usion
Subjects:Sciences > Mathematics > Differential equations
ID Code:12489
Deposited On:28 Mar 2011 14:01
Last Modified:28 Mar 2011 14:01

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