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
Official URL: http://www.sciencedirect.com/science/journal/14681218
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.
|Uncontrolled Keywords:||Degenerate quasilinear equation; Radiative meteorological model; Number of stable regions; Nonlinear di4usion|
|Subjects:||Sciences > Mathematics > Differential equations|
|Deposited On:||28 Mar 2011 14:01|
|Last Modified:||28 Mar 2011 14:01|
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