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Time periodic solutions for a diffusive energy balance model in climatology

Díaz Díaz, Jesús Ildefonso and Badii, M (1999) Time periodic solutions for a diffusive energy balance model in climatology. Journal of Mathematical Analysisand applications, 233 (2). pp. 713-729. ISSN 0022-247X

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Abstract

We prove the existence of a periodic solution to the problem u(t) - Delta(p)u + R-e(x,u) is an element of mu Q(x,t)beta(u) in M x R, assumed p greater than or equal to 2, M a compact connected and oriented bidimensional Riemannian manifold without boundary, beta(u) a bounded maximal monotone graph (the coalbedo), Q(x, t) a time periodic function (the incoming solar radiation flux) and R-e a time independent strictly increasing function of the surface temperature u (the Earth emitted energy)

Item Type:Article
Uncontrolled Keywords:nonlinear parabolic equations; periodic solutions; supersolution; subsolution; Riemannian manifold
Subjects:Sciences > Mathematics > Differential equations
ID Code:15647
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