Periodic solutions for Sellers type diffusive energy balance model in climatology

Maurizio Badii

Rendiconti del Seminario Matematico della Università di Padova (2000)

  • Volume: 103, page 181-192
  • ISSN: 0041-8994

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Badii, Maurizio. "Periodic solutions for Sellers type diffusive energy balance model in climatology." Rendiconti del Seminario Matematico della Università di Padova 103 (2000): 181-192. <http://eudml.org/doc/108519>.

@article{Badii2000,
author = {Badii, Maurizio},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {1-dimensional -Laplacian; degenerate reaction-diffusion equation; Poincaré map; sub- and super-solution; maximal and minimal periodic solution; Schauder's fixed point theorem},
language = {eng},
pages = {181-192},
publisher = {Seminario Matematico of the University of Padua},
title = {Periodic solutions for Sellers type diffusive energy balance model in climatology},
url = {http://eudml.org/doc/108519},
volume = {103},
year = {2000},
}

TY - JOUR
AU - Badii, Maurizio
TI - Periodic solutions for Sellers type diffusive energy balance model in climatology
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2000
PB - Seminario Matematico of the University of Padua
VL - 103
SP - 181
EP - 192
LA - eng
KW - 1-dimensional -Laplacian; degenerate reaction-diffusion equation; Poincaré map; sub- and super-solution; maximal and minimal periodic solution; Schauder's fixed point theorem
UR - http://eudml.org/doc/108519
ER -

References

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  1. [1] M.I. Budyko, The effect of solar radiation variations on the climate of the Earth, Telles, 21 (1969), pp. 611-619. 
  2. [2] J.I. Diaz, Mathematical analysis of some diffusive energy balance models in climatology, in Mathematics, Climate and Environment, eds. J. I. Diaz and J. L. Lions, Masson (1993), pp. 28-56. Zbl0804.92026MR1263042
  3. [3] J.I. Diaz - M.A. Herrero, Estimates of the support of the solutions of some nonlinear elliptic and parabolic equations, Proceedings of Royal Soc. of Edinburgh, 89 A (1981), pp. 249-258. Zbl0478.35083MR635761
  4. [4] G. Hetzer, Forced periodic oscillations in the climate system via an energy balance model, Comm. Math. Univ. Carolinae, 28, 4 (1987), pp. 593-401. Zbl0641.35035MR928673
  5. [5] G. Hetzer, A parameter dependent time-periodic reaction-diffusion equation from climate modeling ; S-shapedness of the principal branch of fixed points of the time 1-map, Differential and Integral Equations, vol. 7, no. 5 (1994), pp. 1419-1425. Zbl0811.35054MR1269663
  6. [6] O.A. Ladyzenskaja - V.A. Solonnikov - N.N. Ural'ceva, Linear and Quasilinear equations of parabolic type, Transl. Math. Monographs, vol. 23, Amer. Math. Soc.Providence, R. I. (1969). Zbl0174.15403MR241822
  7. [7] W.P. Sellers, A global climate model based on the energy balance of the Earth-athmosphere system, J. Appl. Meteorol., 8 (1969), pp. 392-400. 

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