Long-time behavior of state functions for climate energy balance model

Nataliia V. Gorban; Olha V. Khomenko; Liliia S. Paliichuk; Alla M. Tkachuk

doi:10.3934/dcdsb.2017112

Article Contents

2017, Volume 22, Issue 5: 1887-1897. Doi: 10.3934/dcdsb.2017112

This issue Previous Article Global attractors of impulsive parabolic inclusions Next Article Regularity of global attractors for reaction-diffusion systems with no more than quadratic growth

Long-time behavior of state functions for climate energy balance model

1.
Institute for Applied System Analysis, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine
2.
National University of Food Technologies, Kyiv, Ukraine

* Corresponding author: Nataliia V. Gorban
* Corresponding author: Nataliia V. Gorban

Received: July 2016

Revised: September 2016

Published: August 2017

The authors are partially supported by the Ukrainian State Fund for Fundamental Researches under grant GP/F66/14921, and by the National Academy of Sciences of Ukraine under grant 2284.

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Abstract

We study the long time behavior of state functions for a climate energy balance model (so-called Budyko Model). Existence and properties of weak solutions, and existence of Lyapunov function are obtained. Existence, structure and regularity properties for global and trajectory attractors are justified.

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Mathematics Subject Classification: Primary:35K57, 37L05, 35B41;Secondary:35B40.

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