Steady State Solution to Atmospheric Circulation Equations with Humidity Effect

Luo, Hong

doi:10.1155/2012/867310

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Chao Xing Ping Zhou and Hong Luo1

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2016

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“…The steady state solutions to the thermohaline circulation equations are significant to understand the dynamical behavior of the thermohaline circulation and are the main directions and important content in studying thermohaline circulation equations. The steady state solutions of other system have been studied in [5,6,9,15]. In paper [6], the author discussed the existence of the equilibrium solutions to the semilinear reaction diffusion system by fixed point theorem.…”

Section: Chao Xing Ping Zhou and Hong Luomentioning

confidence: 99%

The steady state solutions to thermohaline circulation equations

Xing¹,

Ping²,

Luo³

2016

DCDS-B

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In the article, we study the existence and the regularity of the steady state solutions to thermohaline circulation equations. Firstly, we obtain a sufficient condition of the existence of weak solutions to the equations by acute angle theory of weakly continuous operator. Secondly, we prove the existence of strong solutions to the equations by ADN theory and iteration procedure. Furthermore, we study the generic property of the solutions by Sard-Smale theorem and the existence of classical solutions by ADN theorem.

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