The steady state solutions to thermohaline circulation equations

Chao  Xing; Ping  Zhou; Hong Luo

doi:10.3934/dcdsb.2016117

Article Contents

2016, Volume 21, Issue 10: 3709-3722. Doi: 10.3934/dcdsb.2016117

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The steady state solutions to thermohaline circulation equations

1.
College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan 610066

Received: November 30, 2015

Revised: April 30, 2016

Published: November 2016

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Abstract

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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Mathematics Subject Classification: Primary: 35Q35, 35A01; Secondary: 34K21.

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