The Asymptotical Theory Of Thermohaline Circulation Equations

The existence of steady state solutions and weak attractor to thermohaline cir-culation equations are investigated in this thesis, which includes three parts.The existence and the regularity of steady state solutions are studied in the first part. First-ly, the existence of weak solutions to the equations is obtained by acute angle theory of weakly continuous operator. Secondly, the existence of strong solutions to the equations is proved by ADN theorem and iteration procedure. At last, the existence of classical solutions is obtained by ADN theorem and the Schauder theorem of liner elliptic equations.The existence of global weak solutions to thermohaline circulation equations is investigat-ed by the T-wcakly continuous methods in the second part.The existence of attractor to thermohaline circulation equations is studied in the third part.Firstly, a energy inequality of global weak solutions is given. Secondly, a multivalued semiflow is generated by the global weak solutions satisfying a energy inequality. The existence of attractor in the weak topology space is investigated for the multivalued semiflows generated by thermohaline circulation equations.