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Global warming has been discussed for decades and is one of most populartopics in different areas of research. The sea level rise in recent decades,which was mainly caused by global warming, has drawn great attentions andinterests from scientists because it is crucial to human life as well as theentire earth system. A generalized Schrodinger bridge problem with anunderlying energy landscape is used to model this process. We introduce aniterative numerical method for the associated mixed control problem with agiven initial distribution (sea level height at the year 1994) and a givenending distribution (sea level height at the year 2014). The convergence of theintroduced iterative method for finding the optimal transformation path of SSHis validated numerically. The evolution of sea level height from August 1994 toAugust 2014 has been characterized during the model simulation and the sealevel height evolutions in several significant areas induced by ocean mesoscaleeddies are reveled.

Enriched evolution of global sea surface height via generalized Schrodinger bridge and Fokker-Planck solver