  Global warming has been discussed for decades and is one of most popular
topics in different areas of research. The sea level rise in recent decades,
which was mainly caused by global warming, has drawn great attentions and
interests from scientists because it is crucial to human life as well as the
entire earth system. A generalized Schrodinger bridge problem with an
underlying energy landscape is used to model this process. We introduce an
iterative numerical method for the associated mixed control problem with a
given initial distribution (sea level height at the year 1994) and a given
ending distribution (sea level height at the year 2014). The convergence of the
introduced iterative method for finding the optimal transformation path of SSH
is validated numerically. The evolution of sea level height from August 1994 to
August 2014 has been characterized during the model simulation and the sea
level height evolutions in several significant areas induced by ocean mesoscale
eddies are reveled.
