Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1995-09-30
On Solvability of a Parabolic System Arising in Physical OceanographySenhuei Chen (1) Howard University, Washington, USA
In physical oceanography, thermocline theories are to explain the phenomenon of strong, vertical density gradient in a relatively shallow layer of water where transition occurs from the ocean’s surface temperature to the colder abyss. We derive a nonlinear system of partial differential equations governing the motion of thermocline layer. Function spaces are set up to study properties of the solutions. By a local version of Banach’s fixed point theorem, the existence and smoothness of solutions are established.
Keywords: Physical oceanography, therrnocline, Hölder spaces, Banach fixed point theorem
Chen Senhuei: On Solvability of a Parabolic System Arising in Physical Oceanography. Z. Anal. Anwend. 14 (1995), 523-530. doi: 10.4171/ZAA/637