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Zeitschrift für Analysis und ihre Anwendungen


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Volume 14, Issue 3, 1995, pp. 523–530
DOI: 10.4171/ZAA/637

Published online: 1995-09-30

On Solvability of a Parabolic System Arising in Physical Oceanography

Senhuei Chen[1]

(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