JournalszaaVol. 14, No. 3pp. 523–530

On Solvability of a Parabolic System Arising in Physical Oceanography

  • Senhuei Chen

    Howard University, Washington, USA
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Abstract

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.

Cite this article

Senhuei Chen, On Solvability of a Parabolic System Arising in Physical Oceanography. Z. Anal. Anwend. 14 (1995), no. 3, pp. 523–530

DOI 10.4171/ZAA/637