Exterior Differential System Approach to Continuity Equation

Mansour Hassan Mansour, M. A. Bashir

Abstract: The theory of exterior differential systems is applied to study partial differential equations, expressed in the terms of differential forms using Cartan's method. The continuity equation and the Laplace equation are described by these exterior differential systems involving a geometrical perspective.

Keywords: Partial differential equations, exterior derivative, ideal, exterior differential systems, continuity equa-tion.

Title: Exterior Differential System Approach to Continuity Equation

Author: Mansour Hassan Mansour, M. A. Bashir

International Journal of Mathematics and Physical Sciences Research

ISSN 2348-5736 (Online)

Research Publish Journals

Vol. 3, Issue 1, April 2015 - September 2015

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Exterior Differential System Approach to Continuity Equation by Mansour Hassan Mansour, M. A. Bashir