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The Divergence of a Vector Field


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The divergence and the Laplacian


Laplace's equation is the partial differential equation [Equation goes here - download the original pdf to see it.] The Laplacian is the expression [Equation goes here - download the original pdf to see it.] and Laplace's equation becomes [Equation goes here - download the original pdf to see it.] Using this notation there is a relationship between the divergence and the Laplacian given by [Equation goes here - download the original pdf to see it.]
Contents of
The Divergence of a Vector Field

1 The divergence of a vector field
2 Invariance of divergence
3 The divergence and the Laplacian
4 Continuity equation of a compressible fluid flow

Related articles: (1) Introduction to Potential Theory and Laplace's Equation, (2) The Curl of a Vector Field