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For a vector field (ux, uy, uz), I wonder if anybody knows if there is a formal name or another mathematical expression for statement below?

(∂ux/∂x)^2+(∂uy/∂y)^2+(∂uz/∂z)^2+2(∂ux/∂y)(∂uy/∂x)+2(∂uy/∂z)(∂uz/∂y)+2(∂uz/∂x)(∂ux/∂z)

It is obvious that each of partial derivatives used in the statement can be found in Jacobean of a vector field u.

I would appreciate any suggestions and/or comments.

Kind Regards,

Dan

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# Is there a formal name or alternative rep for PDE statement?

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