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I am struggling to find any elementary material on the "gradient flow of a functional" concept.

From introductions in advanced papers I seem to have understood that, assigned a functional F (u), the gradient flow is charactwerized by an equation of the type Du / Dt = P u , where P is a differential operator related to the functional's Euler- Lagrange equation.

I would like to understand more, but was surpsrisngly unable to find any sources on the Internet.

Can anybody suggest a good starting reading?

Many thanks for any help

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# Gradient Flow - Definition and Sources

Can you offer guidance or do you also need help?

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