The Differentiation Lemma and the Reynolds Transport Theorem for submanifolds with corners
The Differentiation Lemma and the Reynolds Transport Theorem for submanifolds with corners
The Reynolds Transport Theorem, colloquially known as “differentiation under the integral sign”, is a central tool of applied mathematics, finding application in a variety of disciplines such as fluid dynamics, quantum mechanics, and statistical physics. In this work, we state and prove generalizations thereof to submanifolds with corners evolving in …