The Scalar Truesdell Time Derivative with a surface-independence gauge enables energy-dissipating gradient flows on evolving surfaces that conserve the scalar quantity.
Curve shortening flow coupled to lateral diffusion
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Scalar Truesdell Time Derivative and $(L^{2},H^{-1})$ -- Surface Gradient Flows
The Scalar Truesdell Time Derivative with a surface-independence gauge enables energy-dissipating gradient flows on evolving surfaces that conserve the scalar quantity.