Transport relations for surface integrals arising in the formulation of balance laws for evolving fluid interfaces

By P. Cermelli, Eliot Fried, M. Gurtin. Journal of Fluid Mechanics, 2005

136 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/86aa5af5160872e7ab63d50c6a2daac4f7ee40ef

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In Computational Theory and Mathematics

1. Marino Arroyo
2. Daniel Millán
3. Alejandro Torres-S'anchez

Citations in the corpus

• Tractions, Balances, and Boundary Conditions for Nonsimple Materials with Application to Liquid Flow at Small-Length Scales (2006, unknown): “Cermelli, Fried & Gurtin [4] equation (3.”
• Modelling fluid deformable surfaces with an emphasis on biological interfaces (2018, background): “We first note that the operator ∂t acting on f(x, t), with the usual meaning of taking the time-derivative at fixed x, is not well defined since x cannot be held fixed on a time-evolving surface in general (Cermelli et al. 2005).”