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

@article{Cermelli2005TransportRF,
  title={Transport relations for surface integrals arising in the formulation of balance laws for evolving fluid interfaces},
  author={P. Cermelli and E. Fried and M. Gurtin},
  journal={Journal of Fluid Mechanics},
  year={2005},
  volume={544},
  pages={339 - 351}
}
We establish transport relations for integrals over evolving fluid interfaces. These relations make it possible to localize integral balance laws over non-material interfaces separating fluid phases and, therefore, obtain associated interface conditions in differential form. 
Surface Transport in Continuum Mechanics
Finite element methods for surface PDEs*
Phase field modelling of surfactants in multi-phase flow
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 99 REFERENCES
A micromechanical investigation of interfacial transport processes. I. Interfacial conservation equations
Non-classical derivation of the transport theorems for wave fronts
Interfacial Transport Phenomena
General dynamical sharp-interface conditions for phase transformations in viscous heat-conducting fluids
Time derivatives of integrals and functionals defined on varying volume and surface domains
The Basic Equations of Fluid Dynamics
The effects of surfactants on drop deformation and breakup
...
1
2
3
4
5
...