Quasi–incompressible Cahn–Hilliard fluids and topological transitions

@article{Lowengrub1998QuasiincompressibleCF,
  title={Quasi–incompressible Cahn–Hilliard fluids and topological transitions},
  author={John S. Lowengrub and Lev Truskinovsky},
  journal={Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences},
  year={1998},
  volume={454},
  pages={2617 - 2654}
}
  • J. LowengrubL. Truskinovsky
  • Published 8 October 1998
  • Mathematics
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
One of the fundamental problems in simulating the motion of sharp interfaces between immiscible fluids is a description of the transition that occurs when the interfaces merge and reconnect. It is well known that classical methods involving sharp interfaces fail to describe this type of phenomena. Following some previous work in this area, we suggest a physically motivated regularization of the Euler equations which allows topological transitions to occur smoothly. In this model, the sharp… 

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