The Compressible Viscous Surface-Internal Wave Problem: Local Well-Posedness

@article{Jang2016TheCV,
  title={The Compressible Viscous Surface-Internal Wave Problem: Local Well-Posedness},
  author={Juhi Jang and Ian Tice and Yanjin Wang},
  journal={SIAM J. Math. Analysis},
  year={2016},
  volume={48},
  pages={2602-2673}
}
This paper concerns the dynamics of two layers of compressible, barotropic, viscous fluid lying atop one another. The lower fluid is bounded below by a rigid bottom, and the upper fluid is bounded above by a trivial fluid of constant pressure. This is a free boundary problem: the interfaces between the fluids and above the upper fluid are free to move. The fluids are acted on by gravity in the bulk, and at the free interfaces we consider both the case of surface tension and the case of no… CONTINUE READING

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Showing 1-10 of 34 references

Zero surface tension limit of viscous surface waves

  • Z. Tan, Y. J. Wang
  • Commun. Math. Phys. 328
  • 2014
Highly Influential
11 Excerpts

Decay of viscous surface waves without surface tension in horizontally infinite domains

  • Y. Guo, I. Tice
  • Anal. PDE 6
  • 2013
Highly Influential
13 Excerpts

The viscous surface-internal wave problem: nonlinear Rayleigh-Taylor instability

  • Y. J. Wang, I. Tice
  • Comm. Partial Differential Equations 37
  • 2012
Highly Influential
13 Excerpts

Surface waves for a compressible viscous fluid

  • N. Tanaka, A. Tani
  • J. Math. Fluid Mech. 5
  • 2003
Highly Influential
6 Excerpts

Large-time existence of surface waves in incompressible viscous fluids with or without surface tension

  • A. Tani, N. Tanaka
  • Arch. Rational Mech. Anal. 130
  • 1995
Highly Influential
5 Excerpts

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