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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 495408, 9 pages
Research Article

Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation

Department of Mathematics, Faculty of Engineering, Tamagawa University, 6-1-1 Tamagawa-Gakuen, Machida, Tokyo 194-8610, Japan

Received 16 June 2013; Accepted 8 August 2013

Academic Editor: Rodrigo Lopez Pouso

Copyright © 2013 Yoshiaki Kusaka. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. Y. D. Shikhmurzaev, Capillary Flows with Forming Interfaces, Chapman & Hall/CRC, Boca Raton, Fla, USA, 2008. View at MathSciNet
  2. Y. D. Shikhmurzaev, “The moving contact line on a smooth solid surface,” International Journal of Multiphase Flow, vol. 19, no. 4, pp. 589–610, 1993. View at Google Scholar
  3. Y. D. Shikhmurzaev, “Moving contact lines in liquid/liquid/solid systems,” Journal of Fluid Mechanics, vol. 334, pp. 211–249, 1997. View at Publisher · View at Google Scholar · View at MathSciNet
  4. Y. D. Shikhmurzaev, “On cusped interfaces,” Journal of Fluid Mechanics, vol. 359, pp. 313–328, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  5. H. Wong, D. Rumschitzki, and C. Maldarelli, “On the surfactant mass balance at a deforming fluid interface,” Physics of Fluids, vol. 8, no. 11, pp. 3203–3204, 1996. View at Google Scholar
  6. I. Sh. Mogilevskiĭ and V. A. Solonnikov, “On the solvability of an evolution free boundary problem for the Navier-Stokes equations in Hölder spaces of functions,” in Mathematical Problems Relating to the Navier-Stokes Equation, vol. 11 of Advances in Mathematics for Applied Sciences, pp. 105–181, World Science Publications, River Edge, NJ, USA, 1992. View at Google Scholar · View at MathSciNet
  7. O. A. Lady ženskaja, V. A. Solonnikov, and N. N. Ural'ceva, “Linear and quasi-linear equations of parabolic type,” Translations of Mathematical Monographs, 1968. View at Google Scholar