Publication Cover
Applicable Analysis
An International Journal
Volume 71, 1998 - Issue 1-4
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Original Articles

Passage to the limit in a chain of the muskat problems(II)

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Pages 279-299 | Received 01 Jun 1998, Published online: 20 Jan 2011

References

  • Muskat , M. 1934 . Two fluid systems in porous media. The encroachment of water into an oil sand . Physics , 5 : 250 – 264 .
  • Verigin , N. N. 1949 . O neustanoviushemsya dvizhenii gruniovih vod vblizi vodohranitischa . Dokladi AN SSSR , 6 ( 6 ) : 1067 – 1070 .
  • Hillhorst , D. and Radkevich , E. 1998 . On some smooth approximation for the classical Muskat problem , Proceeding of Moscow Mathematical Society . (in Russian)
  • Danilov V. G. Omel'yanov G. A. Radkevich E. V. Hugonioi-type conditions and weak solutions to the phase field system to appear
  • Gelfand , I. M. and Shilov , G. E. 1959 . Distributions and Operations with Them , Vol. 1 , Moscow : Fizmatlit . (Russian)
  • Rubinshtein , L I. 1971 . The Stefan problem , 417 Providence , AMS .
  • Mizohata , S. 1973 . The theory of prtial differential equations , Cembridge of the University Press .
  • Kametaka Y. Radkevich E. Passage to the limit in a chain of Muskat problems and finger phenomenon Pros. Japan Acad. (to appear)
  • Kametaka Y. Radkevich E. Passage to the limit in a chain of Muskat problems(I) to appear
  • Bear , J. 1972 . Dynamics of Fluids in Porous Media , New York : American Elsevier .

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