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Volumn 286, Issue 2, 2009, Pages 681-696

A maximum principle for the Muskat problem for fluids with different Densities

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EID: 58849109361     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-008-0587-1     Document Type: Article
Times cited : (73)

References (17)
  • 1
    • 16644399272 scopus 로고    scopus 로고
    • Well-posedness of two-phase Hele-Shaw flow without surface tension
    • D. Ambrose 2004 Well-posedness of two-phase Hele-Shaw flow without surface tension Euro. J. Appl. Math. 15 597 607
    • (2004) Euro. J. Appl. Math. , vol.15 , pp. 597-607
    • Ambrose, D.1
  • 3
    • 0000985293 scopus 로고    scopus 로고
    • Wave breaking for nonlinear nonlocal shallow water equations
    • 2
    • A. Constantin J. Escher 1998 Wave breaking for nonlinear nonlocal shallow water equations Acta Math. 181 2 229 243
    • (1998) Acta Math. , vol.181 , pp. 229-243
    • Constantin, A.1    Escher, J.2
  • 4
    • 0000851461 scopus 로고
    • Global solutions for small data to the Hele-Shaw problem
    • P. Constantin M. Pugh 1993 Global solutions for small data to the Hele-Shaw problem Nonlinearity 6 393 415
    • (1993) Nonlinearity , vol.6 , pp. 393-415
    • Constantin, P.1    Pugh, M.2
  • 5
    • 4544377751 scopus 로고    scopus 로고
    • A maximum principle applied to Quasi-geostrophic equations
    • 3
    • A. Córdoba D. Córdoba 2004 A maximum principle applied to Quasi-geostrophic equations Commun. Math. Phys. 249 3 511 528
    • (2004) Commun. Math. Phys. , vol.249 , pp. 511-528
    • Córdoba, A.1    Córdoba, D.2
  • 7
    • 34249881893 scopus 로고    scopus 로고
    • Contour dynamics of incompressible 3-D fluids in a porous medium with different densities
    • 2
    • D. Córdoba F. Gancedo 2007 Contour dynamics of incompressible 3-D fluids in a porous medium with different densities Commun. Math. Phys. 273 2 445 471
    • (2007) Commun. Math. Phys. , vol.273 , pp. 445-471
    • Córdoba, D.1    Gancedo, F.2
  • 8
    • 18344392343 scopus 로고
    • On the interface dynamics for convection in porous media
    • T. Dombre A. Pumir E. Siggia 1992 On the interface dynamics for convection in porous media Physica D 57 311 329
    • (1992) Physica D , vol.57 , pp. 311-329
    • Dombre, T.1    Pumir, A.2    Siggia, E.3
  • 9
    • 0000010015 scopus 로고    scopus 로고
    • Classical solutions for Hele- Shaw models with surface tension
    • J. Escher G. Simonett 1997 Classical solutions for Hele- Shaw models with surface tension Adv. Differ. Eqs. 2 619 642
    • (1997) Adv. Differ. Eqs. , vol.2 , pp. 619-642
    • Escher, J.1    Simonett, G.2
  • 10
    • 39749086442 scopus 로고    scopus 로고
    • Existence for the α-patch model and the QG sharp front in Sobolev spaces
    • F. Gancedo 2008 Existence for the α-patch model and the QG sharp front in Sobolev spaces Adv. Math. 217/6 2569 2598
    • (2008) Adv. Math. , vol.2176 , pp. 2569-2598
    • Gancedo, F.1
  • 11
    • 33749026600 scopus 로고
    • The flow of water
    • Hele-Shaw, H.S.: The flow of water. Nature 58 (1489), 34-36 (1898); Ibid. 58 (1509), 520 (1898)
    • (1898) Nature , vol.58 , Issue.1489 , pp. 34-36
    • Hele-Shaw, H.S.1
  • 12
    • 51149153312 scopus 로고
    • The flow of water
    • Hele-Shaw, H.S.: The flow of water. Nature 58 (1489), 34-36 (1898); Ibid. 58 (1509), 520 (1898)
    • (1898) Nature , vol.58 , Issue.1509 , pp. 520
    • Hele-Shaw, H.S.1
  • 13
    • 0008283862 scopus 로고
    • Removing the stiffness from interfacial flows with surface tension
    • T.Y. Hou J.S. Lowengrub M.J. Shelley 1994 Removing the stiffness from interfacial flows with surface tension J. Comput. Phys. 114 312 338
    • (1994) J. Comput. Phys. , vol.114 , pp. 312-338
    • Hou, T.Y.1    Lowengrub, J.S.2    Shelley, M.J.3
  • 15
    • 0001383598 scopus 로고
    • The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
    • P.G. Saffman G. Taylor 1958 The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid Proc. R. Soc. London, Ser. A 245 312 329
    • (1958) Proc. R. Soc. London, Ser. A , vol.245 , pp. 312-329
    • Saffman, P.G.1    Taylor, G.2
  • 16
    • 4544228729 scopus 로고    scopus 로고
    • Global existence, singular solutions, and Ill-Posedness for the Muskat problem
    • M. Siegel R. Caflisch S. Howison 2004 Global existence, singular solutions, and Ill-Posedness for the Muskat problem Comm. Pure and Appl. Math. 57 1374 1411
    • (2004) Comm. Pure and Appl. Math. , vol.57 , pp. 1374-1411
    • Siegel, M.1    Caflisch, R.2    Howison, S.3
  • 17
    • 0004136765 scopus 로고
    • Princeton University Press Princeton, NJ
    • Stein E.: Harmonic Analysis. Princeton University Press, Princeton, NJ (1993)
    • (1993) Harmonic Analysis
    • Stein, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.