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Volumn 45, Issue 3, 2012, Pages 491-509

Relaxation of the incompressible porous media equation

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EID: 84867458807     PISSN: 00129593     EISSN: None     Source Type: Journal    
DOI: 10.24033/asens.2171     Document Type: Article
Times cited : (97)

References (19)
  • 1
    • 79956118686 scopus 로고    scopus 로고
    • Lack of uniqueness for weak solutions of the incompressible porous media equation
    • D. CÓRDOBA, D. FARACO, F. GANCEDO, Lack of uniqueness for weak solutions of the incompressible porous media equation, Arch. Ration. Mech. Anal. 200 (2011), 725-746.
    • (2011) Arch. Ration. Mech. Anal. , vol.200 , pp. 725-746
    • Córdoba, D.1    Faraco, D.2    Gancedo, F.3
  • 2
    • 34249881893 scopus 로고    scopus 로고
    • Contour dynamics of incompressible 3-d ßuids in a porous medium with different densities
    • D. CÓRDOBA, F. GANCEDO, Contour dynamics of incompressible 3-D ßuids in a porous medium with different densities, Comm. Math. Phys. 273 (2007), 445-471.
    • (2007) Comm. Math. Phys. , vol.273 , pp. 445-471
    • Córdoba, D.1    Gancedo, F.2
  • 3
    • 0000997393 scopus 로고
    • The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
    • C. M. DAFERMOS, The entropy rate admissibility criterion for solutions of hyperbolic conservation laws, J. Differential Equations 14 (1973), 202-212.
    • (1973) J. Differential Equations , vol.14 , pp. 202-212
    • Dafermos, C.M.1
  • 4
    • 71749114913 scopus 로고    scopus 로고
    • The euler equations as a differential inclusion
    • C. DE LELLIS, L. J. SZÉKELYHIDI, The Euler equations as a differential inclusion, Ann. of Math. 170 (2009), 1417-1436.
    • (2009) Ann. Of Math. , vol.170 , pp. 1417-1436
    • De Lellis, C.1    Székelyhidi, L.J.2
  • 5
    • 70350655922 scopus 로고    scopus 로고
    • On admissibility criteria for weak solutions of the euler equations
    • C. DE LELLIS, L. J. SZÉKELYHIDI, On admissibility criteria for weak solutions of the Euler equations, Arch. Ration. Mech. Anal. 195 (2010), 225-260.
    • (2010) Arch. Ration. Mech. Anal. , vol.195 , pp. 225-260
    • De Lellis, C.1    Székelyhidi, L.J.2
  • 7
    • 0033911790 scopus 로고    scopus 로고
    • A note on the two-phase hele-shaw problem
    • S. D. HOWISON, A note on the two-phase Hele-Shaw problem, J. Fluid Mech. 409 (2000), 243-249.
    • (2000) J. Fluid Mech. , vol.409 , pp. 243-249
    • Howison, S.D.1
  • 11
    • 0038159405 scopus 로고    scopus 로고
    • Convex integration for Lipschitz mappings and counterexamples to regularity
    • S. MÜLLER, V. VERÁK, Convex integration for Lipschitz mappings and counterexamples to regularity, Ann. of Math. 157 (2003), 715-742. (Pubitemid 36803086)
    • (2003) Annals of Mathematics , vol.157 , Issue.3 , pp. 715-742
    • Muller, S.1    Sverak, V.2
  • 12
    • 0039525530 scopus 로고    scopus 로고
    • Evolution of microstructure in unstable porous media ßow: A relaxational approach
    • F. OTTO, Evolution of microstructure in unstable porous media ßow: a relaxational approach, Comm. Pure Appl. Math. 52 (1999), 873-915.
    • (1999) Comm. Pure Appl. Math. , vol.52 , pp. 873-915
    • Otto, F.1
  • 15
    • 0001383598 scopus 로고
    • The penetration of a ßuid into a porous medium or hele-shaw cell containing a more viscous liquid
    • P. G. SAFFMAN, G. TAYLOR, The penetration of a ßuid into a porous medium or Hele-Shaw cell containing a more viscous liquid, Proc. Roy. Soc. London. Ser. A 245 (1958), 312-329.
    • (1958) Proc. Roy. Soc. London. Ser. A , vol.245 , pp. 312-329
    • Saffman, P.G.1    Taylor, G.2
  • 16
    • 79959908842 scopus 로고    scopus 로고
    • Convex integration for a class of active scalar equations
    • R. SHVYDKOY, Convex integration for a class of active scalar equations, J. Amer. Math. Soc. 24 (2011), 1159-1174.
    • (2011) J. Amer. Math. Soc. , vol.24 , pp. 1159-1174
    • Shvydkoy, R.1
  • 17
    • 4544228729 scopus 로고    scopus 로고
    • Global existence, singular solutions, and ill-posedness for the Muskat problem
    • DOI 10.1002/cpa.20040
    • M. SIEGEL, R. E. CAFLISCH, S. HOWISON, Global existence, singular solutions, and ill-posedness for the Muskat problem, Comm. Pure Appl. Math. 57 (2004), 1374-1411. (Pubitemid 39234321)
    • (2004) Communications on Pure and Applied Mathematics , vol.57 , Issue.10 , pp. 1374-1411
    • Siegel, M.1    Caflisch, R.E.2    Howison, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.