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Volumn 339, Issue 2, 2008, Pages 1112-1133

On a fully coupled nonlinear parabolic problem modelling miscible compressible displacement in porous media

Author keywords

Miscible compressible displacement; Nonlinear coupled parabolic system; Porous media; Renormalization of parabolic equations

Indexed keywords


EID: 35348966286     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.07.037     Document Type: Article
Times cited : (16)

References (19)
  • 1
    • 0038959855 scopus 로고    scopus 로고
    • Mathematical analysis for compressible miscible displacement models in porous media
    • Amirat Y., Hamdache K., and Ziani A. Mathematical analysis for compressible miscible displacement models in porous media. Math. Models Methods Appl. Sci. 6 6 (1996) 729-747
    • (1996) Math. Models Methods Appl. Sci. , vol.6 , Issue.6 , pp. 729-747
    • Amirat, Y.1    Hamdache, K.2    Ziani, A.3
  • 2
    • 0040682328 scopus 로고    scopus 로고
    • Global weak solutions for a parabolic system modeling a one-dimensional miscible flow in porous media
    • Amirat Y., and Ziani A. Global weak solutions for a parabolic system modeling a one-dimensional miscible flow in porous media. J. Math. Anal. Appl. 220 2 (1998) 697-718
    • (1998) J. Math. Anal. Appl. , vol.220 , Issue.2 , pp. 697-718
    • Amirat, Y.1    Ziani, A.2
  • 4
    • 0000930026 scopus 로고
    • Non-linear elliptic and parabolic equations involving measure data
    • Boccardo L., and Gallouet T. Non-linear elliptic and parabolic equations involving measure data. J. Funct. Anal. 87 (1989) 149-169
    • (1989) J. Funct. Anal. , vol.87 , pp. 149-169
    • Boccardo, L.1    Gallouet, T.2
  • 5
    • 0032622872 scopus 로고    scopus 로고
    • Mathematical analysis for reservoirs models
    • Chen Z., and Ewing R.E. Mathematical analysis for reservoirs models. SIAM J. Math. Anal. 30 (1999) 431-459
    • (1999) SIAM J. Math. Anal. , vol.30 , pp. 431-459
    • Chen, Z.1    Ewing, R.E.2
  • 6
    • 11144338210 scopus 로고    scopus 로고
    • Existence result for a radionuclide transport model with an unbounded viscosity
    • Choquet C. Existence result for a radionuclide transport model with an unbounded viscosity. J. Math. Fluid Mech. 6 4 (2004) 365-388
    • (2004) J. Math. Fluid Mech. , vol.6 , Issue.4 , pp. 365-388
    • Choquet, C.1
  • 7
    • 84966200192 scopus 로고
    • Numerical methods for a model for compressible miscible displacement in porous media
    • Douglas Jr. J., and Roberts J.E. Numerical methods for a model for compressible miscible displacement in porous media. Math. Comput. 41 (1983) 441-459
    • (1983) Math. Comput. , vol.41 , pp. 441-459
    • Douglas Jr., J.1    Roberts, J.E.2
  • 8
    • 21144461377 scopus 로고
    • Mathematical analysis of miscible displacement in porous medium
    • Fabrie P., and Langlais M. Mathematical analysis of miscible displacement in porous medium. SIAM J. Math. Anal. 23 (1992) 1375-1392
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1375-1392
    • Fabrie, P.1    Langlais, M.2
  • 9
    • 0024012513 scopus 로고
    • An approximate model with physically interpretable parameters for representing miscible viscous fingering
    • Fayers F.J. An approximate model with physically interpretable parameters for representing miscible viscous fingering. SPERE 3 (1988) 551-558
    • (1988) SPERE , vol.3 , pp. 551-558
    • Fayers, F.J.1
  • 10
    • 0346115388 scopus 로고
    • On existence and uniqueness results for a coupled system modeling miscible displacement in porous media
    • Feng X. On existence and uniqueness results for a coupled system modeling miscible displacement in porous media. J. Math. Anal. Appl. 194 (1995) 883-910
    • (1995) J. Math. Anal. Appl. , vol.194 , pp. 883-910
    • Feng, X.1
  • 11
    • 52449127766 scopus 로고    scopus 로고
    • On a nonlinear degenerate parabolic transport diffusion equation with a discontinuous coefficient
    • Karlsen K.H., Risebro N.H., and Towers J.D. On a nonlinear degenerate parabolic transport diffusion equation with a discontinuous coefficient. Electron. J. Differential Equations 2002 93 (2002) 1-23
    • (2002) Electron. J. Differential Equations , vol.2002 , Issue.93 , pp. 1-23
    • Karlsen, K.H.1    Risebro, N.H.2    Towers, J.D.3
  • 12
    • 0000279634 scopus 로고
    • A method for predicting the performance of unstable miscible displacements in heterogeneous media
    • Koval E.J. A method for predicting the performance of unstable miscible displacements in heterogeneous media. SPEJ Trans. AIME 228 (1963) 145-154
    • (1963) SPEJ Trans. AIME , vol.228 , pp. 145-154
    • Koval, E.J.1
  • 13
    • 0003223550 scopus 로고
    • Linear and Quasi-Linear Equations of Parabolic Type
    • American Mathematical Society, Providence, RI
    • Ladyzenskaja O.A., Solonnikov V.A., and Uralćeva N.N. Linear and Quasi-Linear Equations of Parabolic Type. Transl. Math. Monogr. vol. 23 (1968), American Mathematical Society, Providence, RI
    • (1968) Transl. Math. Monogr. , vol.23
    • Ladyzenskaja, O.A.1    Solonnikov, V.A.2    Uralćeva, N.N.3
  • 15
    • 35348995888 scopus 로고    scopus 로고
    • F. Murat, Soluciones renormalizadas de edp elipticas no lineales, Prépublication du Laboratoire d'Analyse Numérique, Université de Paris 6, 93023, 1993
  • 19
    • 0003010532 scopus 로고
    • The development, testing and application of a numerical simulator for predicting miscible flood performance
    • Todd M.R., and Longstaff W.J. The development, testing and application of a numerical simulator for predicting miscible flood performance. SPEJ Trans. AIME 253 (1972) 984-998
    • (1972) SPEJ Trans. AIME , vol.253 , pp. 984-998
    • Todd, M.R.1    Longstaff, W.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.