메뉴 건너뛰기




Volumn 28, Issue 3-4, 2003, Pages 843-868

On some compressible fluid models: Korteweg, lubrication, and shallow water systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0038174797     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-120020499     Document Type: Article
Times cited : (454)

References (24)
  • 2
    • 84973066506 scopus 로고
    • On the shallow water equations at low Reynolds number
    • Bernardi C, Pironneau O. On the shallow water equations at low Reynolds number. Comm Partial Diff Eqs 1991; 16:59-104.
    • (1991) Comm Partial Diff Eqs , vol.16 , pp. 59-104
    • Bernardi, C.1    Pironneau, O.2
  • 3
    • 0000019424 scopus 로고    scopus 로고
    • The mathematics of moving contact lines in thin liquid films
    • Bertozzi AL. The mathematics of moving contact lines in thin liquid films. Notices of Amer Math Soc 1998; 45(6):689-697.
    • (1998) Notices of Amer Math Soc , vol.45 , Issue.6 , pp. 689-697
    • Bertozzi, A.L.1
  • 4
    • 0000258893 scopus 로고    scopus 로고
    • On the bursting of viscous films
    • Brenner M, Gueyffier D. On the bursting of viscous films. Phys Fluids 1999; 11 (3):737-739.
    • (1999) Phys Fluids , vol.11 , Issue.3 , pp. 737-739
    • Brenner, M.1    Gueyffier, D.2
  • 5
    • 0004673485 scopus 로고    scopus 로고
    • Existence of solutions for compressible fluid models of Korteweg type
    • Danchin R, Desjardins B. Existence of solutions for compressible fluid models of Korteweg type. Annales de l'IHP Analyse non linéaire 2001; 18:97-133.
    • (2001) Annales de l'IHP Analyse non Linéaire , vol.18 , pp. 97-133
    • Danchin, R.1    Desjardins, B.2
  • 6
    • 0034355083 scopus 로고    scopus 로고
    • On weak solutions for fluid-rigid structure interaction: Compressible and incompressible models
    • Desjardins B, Esteban MJ. On weak solutions for fluid-rigid structure interaction: compressible and incompressible models. Comm Partial Diff Eqs 2000; 25(7-8):1399-1413.
    • (2000) Comm Partial Diff Eqs , vol.25 , Issue.7-8 , pp. 1399-1413
    • Desjardins, B.1    Esteban, M.J.2
  • 7
    • 0021788792 scopus 로고
    • On the thermodynamics of interstitial working
    • Dunn JE, Serrin J. On the thermodynamics of interstitial working. Arch Rational Mech Anal 1985; 88(2):95-133.
    • (1985) Arch Rational Mech Anal , vol.88 , Issue.2 , pp. 95-133
    • Dunn, J.E.1    Serrin, J.2
  • 8
    • 36449004332 scopus 로고
    • Nonlinear rupture of free films
    • Erneux T, Davis SH. Nonlinear rupture of free films. Phys Fluids 1993; 5:1117-1124.
    • (1993) Phys Fluids , vol.5 , pp. 1117-1124
    • Erneux, T.1    Davis, S.H.2
  • 9
    • 0009933535 scopus 로고    scopus 로고
    • Derivation of viscous Saint-Venant system for laminar shallow water; numerical results
    • Gerbeau F, Perthame B. Derivation of viscous Saint-Venant system for laminar shallow water; numerical results. Discrete and Continuous Dynamical Systems - Series B 2001; 1(1):89-102.
    • (2001) Discrete and Continuous Dynamical Systems - Series B , vol.1 , Issue.1 , pp. 89-102
    • Gerbeau, F.1    Perthame, B.2
  • 10
    • 0038139243 scopus 로고    scopus 로고
    • The existence of global solutions to a fluid dynamic model for materials for Korteweg type
    • Hattori H, Li D. The existence of global solutions to a fluid dynamic model for materials for Korteweg type. J Partial Differential equations 1996; 9:323-342.
    • (1996) J Partial Differential Equations , vol.9 , pp. 323-342
    • Hattori, H.1    Li, D.2
  • 11
    • 0030584308 scopus 로고    scopus 로고
    • Global solutions of a high-dimensional system for Korteweg materials
    • Hattori H, Li D. Global solutions of a high-dimensional system for Korteweg materials. J Math Anal Appl 1996; 198(1):84-97.
    • (1996) J Math Anal Appl , vol.198 , Issue.1 , pp. 84-97
    • Hattori, H.1    Li, D.2
  • 12
    • 0000519708 scopus 로고    scopus 로고
    • The second gradient method for the direct simulations of liquid vapor flows with phase change
    • Jamet D, Lebaigue O, Coutris N, Delhaye JM. The second gradient method for the direct simulations of liquid vapor flows with phase change. J Comput Phys 2001; 169(2):624-651.
    • (2001) J Comput Phys , vol.169 , Issue.2 , pp. 624-651
    • Jamet, D.1    Lebaigue, O.2    Coutris, N.3    Delhaye, J.M.4
  • 13
    • 0001799940 scopus 로고
    • Sur la forme que prennent les équations du mouvement des fluides si l'on tient compte des forces capillaires causées par des variations de densité considérables mais continues et sur la théorie de la capillarité dans l'hypothèse d'une variation continue de la densité
    • Korteweg DJ. Sur la forme que prennent les équations du mouvement des fluides si l'on tient compte des forces capillaires causées par des variations de densité considérables mais continues et sur la théorie de la capillarité dans l'hypothèse d'une variation continue de la densité. Archives Néerlandaises de Sciences Exactes et Naturelles 1901; 1-24.
    • (1901) Archives Néerlandaises de Sciences Exactes et Naturelles , pp. 1-24
    • Korteweg, D.J.1
  • 14
    • 0035511348 scopus 로고    scopus 로고
    • A shallow water model with eddy viscosity for basins with varying bottom topography
    • Levermore CD, Sammartino M. A shallow water model with eddy viscosity for basins with varying bottom topography. Nonlinearity 2001; 14(6):1493-1515.
    • (2001) Nonlinearity , vol.14 , Issue.6 , pp. 1493-1515
    • Levermore, C.D.1    Sammartino, M.2
  • 15
    • 0011299391 scopus 로고    scopus 로고
    • Potential flow for the compressible viscous flow and its incompressible limit
    • Lin CK. Potential flow for the compressible viscous flow and its incompressible limit. Indiana Univ Math J 2000; 49(4): 1539-1561.
    • (2000) Indiana Univ Math J , vol.49 , Issue.4 , pp. 1539-1561
    • Lin, C.K.1
  • 16
    • 0000572752 scopus 로고
    • Existence globale de solutions pour les équations de Navier-Stokes compressibles isentropiques
    • Lions P-L. Existence globale de solutions pour les équations de Navier-Stokes compressibles isentropiques. CR Acad Sei Paris Sér I Math 1993; 316(12): 1335-1340.
    • (1993) CR Acad Sei Paris Sér I Math , vol.316 , Issue.12 , pp. 1335-1340
    • Lions, P.-L.1
  • 17
    • 0002597511 scopus 로고    scopus 로고
    • Mathematical topics in fluid dynamics
    • Oxford University Press
    • Lions P-L. Mathematical topics in fluid dynamics. In: Compressible Models. Vol. 2. Oxford University Press, 1998.
    • (1998) Compressible Models , vol.2
    • Lions, P.-L.1
  • 19
    • 16244404505 scopus 로고
    • Un théorème d'existence de solutions d'un problème de shallow water
    • Orenga P. Un théorème d'existence de solutions d'un problème de shallow water. Arch Rat Mech Anal 1995; 130(2):183-204.
    • (1995) Arch Rat Mech Anal , vol.130 , Issue.2 , pp. 183-204
    • Orenga, P.1
  • 20
    • 0034238919 scopus 로고    scopus 로고
    • Disjoining potential and spreading of thin liquid layers in the diffuse interface model coupled to hydrodynamics
    • Pismen LM, Pomeau Y. Disjoining potential and spreading of thin liquid layers in the diffuse interface model coupled to hydrodynamics. Phys Rev E Part B 2000; 62(2):2480-2492.
    • (2000) Phys Rev E Part B , vol.62 , Issue.2 , pp. 2480-2492
    • Pismen, L.M.1    Pomeau, Y.2
  • 22
    • 0030586582 scopus 로고    scopus 로고
    • Global existence for the Dirichlet problem for the viscous shallow water equations
    • Sundbye L. Global existence for the Dirichlet problem for the viscous shallow water equations. J Math Anal Appl 1996; 202(1):236-258.
    • (1996) J Math Anal Appl , vol.202 , Issue.1 , pp. 236-258
    • Sundbye, L.1
  • 23
    • 21344439872 scopus 로고
    • On the existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid
    • Vaigant VA, Kazhikhov AV. On the existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid. Siberian Math J 1995; 36(6):1108-1141.
    • (1995) Siberian Math J , vol.36 , Issue.6 , pp. 1108-1141
    • Vaigant, V.A.1    Kazhikhov, A.V.2
  • 24
    • 0000757821 scopus 로고
    • Global solution to the potential flow equation for a compressible viscous fluid at small Reynolds numbers
    • Vaigant VA. Kazhikhov AV. Global solution to the potential flow equation for a compressible viscous fluid at small Reynolds numbers. Diff Eqs 1994; 30(6):935-947.
    • (1994) Diff Eqs , vol.30 , Issue.6 , pp. 935-947
    • Vaigant, V.A.1    Kazhikhov, A.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.