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Volumn 86, Issue 4, 2006, Pages 362-368

On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models

Author keywords

Approximate solutions; Compressible Navier Stokes equations; Free surface; Heat conductivity; Saint Venant; Shallow water

Indexed keywords


EID: 33748677049     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matpur.2006.06.005     Document Type: Article
Times cited : (170)

References (16)
  • 1
  • 4
    • 0038174797 scopus 로고    scopus 로고
    • On some compressible fluid models: Korteweg, lubrication and shallow water systems
    • Bresch D., Desjardins B., and Lin C.-K. On some compressible fluid models: Korteweg, lubrication and shallow water systems. Comm. Partial Differential Equations 28 3-4 (2003) 1009-1037
    • (2003) Comm. Partial Differential Equations , vol.28 , Issue.3-4 , pp. 1009-1037
    • Bresch, D.1    Desjardins, B.2    Lin, C.-K.3
  • 5
    • 0037998763 scopus 로고    scopus 로고
    • Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
    • Bresch D., and Desjardins B. Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model. Comm. Math. Phys. 238 1-2 (2003) 211-223
    • (2003) Comm. Math. Phys. , vol.238 , Issue.1-2 , pp. 211-223
    • Bresch, D.1    Desjardins, B.2
  • 6
    • 33748710949 scopus 로고    scopus 로고
    • D. Bresch, B. Desjardins, G. Métivier, Recent mathematical results and open problems around shallow water equations, J. Math. Fluid Mech. (2006), in press
  • 7
    • 33748686482 scopus 로고    scopus 로고
    • D. Bresch, B. Desjardins, On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids, 2005, in preparation
  • 8
    • 33748692325 scopus 로고    scopus 로고
    • D. Bresch, B. Desjardins, J.-M. Ghidaglia, Mathematical properties of the basic two-fluid model, in preparation
  • 9
    • 0009933535 scopus 로고    scopus 로고
    • Derivation of viscous Saint-Venant system for laminar shallow water; Numerical results
    • Gerbeau F., and Perthame B. Derivation of viscous Saint-Venant system for laminar shallow water; Numerical results. Discrete Contin. Dynam. Syst. Ser. B 1 1 (2001) 89-102
    • (2001) Discrete Contin. Dynam. Syst. Ser. B , vol.1 , Issue.1 , pp. 89-102
    • Gerbeau, F.1    Perthame, B.2
  • 10
    • 0002597511 scopus 로고    scopus 로고
    • Mathematical Topics in Fluid Dynamics
    • Oxford Univ. Press
    • Lions P.-L. Mathematical Topics in Fluid Dynamics. Compressible Models vol. 2 (1998), Oxford Univ. Press
    • (1998) Compressible Models , vol.2
    • Lions, P.-L.1
  • 11
    • 33748709347 scopus 로고    scopus 로고
    • F. Marche, Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects, Europ. J. Mech. B/Fluids (2006), in press
  • 12
    • 33748688098 scopus 로고    scopus 로고
    • A. Mellet, A. Vasseur, On the isentropic compressible Navier-Stokes equation, Comm. Partial Differential Equations (2006), in press
  • 13
    • 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. 130 2 (1995) 183-204
    • (1995) Arch. Rat. Mech. Anal. , vol.130 , Issue.2 , pp. 183-204
    • Orenga, P.1
  • 15
    • 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. 202 1 (1996) 236-258
    • (1996) J. Math. Anal. Appl. , vol.202 , Issue.1 , pp. 236-258
    • Sundbye, L.1
  • 16
    • 33748686262 scopus 로고    scopus 로고
    • J.-P. Vila, Private communication


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.