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Volumn 165, Issue 13-14, 2010, Pages 712-732

Shallow Water equations for Non-Newtonian fluids

Author keywords

Asymptotic analysis; Bingham fluids; Lubrication models; Power law fluids; Shallow Water equations; Stability criteria

Indexed keywords

ARBITRARY TOPOGRAPHY; ASYMPTOTIC EXPANSION; BINGHAM FLUID; DISCHARGE RATES; FREE SURFACES; INCLINED PLANES; LUBRICATION MODELS; MOMENTUM EQUATION; NEIGHBOURHOOD; NEWTONIAN FLUIDS; NON-NEWTONIAN FLUIDS; OPEN PROBLEMS; POWER LAW FLUID; SHALLOW WATER EQUATIONS; SHALLOW WATER MODEL; SHALLOW WATERS; STEADY SOLUTION; THIN LAYERS; WELLPOSEDNESS;

EID: 77953234473     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2010.03.008     Document Type: Article
Times cited : (63)

References (20)
  • 4
    • 0000374252 scopus 로고
    • Long waves on liquid films
    • Benney D.J. Long waves on liquid films. J. Math. Phys. (N. Y.) 1966, 45:50-155.
    • (1966) J. Math. Phys. (N. Y.) , vol.45 , pp. 50-155
    • Benney, D.J.1
  • 5
    • 42649092093 scopus 로고    scopus 로고
    • Shallow water equations for Newtonian fluids over arbitrary topographies
    • Boutounet M., Chupin L., Noble P., Vila J.-P. Shallow water equations for Newtonian fluids over arbitrary topographies. Comm. Math. Sci. 2008, 6(1):29-55.
    • (2008) Comm. Math. Sci. , vol.6 , Issue.1 , pp. 29-55
    • Boutounet, M.1    Chupin, L.2    Noble, P.3    Vila, J.-P.4
  • 6
    • 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., Desjardins B. Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model. Comm. Math. Phys. 2003, 238(1-2):211-223.
    • (2003) Comm. Math. Phys. , vol.238 , Issue.1-2 , pp. 211-223
    • Bresch, D.1    Desjardins, B.2
  • 7
    • 0038174797 scopus 로고    scopus 로고
    • On some compressible fluid models: Korteweg, lubrication, and shallow water systems
    • Bresch D., Desjardins B., Lin C.-K. On some compressible fluid models: Korteweg, lubrication, and shallow water systems. Comm. Partial Different. Eq. 2003, 28(3-4):843-868.
    • (2003) Comm. Partial Different. Eq. , vol.28 , Issue.3-4 , pp. 843-868
    • Bresch, D.1    Desjardins, B.2    Lin, C.-K.3
  • 8
    • 77953240591 scopus 로고    scopus 로고
    • Augmented Lagrangian method and compressible visco-plasctic flows: applications to shallow dense avalanches, submitted for publication
    • D. Bresch, E.D. Fernández-Nieto, I. Ionescu, P. Vigneaux, Augmented Lagrangian method and compressible visco-plasctic flows: applications to shallow dense avalanches, submitted for publication.
    • Bresch, D.1    Fernández-Nieto, E.D.2    Ionescu, I.3    Vigneaux, P.4
  • 9
    • 66049136817 scopus 로고    scopus 로고
    • Mathematical justification of a shallow water model
    • Bresch D., Noble P. Mathematical justification of a shallow water model. Methods Appl. Anal. 2007, 14(2):87-118.
    • (2007) Methods Appl. Anal. , vol.14 , Issue.2 , pp. 87-118
    • Bresch, D.1    Noble, P.2
  • 11
    • 0009933535 scopus 로고    scopus 로고
    • Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation
    • Gerbeau J.-F., Perthame B. Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation. Discrete Contin. Dyn. Syst. Ser. B 2001, 1(1):89-102.
    • (2001) Discrete Contin. Dyn. Syst. Ser. B , vol.1 , Issue.1 , pp. 89-102
    • Gerbeau, J.-F.1    Perthame, B.2
  • 12
    • 0032204470 scopus 로고    scopus 로고
    • A Herschel Bulkley model for mud flow down a slope
    • Huang X., Garcia M.H. A Herschel Bulkley model for mud flow down a slope. J. Fluid Mech. 1998, 374(01):305-333.
    • (1998) J. Fluid Mech. , vol.374 , Issue.1 , pp. 305-333
    • Huang, X.1    Garcia, M.H.2
  • 13
    • 0141569219 scopus 로고    scopus 로고
    • Shallow water theory for arbitrary slopes of the bottom
    • Keller J.B. Shallow water theory for arbitrary slopes of the bottom. J. Fluid Mech. 2003, 489:345-348.
    • (2003) J. Fluid Mech. , vol.489 , pp. 345-348
    • Keller, J.B.1
  • 14
    • 0028384797 scopus 로고
    • Roll waves on a shallow layer of mud modelled as a power-law fluid
    • Ng C.-O., Mei C.C. Roll waves on a shallow layer of mud modelled as a power-law fluid. J. Fluid Mech. 1994, 263:151-183.
    • (1994) J. Fluid Mech. , vol.263 , pp. 151-183
    • Ng, C.-O.1    Mei, C.C.2
  • 15
    • 0030195765 scopus 로고    scopus 로고
    • Flow of a yield stress fluid in a long domain. Application to flow on an inclined plane
    • Piau J.-M. Flow of a yield stress fluid in a long domain. Application to flow on an inclined plane. J. Rheol. 1996, 40(4):711-723.
    • (1996) J. Rheol. , vol.40 , Issue.4 , pp. 711-723
    • Piau, J.-M.1
  • 16
    • 0020829094 scopus 로고
    • On solitary waves running down on inclined plane
    • Pumir A., Manneville P., Pomeau Y. On solitary waves running down on inclined plane. J. Fluid Mech. 1983, 135:27-50.
    • (1983) J. Fluid Mech. , vol.135 , pp. 27-50
    • Pumir, A.1    Manneville, P.2    Pomeau, Y.3
  • 17
    • 0000363773 scopus 로고    scopus 로고
    • Modeling film flows down inclined plane
    • Ruyer-Quil C., Manneville P. Modeling film flows down inclined plane. Eur. Phys. J. B 1998, 6:277-298.
    • (1998) Eur. Phys. J. B , vol.6 , pp. 277-298
    • Ruyer-Quil, C.1    Manneville, P.2
  • 18
    • 0000232672 scopus 로고    scopus 로고
    • Improved modeling of flows down inclined plane
    • Ruyer-Quil C., Manneville P. Improved modeling of flows down inclined plane. Eur. Phys. J. B 2000, 15:357-369.
    • (2000) Eur. Phys. J. B , vol.15 , pp. 357-369
    • Ruyer-Quil, C.1    Manneville, P.2
  • 19
    • 0001778457 scopus 로고
    • Wave conditions in the flow of a thin layer of a viscous liquid under the action of gravity
    • Shkadov V.Y. Wave conditions in the flow of a thin layer of a viscous liquid under the action of gravity. Izv. Ak. Nauk SSSR, Mekh. Zhi. Gaza 1967, 2:43-51.
    • (1967) Izv. Ak. Nauk SSSR, Mekh. Zhi. Gaza , vol.2 , pp. 43-51
    • Shkadov, V.Y.1
  • 20
    • 77953279070 scopus 로고    scopus 로고
    • A two moments closure of shallow water type for gravity driven flows, in preparation
    • J.-P. Vila, A two moments closure of shallow water type for gravity driven flows, in preparation.
    • Vila, J.-P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.