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Volumn 15, Issue 12, 2005, Pages 1845-1861

Herschel-Bulkley fluids: Existence and regularity of steady flows

Author keywords

Herschel Bulkley fluids; Interior regularity; Weak solutions

Indexed keywords


EID: 28644446670     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202505000996     Document Type: Article
Times cited : (53)

References (25)
  • 1
    • 33646883627 scopus 로고
    • Regularity for minimizers of nonquadratic functionals: The case 1 < p < 2
    • E. Acerbi and N. Fusco, Regularity for minimizers of nonquadratic functionals: The case 1 < p < 2, J. Math. Anal. Appl. 140 (1989) 115-135.
    • (1989) J. Math. Anal. Appl. , vol.140 , pp. 115-135
    • Acerbi, E.1    Fusco, N.2
  • 2
    • 0027847528 scopus 로고
    • Numerical simulation of laminar flows of yield-power-law fluids in conduits of arbitrary cross-section
    • I. Azouz, S. A. Shirazi, A. Pilehvari and J. J. Azar, Numerical simulation of laminar flows of yield-power-law fluids in conduits of arbitrary cross-section, J. Fluids Engrg. 115 (1993) 710-716.
    • (1993) J. Fluids Engrg. , vol.115 , pp. 710-716
    • Azouz, I.1    Shirazi, S.A.2    Pilehvari, A.3    Azar, J.J.4
  • 3
    • 22444452701 scopus 로고    scopus 로고
    • Generalized solutions to the equations of compressible Bingham flows
    • I. V. Basov and V. V. Shelukhin, Generalized solutions to the equations of compressible Bingham flows, Z. Angew. Math. Mech. 79 (1999) 185-192.
    • (1999) Z. Angew. Math. Mech. , vol.79 , pp. 185-192
    • Basov, I.V.1    Shelukhin, V.V.2
  • 5
    • 0000625943 scopus 로고    scopus 로고
    • On the determination of yield surfaces in Herschel-Bulkley fluids
    • G. R. Burgos, A. N. Alexandrou and V. Entov, On the determination of yield surfaces in Herschel-Bulkley fluids, J. Rheol. 43 (1999) 463-483.
    • (1999) J. Rheol. , vol.43 , pp. 463-483
    • Burgos, G.R.1    Alexandrou, A.N.2    Entov, V.3
  • 6
    • 0019592083 scopus 로고
    • Use of parallel plate plastometer for the characterization of viscous fluids with a yield stress
    • R. E. Carter and R. C. Warren, Use of parallel plate plastometer for the characterization of viscous fluids with a yield stress, J. Non-Newtonian Fluid Mech. 8 (1981) 249-260.
    • (1981) J. Non-Newtonian Fluid Mech. , vol.8 , pp. 249-260
    • Carter, R.E.1    Warren, R.C.2
  • 7
    • 0023290109 scopus 로고
    • Extrusion stresses, die swell, and viscous heating effects in double-base propellants
    • G. H. Covey and B. R. Stanmore, Extrusion stresses, die swell, and viscous heating effects in double-base propellants, J. Rheol. 31 (1987) 151-173.
    • (1987) J. Rheol. , vol.31 , pp. 151-173
    • Covey, G.H.1    Stanmore, B.R.2
  • 9
    • 23944484056 scopus 로고    scopus 로고
    • Strong solutions for generalized newtonian fluids
    • L. Diening and M. Růžička, Strong solutions for generalized newtonian fluids, J. Math. Fluid Mech. 7 (2005) 413-450.
    • (2005) J. Math. Fluid Mech. , vol.7 , pp. 413-450
    • Diening, L.1    Růžička, M.2
  • 10
    • 0004072908 scopus 로고
    • (Springer-Verlag), translated from French by C. W. John, Grundlehren der Mathematischen Wissenschaften
    • G. Duvaut and J. L. Lions, Inequalities in Mechanics and Physics (Springer-Verlag, 1976), translated from French by C. W. John, Grundlehren der Mathematischen Wissenschaften, 219.
    • (1976) Inequalities in Mechanics and Physics , pp. 219
    • Duvaut, G.1    Lions, J.L.2
  • 13
    • 27144514723 scopus 로고
    • Konsistenzmessungen an gummi-benzol-lösungen
    • W. H. Herschel and R. Bulkley, Konsistenzmessungen an Gummi-Benzol-Lösungen, Kolloid Z. 39 (1926) 291-300.
    • (1926) Kolloid Z , vol.39 , pp. 291-300
    • Herschel, W.H.1    Bulkley, R.2
  • 14
    • 0000893209 scopus 로고
    • Modifications of the Navier-Stokes equations for large gradients of the velocities
    • O. A. Ladyzhenskaya, Modifications of the Navier-Stokes equations for large gradients of the velocities, Z. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. 7 (1968) 126-154.
    • (1968) Z. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. , vol.7 , pp. 126-154
    • Ladyzhenskaya, O.A.1
  • 16
    • 0009763569 scopus 로고
    • On semigroups generated by initial-boundary value problems describing two-dimensional viscoplastic flows
    • Amer. Math. Soc.
    • O. A. Ladyzhenskaya and G. Seregin, On semigroups generated by initial-boundary value problems describing two-dimensional viscoplastic flows, Nonlinear Evolution Equations Amer. Math. Soc. Transl. Ser. 2, Vol. 164 (Amer. Math. Soc., 1995), pp. 99-123.
    • (1995) Nonlinear Evolution Equations Amer. Math. Soc. Transl. Ser. 2 , vol.164 , pp. 99-123
    • Ladyzhenskaya, O.A.1    Seregin, G.2
  • 20
    • 0000365385 scopus 로고    scopus 로고
    • On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains. The case p ≥ 2
    • J. Málek, J. Nečas and M. Růžička, On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains. The case p ≥ 2, Adv. Diff. Eqns. 6 (2001) 257-302.
    • (2001) Adv. Diff. Eqns. , vol.6 , pp. 257-302
    • Málek, J.1    Nečas, J.2    Růžička, M.3
  • 23
    • 28644447519 scopus 로고
    • On a dynamical system generated by two-dimensional equations of motion of Bingham fluid
    • G. Seregin, On a dynamical system generated by two-dimensional equations of motion of Bingham fluid, Z. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. 188 (1991) 128-142.
    • (1991) Z. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. , vol.188 , pp. 128-142
    • Seregin, G.1
  • 24
    • 28644432248 scopus 로고    scopus 로고
    • Continuity for the strain velocity tensor in two-dimensional variational problems from the theory of the Bingham fluid
    • G. Seregin, Continuity for the strain velocity tensor in two-dimensional variational problems from the theory of the Bingham fluid, Ital. J. Pure Appl. Math. (1997) 141-150.
    • (1997) Ital. J. Pure Appl. Math. , pp. 141-150
    • Seregin, G.1
  • 25
    • 29344437009 scopus 로고    scopus 로고
    • Bingham viscoplastic as a limit of non-Newtonian fluids
    • V. V. Shelukhin, Bingham viscoplastic as a limit of non-Newtonian fluids, J. Math. Fluid Mech. 4 (2002) 1-19.
    • (2002) J. Math. Fluid Mech. , vol.4 , pp. 1-19
    • Shelukhin, V.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.