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Volumn 19, Issue 12, 1996, Pages 991-1015

On variational models for quasi-static Bingham fluids

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FLOW OF FLUIDS; SET THEORY; STRAIN; STRESSES; VARIATIONAL TECHNIQUES;

EID: 0030212615     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(199608)19:12<991::AID-MMA810>3.0.CO;2-R     Document Type: Article
Times cited : (15)

References (24)
  • 3
    • 0000170338 scopus 로고
    • Blowup, compactness and partial regularity in the calculus of variations
    • Evans, L. C. and Gariepy, R. F., 'Blowup, compactness and partial regularity in the calculus of variations', Indiana Univ. Math. J., 36, 361-371 (1987).
    • (1987) Indiana Univ. Math. J. , vol.36 , pp. 361-371
    • Evans, L.C.1    Gariepy, R.F.2
  • 4
    • 0000390501 scopus 로고
    • Existence theorems in elasticity, and unilateral constraints in elasticity
    • Springer Verlag, Berlin
    • Fichera, G., 'Existence theorems in elasticity, and unilateral constraints in elasticity', Handbuch der Physik, VIa, 347-424, Springer Verlag, Berlin, 1972.
    • (1972) Handbuch der Physik , vol.6 A , pp. 347-424
    • Fichera, G.1
  • 5
    • 0000606420 scopus 로고
    • On the boundary value problems of the theory of elasticity and Korn's inequality
    • Friedrichs, K. O., 'On the boundary value problems of the theory of elasticity and Korn's inequality', Ann. Math., 48, 441-471 (1947).
    • (1947) Ann. Math. , vol.48 , pp. 441-471
    • Friedrichs, K.O.1
  • 6
    • 0346958328 scopus 로고
    • On stationary incompressible Norton fluids and some extensions of Korn's inequality
    • Fuchs, M., 'On stationary incompressible Norton fluids and some extensions of Korn's inequality', J. Analysis Appl. ZAA, 13, 191-197 (1994).
    • (1994) J. Analysis Appl. ZAA , vol.13 , pp. 191-197
    • Fuchs, M.1
  • 7
    • 0028464835 scopus 로고
    • Regularity for a class of variational integrals motivated by non-linear elasticity
    • Fuchs, M., 'Regularity for a class of variational integrals motivated by non-linear elasticity', Asymp. Anal., 9, 23-38 (1994).
    • (1994) Asymp. Anal. , vol.9 , pp. 23-38
    • Fuchs, M.1
  • 8
    • 51249164634 scopus 로고
    • Partial regularity for certain classes of polyconvex functionals related to non-linear elasticity
    • Fuchs, M. and Reuling, J., 'Partial regularity for certain classes of polyconvex functionals related to non-linear elasticity', Manuscripta Math., 87, 13-26 (1995).
    • (1995) Manuscripta Math. , vol.87 , pp. 13-26
    • Fuchs, M.1    Reuling, J.2
  • 9
    • 0002816568 scopus 로고
    • An Introduction to the Mathematical Theory of the Navier-Stokes equations
    • Springer, New York
    • Galdi, G., An Introduction to the Mathematical Theory of the Navier-Stokes equations, Vol. I, Springer Tracts in Natural Philosophy Vol. 38, Springer, New York, 1994.
    • (1994) Springer Tracts in Natural Philosophy , vol.1-38
    • Galdi, G.1
  • 11
    • 84941485763 scopus 로고
    • Nonlinear systems of the type of the stationary Navier-Stokes system
    • Giaquinta, M. and Modica, G., 'Nonlinear systems of the type of the stationary Navier-Stokes system', J. Reine Angew. Math., 330, 173-214 (1982).
    • (1982) J. Reine Angew. Math. , vol.330 , pp. 173-214
    • Giaquinta, M.1    Modica, G.2
  • 13
    • 84972539431 scopus 로고
    • Variational inequalities of Bingham type in three dimensions
    • Kato, Y., 'Variational inequalities of Bingham type in three dimensions', Nagoya Math. J., 129, 53-95 (1993).
    • (1993) Nagoya Math. J. , vol.129 , pp. 53-95
    • Kato, Y.1
  • 14
    • 84966216094 scopus 로고
    • On the initial-boundary value problem for a Bingham fluid in a three-dimensional domain
    • Kim, J. U., 'On the initial-boundary value problem for a Bingham fluid in a three-dimensional domain', Trans. AMS, 304, 751-770 (1987).
    • (1987) Trans. AMS , vol.304 , pp. 751-770
    • Kim, J.U.1
  • 15
    • 0010951670 scopus 로고
    • Die Eigenschwingungen eines elastischen Körpers mit ruhender Oberfläche
    • Ber.
    • Korn, A., 'Die Eigenschwingungen eines elastischen Körpers mit ruhender Oberfläche', Akad. Wiss. München, Math.-Phys. Kl, Ber. 36, 351-401 (1906).
    • (1906) Akad. Wiss. München, Math.-Phys. Kl , vol.36 , pp. 351-401
    • Korn, A.1
  • 16
    • 0013260956 scopus 로고
    • Über einige Ungleichungen, welche in der Theorie der elastischen und elektrischen Schwingungen eine Rolle spielen
    • Korn, A., 'Über einige Ungleichungen, welche in der Theorie der elastischen und elektrischen Schwingungen eine Rolle spielen', Bull. ist. Cracovie Akad. umiejet, Classe sci. math. nat., 705-724 (1909).
    • (1909) Bull. Ist. Cracovie Akad. Umiejet, Classe Sci. Math. Nat. , pp. 705-724
    • Korn, A.1
  • 17
    • 21244432112 scopus 로고
    • On the correctness of boundary value problems in the mechanics of continuous media
    • Mosolov, P. P. and Mjasnikov, V. P., 'On the correctness of boundary value problems in the mechanics of continuous media', Mat. Sbornik, 88, 130-141 (1972),
    • (1972) Mat. Sbornik , vol.88 , pp. 130-141
    • Mosolov, P.P.1    Mjasnikov, V.P.2
  • 18
    • 84956104514 scopus 로고
    • Engl. Transl.
    • (Engl. Transl. Math. USSR Sbornik, 17, 257-268 (1972)).
    • (1972) Math. USSR Sbornik , vol.17 , pp. 257-268
  • 19
    • 25844510238 scopus 로고
    • On differential properties of extremals of variational problems of the mechanics of viscoplastic media
    • Seregin, G. A., 'On differential properties of extremals of variational problems of the mechanics of viscoplastic media', Trudi Matem. Inst. Steklov, 188, 117-141 (1990),
    • (1990) Trudi Matem. Inst. Steklov , vol.188 , pp. 117-141
    • Seregin, G.A.1
  • 20
    • 0040708116 scopus 로고
    • Engl. Transl.
    • (Engl. Transl. Proc. Steklov Inst. Math., 3, 147-157 (1991)).
    • (1991) Proc. Steklov Inst. Math. , vol.3 , pp. 147-157
  • 22
    • 0019228010 scopus 로고
    • Functions of bounded deformation
    • Temam, R. and Strang, G., 'Functions of bounded deformation', Arch. Rat. Mech. Anal., 75, 7-21 (1980).
    • (1980) Arch. Rat. Mech. Anal. , vol.75 , pp. 7-21
    • Temam, R.1    Strang, G.2
  • 23
    • 0000968617 scopus 로고
    • Regularity for a class of nonlinear elliptic systems
    • Uhlenbeck, K., 'Regularity for a class of nonlinear elliptic systems', Acta Math., 138, 219-240 (1977).
    • (1977) Acta Math. , vol.138 , pp. 219-240
    • Uhlenbeck, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.