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Volumn 21, Issue 1, 2009, Pages 117-125

A geometric condition implying an energy equality for solutions of the 3D navier-stokes equation

Author keywords

Energy equality; Navier Stokes equations; Weak solutions

Indexed keywords


EID: 60349121725     PISSN: 10407294     EISSN: 15729222     Source Type: Journal    
DOI: 10.1007/s10884-008-9124-3     Document Type: Article
Times cited : (19)

References (17)
  • 1
    • 21844513548 scopus 로고
    • p n. Chin. Ann. Math
    • Ser. B Ann. Math. Ser. A 16(6), 797 (1995)
    • p n. Chin. Ann. Math. Ser. B 16(4), 407-412 (1995). A Chinese summary appears in Chin. Ann. Math. Ser. A 16(6), 797 (1995)
    • (1995) A Chinese Summary Appears in Chin , vol.16 , Issue.4 , pp. 407-412
    • Beir, A.1    Da Veiga, H.2
  • 2
    • 84990576577 scopus 로고
    • Partial regularity of suitable weak solutions of the Navier-Stokes equations
    • 6
    • L. Caffarelli R. Kohn L. Nirenberg 1982 Partial regularity of suitable weak solutions of the Navier-Stokes equations Commun. Pure Appl. Math. 35 6 771 831
    • (1982) Commun. Pure Appl. Math. , vol.35 , pp. 771-831
    • Caffarelli, L.1    Kohn, R.2    Nirenberg, L.3
  • 4
    • 60349095099 scopus 로고    scopus 로고
    • Submitted (2007 Equations Navier-Stokes 3d The Of Solutions Weak For Equality Energy O.Th
    • Cheskidov, A., Friedlander, S., Shvydkoy, R.: On the energy equality for weak solutions of the 3D Navier-Stokes equations (2007, submitted)
    • Cheskidov, A.1    Friedlander, S.2    Shvydkoy, R.3
  • 5
    • 21844522201 scopus 로고
    • Onsager's conjecture on the energy conservation for solutions of Euler's equation
    • 1
    • P. Constantin E. Weinan E.S. Titi 1994 Onsager's conjecture on the energy conservation for solutions of Euler's equation Commun. Math. Phys. 165 1 207 209
    • (1994) Commun. Math. Phys. , vol.165 , pp. 207-209
    • Constantin, P.1    Weinan, E.2    Titi, E.S.3
  • 6
    • 0033630156 scopus 로고    scopus 로고
    • Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
    • 1
    • J. Duchon R. Robert 2000 Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations Nonlinearity 13 1 249 255
    • (2000) Nonlinearity , vol.13 , pp. 249-255
    • Duchon, J.1    Robert, R.2
  • 7
    • 33744802345 scopus 로고    scopus 로고
    • Role of the pressure for validity of the energy equality for solutions of the Navier-Stokes equation
    • 2
    • I. Kukavica 2006 Role of the pressure for validity of the energy equality for solutions of the Navier-Stokes equation J. Dynam. Differ. Equ. 18 2 461 482
    • (2006) J. Dynam. Differ. Equ. , vol.18 , pp. 461-482
    • Kukavica, I.1
  • 9
    • 51249193194 scopus 로고
    • Sur le mouvement d'un liquide visqueux emplissant l'espace
    • 1
    • J. Leray 1934 Sur le mouvement d'un liquide visqueux emplissant l'espace Acta Math. 63 1 193 248
    • (1934) Acta Math. , vol.63 , pp. 193-248
    • Leray, J.1
  • 10
    • 0032344639 scopus 로고    scopus 로고
    • A new proof of the Caffarelli-Kohn-Nirenberg theorem
    • 3
    • F. Lin 1998 A new proof of the Caffarelli-Kohn-Nirenberg theorem Commun. Pure Appl. Math. 51 3 241 257
    • (1998) Commun. Pure Appl. Math. , vol.51 , pp. 241-257
    • Lin, F.1
  • 11
    • 0042597989 scopus 로고
    • Sur la régularité et l'unicité des solutions turbulentes des équations de Navier Stokes
    • J.L. Lions 1960 Sur la régularité et l'unicité des solutions turbulentes des équations de Navier Stokes Rend. Sem. Mat. Univ. Padova 30 16 23
    • (1960) Rend. Sem. Mat. Univ. Padova , vol.30 , pp. 16-23
    • Lions, J.L.1
  • 12
    • 84972517978 scopus 로고
    • Partial regularity of solutions to the Navier-Stokes equations
    • 2
    • V. Scheffer 1976 Partial regularity of solutions to the Navier-Stokes equations Pacific J. Math. 66 2 535 552
    • (1976) Pacific J. Math. , vol.66 , pp. 535-552
    • Scheffer, V.1
  • 13
    • 0002117826 scopus 로고
    • Hausdorff measure and the Navier-Stokes equations
    • 2
    • V. Scheffer 1977 Hausdorff measure and the Navier-Stokes equations Commun. Math. Phys. 55 2 97 112
    • (1977) Commun. Math. Phys. , vol.55 , pp. 97-112
    • Scheffer, V.1
  • 14
    • 0001881423 scopus 로고
    • The Navier-Stokes equations on a bounded domain
    • 1
    • V. Scheffer 1980 The Navier-Stokes equations on a bounded domain Commun. Math. Phys. 73 1 1 42
    • (1980) Commun. Math. Phys. , vol.73 , pp. 1-42
    • Scheffer, V.1
  • 15
    • 0001807443 scopus 로고
    • the initial value problem for the Navier-Stokes equations
    • University of Wisconsin Press, Madison, Wis
    • Serrin, J.: The initial value problem for the Navier-Stokes equations. In: Nonlinear Problems (Proc. Sympos., Madison, Wis.), pp. 69-98. University of Wisconsin Press, Madison, Wis. (1963)
    • (1963) Nonlinear Problems (Proc. Sympos., Madison, Wis.) , pp. 69-98
    • Serrin, J.1
  • 16
    • 0009331873 scopus 로고
    • The energy equation for the Navier-Stokes system
    • M. Shinbrot 1974 The energy equation for the Navier-Stokes system SIAM J. Math. Anal. 5 948 954
    • (1974) SIAM J. Math. Anal. , vol.5 , pp. 948-954
    • Shinbrot, M.1
  • 17
    • 0011968533 scopus 로고
    • On the regularity of the pressure of weak solutions of Navier-Stokes equations
    • 5
    • H. Sohr W. von Wahl 1986 On the regularity of the pressure of weak solutions of Navier-Stokes equations Arch. Math. (Basel) 46 5 428 439
    • (1986) Arch. Math. (Basel) , vol.46 , pp. 428-439
    • Sohr, H.1    Von Wahl, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.