메뉴 건너뛰기




Volumn 210, Issue 3, 2000, Pages 541-603

Weak solutions with decreasing energy of incompressible euler equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034349858     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050791     Document Type: Article
Times cited : (142)

References (20)
  • 1
    • 84968509316 scopus 로고
    • The least action principle and the related concept of generalized flow for incompressible perfect fluids
    • [B1] Brenier, Y.: The least action principle and the related concept of generalized flow for incompressible perfect fluids. J. Am. Math. Soc. 2 no 2, 225-255 (1989)
    • (1989) J. Am. Math. Soc. , vol.2 , Issue.2 , pp. 225-255
    • Brenier, Y.1
  • 2
    • 0041047532 scopus 로고    scopus 로고
    • A homogenized model for vortex sheet
    • [B2] Brenier, Y.: A homogenized model for vortex sheet. Arch. Rat Mech. Anal. 138 no 4, 319-363 (1997)
    • (1997) Arch. Rat Mech. Anal. , vol.138 , Issue.4 , pp. 319-363
    • Brenier, Y.1
  • 3
    • 0001454943 scopus 로고    scopus 로고
    • Sticky particles and scalar conservation laws
    • [BG] Brenier, Y., Grenier, E.: Sticky particles and scalar conservation laws. SIAM J. Numer. Anal., 35 no 6, 2317-2328 (1998)
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.6 , pp. 2317-2328
    • Brenier, Y.1    Grenier, E.2
  • 4
    • 21844522201 scopus 로고
    • Onsager's conjecture on the energy conservation for solutions of the Euler's equations
    • [CET] Constantin, P., E, W., Titi, E.: Onsager's conjecture on the energy conservation for solutions of the Euler's equations. Commun. Math. Phys., 165 no 1, 207-209 (1994)
    • (1994) Commun. Math. Phys. , vol.165 , Issue.1 , pp. 207-209
    • Constantin, P.E.W.1    Titi, E.2
  • 5
    • 0033630156 scopus 로고    scopus 로고
    • Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
    • To appear in
    • [DR] Duchon, J., Robert, R.: Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations. To appear in Nonlinearity
    • Nonlinearity
    • Duchon, J.1    Robert, R.2
  • 6
    • 0001766126 scopus 로고    scopus 로고
    • Generalized variational principles, global weak solutions and behavior with random initial data for systems of consevation laws arising in adhesion particle dynamics
    • E, W.
    • [ERS] E, W., Rykov, Yu.G., Sinai, Ya.G.: Generalized Variational Principles, Global Weak Solutions and Behavior with Random Initial Data for Systems of Consevation Laws Arising in Adhesion Particle Dynamics. Commun. Math. Phys. 177 no 2, 349-380 (1996)
    • (1996) Commun. Math. Phys. , vol.177 , Issue.2 , pp. 349-380
    • Rykov, Y.G.1    Sinai, Y.G.2
  • 7
    • 0002205604 scopus 로고
    • Energy dissipation without viscosity in the ideal hydrodynamics I. Fourier analysis and local energy transfer
    • [E] Eyink, G.: Energy dissipation without viscosity in the ideal hydrodynamics I. Fourier analysis and local energy transfer. Phys. D, 78 no 3-4, 222-240 (1994)
    • (1994) Phys. D , vol.78 , Issue.3-4 , pp. 222-240
    • Eyink, G.1
  • 8
    • 0001178463 scopus 로고
    • The analysis of linear partial differential operators, III. Pseudodifferential operators
    • Berlin-New York: Springer-Verlag
    • [H] Hörmander, L.: The analysis of linear partial differential operators, III. Pseudodifferential operators. Grundlehren der Mathematischen Wissenschaften, 274, Berlin-New York: Springer-Verlag, 1985
    • (1985) Grundlehren der Mathematischen Wissenschaften , vol.274
    • Hörmander, L.1
  • 9
    • 51249192666 scopus 로고
    • Statistical hydrodynamics
    • Supplemento No. 2 (Converno Internationale di Meccanica Statistica)
    • [O] Onsager, L.: Statistical hydrodynamics. Nuovo Cimento (9) Supplemento No. 2 (Converno Internationale di Meccanica Statistica), 6, 279-287 (1949)
    • (1949) Nuovo Cimento , vol.6 , Issue.9 , pp. 279-287
    • Onsager, L.1
  • 10
    • 0033482299 scopus 로고    scopus 로고
    • Optimization, relaxation and Young measures
    • [P] Pedregal, P.: Optimization, relaxation and Young measures. Bull. Am. Math. Soc. (New Series), 36 no 1, 27-58 (1999)
    • (1999) Bull. Am. Math. Soc. (New Series) , vol.36 , Issue.1 , pp. 27-58
    • Pedregal, P.1
  • 11
    • 0001768220 scopus 로고
    • An inviscid flow with compact support in space-time
    • [Seh] Scheffer, V.: An inviscid flow with compact support in space-time. J. Geom. Anal. 3 no 4, 343-401 (1993)
    • (1993) J. Geom. Anal. , vol.3 , Issue.4 , pp. 343-401
    • Scheffer, V.1
  • 13
    • 0031491102 scopus 로고    scopus 로고
    • On the nonuniqueness of weak solution of the Euler equations
    • [Sh1] Shnirelman, A.: On the nonuniqueness of weak solution of the Euler equations. Comm. Pure Appl. Math. 50 no 12, 1261-1286 (1997)
    • (1997) Comm. Pure Appl. Math. , vol.50 , Issue.12 , pp. 1261-1286
    • Shnirelman, A.1
  • 14
    • 0002479515 scopus 로고
    • On the geometry of the group of diffeomorphisms and the dynamics of an ideal incompresible fluid
    • Russian no. 1, English translation: Math. USSR Sbornik 56 no 1, 79-105 (1987)
    • [Sh2] Shnirelman, A.: On the geometry of the group of diffeomorphisms and the dynamics of an ideal incompresible fluid. (Russian). Mat. Sb. (N. S.) 128 (170), no. 1, 82-109 (1985); English translation: Math. USSR Sbornik 56 no 1, 79-105 (1987)
    • (1985) Mat. Sb. (N. S.) , vol.128 , Issue.170 , pp. 82-109
    • Shnirelman, A.1
  • 15
    • 0001586642 scopus 로고
    • Generalized fluid flows, their approximation and applications
    • [Sh3] Shnirelman, A.: Generalized fluid flows, their approximation and applications. Geom. Funct. Anal. 4 no 5, 586-620 (1994)
    • (1994) Geom. Funct. Anal. , vol.4 , Issue.5 , pp. 586-620
    • Shnirelman, A.1
  • 16
    • 34249839748 scopus 로고
    • Statistics of shocks in solutions of inviscid Burgers equations
    • [Si] Sinai, Ya.G.: Statistics of shocks in solutions of inviscid Burgers equations. Commun. Math. Phys. 148 no 3, 601-622 (1992)
    • (1992) Commun. Math. Phys. , vol.148 , Issue.3 , pp. 601-622
    • Sinai, Y.G.1
  • 17
    • 0000725751 scopus 로고
    • A collection of mathematical problems
    • New York-London: Interscience Publishers
    • [U] Ulam, S.M.: A collection of mathematical problems. Interscience Tracts on Pure and Applied Mathematics, No 8, New York-London: Interscience Publishers, 1960
    • (1960) Interscience Tracts on Pure and Applied Mathematics , vol.8
    • Ulam, S.M.1
  • 18
    • 0001672917 scopus 로고
    • Burgers' equation, devil's staircases and the mass distribution function for large-scale structures
    • [VDFM] Vergasola, M., Dubrulle, B., Frisch, U., Noullez, A.: Burgers' equation, devil's staircases and the mass distribution function for large-scale structures. Astron. & Astrophys. 289, 325-356 (1994)
    • (1994) Astron. & Astrophys. , vol.289 , pp. 325-356
    • Vergasola, M.1    Dubrulle, B.2    Frisch, U.3    Noullez, A.4
  • 20
    • 0002320511 scopus 로고
    • Gravitational instability:An approximate theory for large density perturbations
    • [Z] Zeldovich, Ya.B.: Gravitational instability:An approximate theory for large density perturbations. Astron. & Astrophys. 5, 84-89 (1970)
    • (1970) Astron. & Astrophys. , vol.5 , pp. 84-89
    • Zeldovich, Y.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.