메뉴 건너뛰기




Volumn 22, Issue 3, 2010, Pages 2-7

Energy dissipation and resolution of steep gradients in one-dimensional Burgers flows

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); ENERGY DISSIPATION; FOURIER SERIES; LYAPUNOV METHODS; PARTIAL DIFFERENTIAL EQUATIONS; SPECTROSCOPY; VELOCITY;

EID: 77953597029     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3327284     Document Type: Article
Times cited : (9)

References (23)
  • 1
    • 77956834067 scopus 로고
    • A mathematical model illustrating the theory of turbulence
    • AAMCAY0065-215610.1016/S0065-2156(08)70100-5
    • Burgers J.M. A mathematical model illustrating the theory of turbulence. Adv. Appl. Mech. 19481:171. AAMCAY0065-215610.1016/S0065-2156(08)70100-5
    • (1948) Adv. Appl. Mech. , vol.1 , pp. 171
    • Burgers, J.M.1
  • 2
    • 84980078224 scopus 로고
    • The partial differential equation ut+uux=μuxx
    • CPMAMV0010-364010.1002/cpa.3160030302
    • Hopf E. The partial differential equation ut+uux=μuxx. Commun. Pure Appl. Math. 19503:201. CPMAMV0010-364010.1002/cpa.3160030302
    • (1950) Commun. Pure Appl. Math. , vol.3 , pp. 201
    • Hopf, E.1
  • 3
    • 0000332692 scopus 로고
    • On a quasi-linear parabolic equation occurring in aerodynamics
    • QAMAAY0033-569X
    • Cole J.D. On a quasi-linear parabolic equation occurring in aerodynamics. Q. Appl. Math. 19519:225. QAMAAY0033-569X
    • (1951) Q. Appl. Math. , vol.9 , pp. 225
    • Cole, J.D.1
  • 4
    • 0001222722 scopus 로고    scopus 로고
    • Probability distribution functions of derivatives and increments for decaying Burgers turbulence
    • PLEEE81063-651X10.1103/PhysRevE.61.1395
    • Bec J. Frisch U. Probability distribution functions of derivatives and increments for decaying Burgers turbulence. Phys. Rev. E 200061:1395. PLEEE81063-651X10.1103/PhysRevE.61.1395
    • (2000) Phys. Rev. E , vol.61 , pp. 1395
    • Bec, J.1    Frisch, U.2
  • 5
    • 0033846265 scopus 로고    scopus 로고
    • Kicked Burgers turbulence
    • JFLSA70022-112010.1017/S0022112000001051
    • Bec J. Frisch U. Khanin K. Kicked Burgers turbulence. J. Fluid Mech. 2000416:239. JFLSA70022-112010.1017/S0022112000001051
    • (2000) J. Fluid Mech. , vol.416 , pp. 239
    • Bec, J.1    Frisch, U.2    Khanin, K.3
  • 6
    • 0000711880 scopus 로고
    • Kolmogorov turbulence in a random-force-driven Burgers equation
    • PLEEE81063-651X10.1103/PhysRevE.51.R2739
    • Chekhlov A. Yakhot V. Kolmogorov turbulence in a random-force-driven Burgers equation. Phys. Rev. E 199551:R2739. PLEEE81063-651X10.1103/PhysRevE.51.R2739
    • (1995) Phys. Rev. E , vol.51
    • Chekhlov, A.1    Yakhot, V.2
  • 7
    • 0040951913 scopus 로고    scopus 로고
    • On the statistical solution of the Riemann equation and its implication on Burgers turbulence
    • PHFLE61070-663110.1063/1.870076
    • E W. Vanden Eijnden E. On the statistical solution of the Riemann equation and its implication on Burgers turbulence. Phys. Fluids 199911:2149. PHFLE61070-663110.1063/1.870076
    • (1999) Phys. Fluids , vol.11 , pp. 2149
    • E, W.1    Vanden Eijnden, E.2
  • 8
    • 0034082434 scopus 로고    scopus 로고
    • Another note on forced Burgers turbulence
    • PHFLE61070-663110.1063/1.870288
    • E W. Vanden Eijnden E. Another note on forced Burgers turbulence. Phys. Fluids 200012:149. PHFLE61070-663110.1063/1.870288
    • (2000) Phys. Fluids , vol.12 , pp. 149
    • E, W.1    Vanden Eijnden, E.2
  • 9
    • 0032209644 scopus 로고    scopus 로고
    • Steady-state Burgers turbulence with large-scale forcing
    • PHFLE61070-663110.1063/1.869807
    • Gotoh T. Kraichnan R.H. Steady-state Burgers turbulence with large-scale forcing. Phys. Fluids 199810:2859. PHFLE61070-663110.1063/1.869807
    • (1998) Phys. Fluids , vol.10 , pp. 2859
    • Gotoh, T.1    Kraichnan, R.H.2
  • 10
    • 0242287840 scopus 로고    scopus 로고
    • Random Burgers equation and Lagrangian system in non-compact domains
    • NONLE50951-771510.1088/0951-7715/16/3/303
    • Hoang V.H. Khanin K. Random Burgers equation and Lagrangian system in non-compact domains. Nonlinearity 200316:819. NONLE50951-771510.1088/0951-7715/16/3/303
    • (2003) Nonlinearity , vol.16 , pp. 819
    • Hoang, V.H.1    Khanin, K.2
  • 11
    • 0001672917 scopus 로고
    • Burgers-equationdevils staircases and the mass-distribution for large-scale structures
    • AAEJAF0004-6361
    • Vergassola M. Dubrulle B. Frisch U. Noullez A. Burgers-equationdevils staircases and the mass-distribution for large-scale structures. Astron. Astrophys. 1994289:325. AAEJAF0004-6361
    • (1994) Astron. Astrophys. , vol.289 , pp. 325
    • Vergassola, M.1    Dubrulle, B.2    Frisch, U.3    Noullez, A.4
  • 12
    • 6144286981 scopus 로고    scopus 로고
    • Algebraic tails of probability functions in the random-force-driven Burgers turbulence
    • PRLTAO0031-900710.1103/PhysRevLett.77.3118
    • Yakhot V. Chekhlov A. Algebraic tails of probability functions in the random-force-driven Burgers turbulence. Phys. Rev. Lett. 199677:3118. PRLTAO0031-900710.1103/PhysRevLett.77.3118
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 3118
    • Yakhot, V.1    Chekhlov, A.2
  • 13
    • 47149117440 scopus 로고    scopus 로고
    • Wavelets meet Burgulence: CVS-filtered Burgers equation
    • PDNPDT0167-278910.1016/j.physd.2008.02.011
    • Nguyen R.V. Y. Farge M. Kolomensky D. Schneider K. Kingsbury N. Wavelets meet Burgulence: CVS-filtered Burgers equation. Physica D 2008237:2151. PDNPDT0167-278910.1016/j.physd.2008.02.011
    • (2008) Physica D , vol.237 , pp. 2151
    • Nguyen R.V., Y.1    Farge, M.2    Kolomensky, D.3    Schneider, K.4    Kingsbury, N.5
  • 14
    • 48849101499 scopus 로고    scopus 로고
    • Constraint on scalar diffusion anomaly in three-dimensional flows having bounded velocity gradients
    • PHFLE61070-663110.1063/1.2957022
    • Tran C.V. Constraint on scalar diffusion anomaly in three-dimensional flows having bounded velocity gradients. Phys. Fluids 200820:077103. PHFLE61070-663110.1063/1.2957022
    • (2008) Phys. Fluids , vol.20 , pp. 077103
    • Tran, C.V.1
  • 16
    • 49049134700 scopus 로고
    • Chaotic attractors of an infinite-dimensional dynamical system
    • PDNPDT0167-278910.1016/0167-2789(82)90042-2
    • Farmer J.D. Chaotic attractors of an infinite-dimensional dynamical system. Physica D 19824:366. PDNPDT0167-278910.1016/0167-2789(82)90042-2
    • (1982) Physica D , vol.4 , pp. 366
    • Farmer, J.D.1
  • 17
    • 67249103195 scopus 로고    scopus 로고
    • Number of degrees of freedom of two-dimensional turbulence
    • PLEEE81063-651X10.1103/PhysRevE.79.056308
    • Tran C.V. Blackbourn L. Number of degrees of freedom of two-dimensional turbulence. Phys. Rev. E 200979:056308. PLEEE81063-651X10.1103/PhysRevE.79.056308
    • (2009) Phys. Rev. E , vol.79 , pp. 056308
    • Tran, C.V.1    Blackbourn, L.2
  • 18
    • 76349087830 scopus 로고    scopus 로고
    • The number of degrees of freedom of three-dimensional Navier-Stokes turbulence
    • PHFLE61070-663110.1063/1.3276295
    • Tran C.V. The number of degrees of freedom of three-dimensional Navier-Stokes turbulence. Phys. Fluids 200921:125103. PHFLE61070-663110.1063/1.3276295
    • (2009) Phys. Fluids , vol.21 , pp. 125103
    • Tran, C.V.1
  • 19
    • 75349110947 scopus 로고    scopus 로고
    • Effective degrees of nonlinearity in a family of generalized models of two-dimensional turbulence
    • PLEEE81063-651X10.1103/PhysRevE.81.016301
    • Tran C.V. Dritschel D.G. Scott R.K. Effective degrees of nonlinearity in a family of generalized models of two-dimensional turbulence. Phys. Rev. E 201081:016301. PLEEE81063-651X10.1103/PhysRevE.81.016301
    • (2010) Phys. Rev. E , vol.81 , pp. 016301
    • Tran, C.V.1    Dritschel, D.G.2    Scott, R.K.3
  • 20
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • RMPHAT0034-686110.1103/RevModPhys.65.851
    • Cross M.C. Hohenberg C. Pattern formation outside of equilibrium. Rev. Mod. Phys. 199365:851. RMPHAT0034-686110.1103/RevModPhys.65.851
    • (1993) Rev. Mod. Phys. , vol.65 , pp. 851
    • Cross, M.C.1    Hohenberg, C.2
  • 21
    • 0024703013 scopus 로고
    • Chaotic behaviour of an extended system
    • PDNPDT0167-278910.1016/0167-2789(89)90121-8
    • Hohenberg C. Shraiman B.I. Chaotic behaviour of an extended system. Physica D 198937:109. PDNPDT0167-278910.1016/0167-2789(89)90121-8
    • (1989) Physica D , vol.37 , pp. 109
    • Hohenberg, C.1    Shraiman, B.I.2
  • 22
    • 2342567081 scopus 로고    scopus 로고
    • Extensivity of two-dimensional turbulence
    • PDNPDT0167-278910.1016/j.physd.2004.01.002
    • Tran C.V. Shepherd T.G. Cho H.-R. Extensivity of two-dimensional turbulence. Physica D 2004192:187. PDNPDT0167-278910.1016/j.physd.2004.01.002
    • (2004) Physica D , vol.192 , pp. 187
    • Tran, C.V.1    Shepherd, T.G.2    Cho, H.-R.3
  • 23
    • 40449132762 scopus 로고    scopus 로고
    • Revisiting Batchelor's theory of two-dimensional turbulence
    • JFLSA70022-112010.1017/S0022112007008427
    • Dritschel D.G. Tran C.V. Scott R.K. Revisiting Batchelor's theory of two-dimensional turbulence. J. Fluid Mech. 2007591:379. JFLSA70022-112010.1017/S0022112007008427
    • (2007) J. Fluid Mech. , vol.591 , pp. 379
    • Dritschel, D.G.1    Tran, C.V.2    Scott, R.K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.