메뉴 건너뛰기




Volumn 7, Issue 1, 1997, Pages 200-228

The large-scale structure of the universe and quasi-Voronoi tessellation of shock fronts in forced Burgers turbulence in Rd

Author keywords

Forced Burgers turbulence; Large scale structure of the Universe; Quasi Voronoi tessellations

Indexed keywords


EID: 0031285162     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (33)

References (46)
  • 1
    • 21844526225 scopus 로고
    • Stratified structure of the universe and Burgers' equation: A probabilistic approach
    • ALBEVERIO, S., MOLCHANOV, S. A. and SURGAILIS, D. (1994). Stratified structure of the universe and Burgers' equation: a probabilistic approach. Probab. Theory Related Fields 100 457-484.
    • (1994) Probab. Theory Related Fields , vol.100 , pp. 457-484
    • Albeverio, S.1    Molchanov, S.A.2    Surgailis, D.3
  • 2
    • 0003028082 scopus 로고
    • Statistical properties of shocks in Burgers turbulence
    • AVELLANEDA, M., E W. (1995). Statistical properties of shocks in Burgers turbulence. Comm. Math. Phys. 172 13-38.
    • (1995) Comm. Math. Phys. , vol.172 , pp. 13-38
    • Avellaneda, M.1
  • 3
    • 11944264766 scopus 로고
    • Properties of the cosmological density distribution function
    • BERNARDEAU, F. and KOFMAN, L. (1995). Properties of the cosmological density distribution function. Astrophys. J. 443 479-498.
    • (1995) Astrophys. J. , vol.443 , pp. 479-498
    • Bernardeau, F.1    Kofman, L.2
  • 11
    • 0010713514 scopus 로고
    • Parabolic problems of the Anderson model
    • GÄRTNER, J. and MOLCHANOV, S. A. (1990). Parabolic problems of the Anderson model. Comm. Math. Phys. 132 913-955.
    • (1990) Comm. Math. Phys. , vol.132 , pp. 913-955
    • Gärtner, J.1    Molchanov, S.A.2
  • 13
    • 0010706255 scopus 로고
    • Large-scale structure of the universe within the framework of model equation for nonlinear diffusion
    • GURBATOV, S. N., SAICHEV, A. I. and SHANDARIN, S. F. (1984). Large-scale structure of the universe within the framework of model equation for nonlinear diffusion. Sov. Phys. Dokl. 30 321-324.
    • (1984) Sov. Phys. Dokl. , vol.30 , pp. 321-324
    • Gurbatov, S.N.1    Saichev, A.I.2    Shandarin, S.F.3
  • 14
    • 0010704315 scopus 로고
    • On a stochastic PDE related to Burgers' equation with noise
    • T. Funaki and W. A. Woyczynski, eds. Springer, New York
    • HANDA, K. (1995). On a stochastic PDE related to Burgers' equation with noise. In Nonlinear Stochastic PDE's: Hydrodynamic Limit and Burgers' Turbulence (T. Funaki and W. A. Woyczynski, eds.) 147-156. Springer, New York.
    • (1995) Nonlinear Stochastic PDE's: Hydrodynamic Limit and Burgers' Turbulence , pp. 147-156
    • Handa, K.1
  • 16
    • 0010667049 scopus 로고
    • An extremal rearrangement property of statistical solutions of the Burgers' equation
    • HU, Y. and WOYCZYNSKI, W. A. (1994). An extremal rearrangement property of statistical solutions of the Burgers' equation. Ann. Appl. Probab. 4 838-858.
    • (1994) Ann. Appl. Probab. , vol.4 , pp. 838-858
    • Hu, Y.1    Woyczynski, W.A.2
  • 19
    • 12044249129 scopus 로고
    • Evolution of one-point distributions from Gaussian initial fluctuations
    • KOFMAN, L., BERTSCHINGER, E., GELB, J. M., NUSSER, A. and DEKEL, A. (1994). Evolution of one-point distributions from Gaussian initial fluctuations. Astrophys. J. 420 44-57.
    • (1994) Astrophys. J. , vol.420 , pp. 44-57
    • Kofman, L.1    Bertschinger, E.2    Gelb, J.M.3    Nusser, A.4    Dekel, A.5
  • 20
    • 0000444715 scopus 로고
    • Modeling structures of knots in jet flows with the Burgers equation
    • KOFMAN, L. and RAGA, A. C. (1992). Modeling structures of knots in jet flows with the Burgers equation. Astrophys. J. 390 359-364.
    • (1992) Astrophys. J. , vol.390 , pp. 359-364
    • Kofman, L.1    Raga, A.C.2
  • 21
    • 5244302926 scopus 로고
    • Lagrangian-history statistical theory for Burgers' equation
    • KRAICHNAN, R. H. (1968). Lagrangian-history statistical theory for Burgers' equation. Phys. Fluids 11 265-277.
    • (1968) Phys. Fluids , vol.11 , pp. 265-277
    • Kraichnan, R.H.1
  • 22
    • 84891211683 scopus 로고
    • The structure of isotropic turbulence at very high Reynolds numbers
    • KRAICHNAN, R. H. (1959). The structure of isotropic turbulence at very high Reynolds numbers. J. Fluid Mech. 5 497-543.
    • (1959) J. Fluid Mech. , vol.5 , pp. 497-543
    • Kraichnan, R.H.1
  • 24
    • 0010666297 scopus 로고
    • Non-Gaussian limit distributions for solutions of Burgers equation with strongly dependent random initial conditions
    • LEONENKO, N. N. and ZHANBING, L. (1994). Non-Gaussian limit distributions for solutions of Burgers equation with strongly dependent random initial conditions. Random Operators and Stochastic Equations 2 79-86.
    • (1994) Random Operators and Stochastic Equations , vol.2 , pp. 79-86
    • Leonenko, N.N.1    Zhanbing, L.2
  • 26
    • 12044258348 scopus 로고
    • A test of the adhesion approximation for gravitational clustering
    • MELOTT, A. L., SHANDARIN, S. F. and WEINBERG, D. H. (1994). A test of the adhesion approximation for gravitational clustering. Astrophys. J. 428 28-34.
    • (1994) Astrophys. J. , vol.428 , pp. 28-34
    • Melott, A.L.1    Shandarin, S.F.2    Weinberg, D.H.3
  • 27
    • 0001691716 scopus 로고
    • Lectures in random media
    • Springer, Berlin
    • MOLCHANOV, S. A. (1994). Lectures in random media. Lecture Notes in Math. 1581 242-406. Springer, Berlin.
    • (1994) Lecture Notes in Math. , vol.1581 , pp. 242-406
    • Molchanov, S.A.1
  • 28
    • 21844508222 scopus 로고
    • Hyperbolic asymptotics in Burgers' turbulence and extremal processes
    • MOLCHANOV, S. A., SURGAILIS, D. and WOYCZYNSKI, W. A. (1995). Hyperbolic asymptotics in Burgers' turbulence and extremal processes. Comm. Math. Phys. 168 209-226.
    • (1995) Comm. Math. Phys. , vol.168 , pp. 209-226
    • Molchanov, S.A.1    Surgailis, D.2    Woyczynski, W.A.3
  • 29
    • 0003231693 scopus 로고
    • Lectures on random voronoi tessellations
    • Springer, New York
    • MØLLER, J. (1994). Lectures on Random Voronoi Tessellations. Lecture Notes in Statist. 87. Springer, New York.
    • (1994) Lecture Notes in Statist. , vol.87
    • Møller, J.1
  • 32
    • 12044252395 scopus 로고
    • The evolution of voids in the adhesion approximation
    • SAHNI, V., SATHYAPRAKASH, B. S. and SHANDARIN, S. F. (1994). The evolution of voids in the adhesion approximation. Astrophys. J. 431 20-40.
    • (1994) Astrophys. J. , vol.431 , pp. 20-40
    • Sahni, V.1    Sathyaprakash, B.S.2    Shandarin, S.F.3
  • 33
    • 0030216097 scopus 로고    scopus 로고
    • Density fields in Burgers and KdV-Burgers turbulence
    • SAICHEV, A. I. and WOYCZYNSKI, W. A. (1996). Density fields in Burgers and KdV-Burgers turbulence. SIAM J. Appl. Math. 56 1008-1038.
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 1008-1038
    • Saichev, A.I.1    Woyczynski, W.A.2
  • 34
    • 0030917609 scopus 로고    scopus 로고
    • Evolution of Burgers' turbulence in presence of external forces
    • SAICHEV, A. I. and WOYCZYNSKI, W. A. (1997). Evolution of Burgers' turbulence in presence of external forces. J. Fluid Mech.
    • (1997) J. Fluid Mech.
    • Saichev, A.I.1    Woyczynski, W.A.2
  • 35
    • 84968484534 scopus 로고
    • Some asymptotic formulas for Wiener integrals
    • SCHILDER, M. (1966). Some asymptotic formulas for Wiener integrals. Trans. Amer. Math. Soc. 20 63-85.
    • (1966) Trans. Amer. Math. Soc. , vol.20 , pp. 63-85
    • Schilder, M.1
  • 36
    • 35949010561 scopus 로고
    • Turbulence, intermittency, structures in a self-gravitating medium: The large scale structure of the universe
    • SHANDARIN, S. F. and ZELDOVICH, YA. B. (1989). Turbulence, intermittency, structures in a self-gravitating medium: the large scale structure of the universe. Rev. Modern Phys. 61 185-220.
    • (1989) Rev. Modern Phys. , vol.61 , pp. 185-220
    • Shandarin, S.F.1    Zeldovich, Ya.B.2
  • 37
    • 34249839748 scopus 로고
    • Statistics of shocks in solutions of inviscid Burgers equation
    • SINAI, YA. G. (1992a). Statistics of shocks in solutions of inviscid Burgers equation. Comm. Math. Phys. 148 601-621.
    • (1992) Comm. Math. Phys. , vol.148 , pp. 601-621
    • Sinai, Ya.G.1
  • 38
    • 33751098368 scopus 로고
    • Two results concerning asymptotic behavior of solutions of the Burgers equation with force
    • SINAI, YA. G. (1992b). Two results concerning asymptotic behavior of solutions of the Burgers equation with force. J. Statist. Phys. 64 1-12.
    • (1992) J. Statist. Phys. , vol.64 , pp. 1-12
    • Sinai, Ya.G.1
  • 40
    • 0010665165 scopus 로고
    • On infinitely divisible self-similar random fields
    • SURGAILIS, D. (1981). On infinitely divisible self-similar random fields. Z. Wahrsch. Verw. Gebiete 58 453-477.
    • (1981) Z. Wahrsch. Verw. Gebiete , vol.58 , pp. 453-477
    • Surgailis, D.1
  • 41
    • 0002010564 scopus 로고
    • Scaling limits of solutions of the Burgers' equation with singular Gaussian initial data
    • C. Houdré and V. Perez-Abreu, eds. CRC Press, Boca Raton, FL
    • SURGAILIS, D. and WOYCZYNSKI, W. A. (1994). Scaling limits of solutions of the Burgers' equation with singular Gaussian initial data. In Chaos Expansions, Multiple Wiener-Itô Integrals and Their Applications (C. Houdré and V. Perez-Abreu, eds.) 145-161. CRC Press, Boca Raton, FL.
    • (1994) Chaos Expansions, Multiple Wiener-Itô Integrals and Their Applications , pp. 145-161
    • Surgailis, D.1    Woyczynski, W.A.2
  • 43
    • 0001672917 scopus 로고
    • Burgers' equation, devil's staircases and the mass distribution for large-scale structures
    • VERGASSOLA, M., DUBRULLE, B., FRISCH, U. and NULLEZ, A. (1994). Burgers' equation, devil's staircases and the mass distribution for large-scale structures. Astronom. and Astrophys. 289 325-356.
    • (1994) Astronom. and Astrophys , vol.289 , pp. 325-356
    • Vergassola, M.1    Dubrulle, B.2    Frisch, U.3    Nullez, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.