-
1
-
-
21844526225
-
Stratified structure of the Universe and Burgers' equation - A probabilistic approach
-
ALBEVERIO, S., MOLCHANOV, A. A. & SURGAILIS, D. 1994 Stratified structure of the Universe and Burgers' equation - a probabilistic approach. Prob. Theory Relat. Fields 100, 457-484.
-
(1994)
Prob. Theory Relat. Fields
, vol.100
, pp. 457-484
-
-
Albeverio, S.1
Molchanov, A.A.2
Surgailis, D.3
-
2
-
-
70450148372
-
Numerical proof of self-similarity in Burgers' turbulence
-
patt-sol/9602005
-
AURELL, E., GURBATOV, S. N. & SIMDYANKIN, S. I. 1996 Numerical proof of self-similarity in Burgers' turbulence. TRITA-PDC Rep. 1996:2, patt-sol/9602005.
-
(1996)
TRITA-PDC Rep. 1996
, pp. 2
-
-
Aurell, E.1
Gurbatov, S.N.2
Simdyankin, S.I.3
-
3
-
-
0031232208
-
Bifractality of the Devil's staircase appearing the Burgers equation with Brownian initial velocity
-
to appear
-
AURELL, E., FRISCH, U., NOULLEZ, A. & BLANK, M. 1997 Bifractality of the Devil's staircase appearing the Burgers equation with Brownian initial velocity. J. Statist. Phys., to appear.
-
(1997)
J. Statist. Phys.
-
-
Aurell, E.1
Frisch, U.2
Noullez, A.3
Blank, M.4
-
4
-
-
0003028082
-
Statistical properties of shocks in Burgers turbulence
-
AVELLANEDA, M. & E. W. 1995 Statistical properties of shocks in Burgers turbulence. Commun. Math. Phys. 172, 13-38.
-
(1995)
Commun. Math. Phys.
, vol.172
, pp. 13-38
-
-
Avellaneda, M.1
E, W.2
-
5
-
-
3943101243
-
Scale-invariant matter distribution in the universe
-
BALIAN. R. & SCHAEFFER, R. 1989 Scale-invariant matter distribution in the universe. Astron. Astrophys. 220, 1-29.
-
(1989)
Astron. Astrophys.
, vol.220
, pp. 1-29
-
-
Balian, R.1
Schaeffer, R.2
-
7
-
-
0001576899
-
The large-scale structure of homogeneous turbulence
-
BATCHELOR, G. K. & PROUDMAN, I. 1956 The large-scale structure of homogeneous turbulence. Phil. Trans. R. Soc. Lond. 248, 369-405.
-
(1956)
Phil. Trans. R. Soc. Lond.
, vol.248
, pp. 369-405
-
-
Batchelor, G.K.1
Proudman, I.2
-
10
-
-
0000177610
-
Scaling and intermittency in Burgers turbulence
-
BOUCHAUD, J.-P., MÉZARD, M. & PARISI, G. 1995 Scaling and intermittency in Burgers turbulence. Phys. Rev. E 52, 3656-3674.
-
(1995)
Phys. Rev. E
, vol.52
, pp. 3656-3674
-
-
Bouchaud, J.-P.1
Mézard, M.2
Parisi, G.3
-
11
-
-
0002624449
-
Mathematical examples illustrating relations occurring in the theory of turbulent fluid motion
-
BURGERS, J. M. 1939 Mathematical examples illustrating relations occurring in the theory of turbulent fluid motion. Kon. Ned. Akad. Wet. Verh. 17, 1-53 (also in Selected Papers of J. M. Burgers (ed. F. T. M. Nieuwstadt & J. A. Steketee), pp. 281-334, Kluwer, 1995).
-
(1939)
Kon. Ned. Akad. Wet. Verh.
, vol.17
, pp. 1-53
-
-
Burgers, J.M.1
-
12
-
-
84952628814
-
-
Kluwer
-
BURGERS, J. M. 1939 Mathematical examples illustrating relations occurring in the theory of turbulent fluid motion. Kon. Ned. Akad. Wet. Verh. 17, 1-53 (also in Selected Papers of J. M. Burgers (ed. F. T. M. Nieuwstadt & J. A. Steketee), pp. 281-334, Kluwer, 1995).
-
(1995)
Selected Papers of J. M. Burgers
, pp. 281-334
-
-
Nieuwstadt, F.T.M.1
Steketee, J.A.2
-
14
-
-
5544305346
-
Kolmogorov turbulence in a random-force-driven Burgers equation: Anomalous scaling and probability functions
-
CHEKLOV, A. & YAKHOT, V. 1995 Kolmogorov turbulence in a random-force-driven Burgers equation: anomalous scaling and probability functions. Phys. Rev. E 52, 5681-5684.
-
(1995)
Phys. Rev. E
, vol.52
, pp. 5681-5684
-
-
Cheklov, A.1
Yakhot, V.2
-
15
-
-
0000332692
-
On a quasi-linear parabolic equation occurring in aerodynamics
-
COLE, J. D. 1951 On a quasi-linear parabolic equation occurring in aerodynamics. Q. Appl. Maths 9, 225-236.
-
(1951)
Q. Appl. Maths
, vol.9
, pp. 225-236
-
-
Cole, J.D.1
-
16
-
-
6244236583
-
Probability distribution functions for the random forced Burgers equation
-
E, W., KHANIN, K., MAZEL, A. & SINAI, YA. 1997 Probability distribution functions for the random forced Burgers equation. Phys. Rev. Lett. 78, 1904-1907.
-
(1997)
Phys. Rev. Lett.
, vol.78
, pp. 1904-1907
-
-
E, W.1
Khanin, K.2
Mazel, A.3
Sinai, Ya.4
-
17
-
-
0001051829
-
Energy decay in Burgers turbulence and interface growth: The problem of random initial conditions. II
-
ESIPOV, S. E. 1994 Energy decay in Burgers turbulence and interface growth: the problem of random initial conditions. II. Phys. Rev. E 49, 2070-2081.
-
(1994)
Phys. Rev. E
, vol.49
, pp. 2070-2081
-
-
Esipov, S.E.1
-
18
-
-
0011754967
-
Interface growth and Burgers turbulence: The problem of random initial conditions
-
ESIPOV, S. E. & NEWMAN, T. J. 1993 Interface growth and Burgers turbulence: the problem of random initial conditions. Phys. Rev. E 48, 1046-1050.
-
(1993)
Phys. Rev. E
, vol.48
, pp. 1046-1050
-
-
Esipov, S.E.1
Newman, T.J.2
-
19
-
-
0020891622
-
L'équation de Burgers déterministe et statistique
-
FOURNIER, J. D. & FRISCH, U. 1983 L'équation de Burgers déterministe et statistique. J. Méc. Théor. Appl. 2, 699-750.
-
(1983)
J. Méc. Théor. Appl.
, vol.2
, pp. 699-750
-
-
Fournier, J.D.1
Frisch, U.2
-
21
-
-
0000492005
-
Gibbs - Cox random fields and Burgers turbulence
-
FUNAKI, T., SURGAILIS, D. & WOYCZYNSKI, W. A. 1995 Gibbs - Cox random fields and Burgers turbulence. Ann. Appl. Probab. 5, 461-492.
-
(1995)
Ann. Appl. Probab.
, vol.5
, pp. 461-492
-
-
Funaki, T.1
Surgailis, D.2
Woyczynski, W.A.3
-
22
-
-
0000686510
-
Instantons in Burgers equation
-
GURARIE, V. & MIGDAL, A. 1996 Instantons in Burgers equation. Phys. Rev. E 54, 4908-4914.
-
(1996)
Phys. Rev. E
, vol.54
, pp. 4908-4914
-
-
Gurarie, V.1
Migdal, A.2
-
23
-
-
0017516292
-
Statistical characteristics of random quasi monochromatic waves in nonlinear media
-
GURBATOV, S. N. & MALAKHOV, A. N. 1977 Statistical characteristics of random quasi monochromatic waves in nonlinear media. Sov. Phys. Acoust. 23, 325-329.
-
(1977)
Sov. Phys. Acoust.
, vol.23
, pp. 325-329
-
-
Gurbatov, S.N.1
Malakhov, A.N.2
-
24
-
-
0003783423
-
-
Manchester University Press
-
GURBATOV, S. N., MALAKHOV, A. N. & SAICHEV, A. I. 1991 Nonliear Random Waves and Turbulence in Nondispersive media: Waves, Rays, Particles. Manchester University Press.
-
(1991)
Nonliear Random Waves and Turbulence in Nondispersive Media: Waves, Rays, Particles
-
-
Gurbatov, S.N.1
Malakhov, A.N.2
Saichev, A.I.3
-
25
-
-
0346237382
-
Degeneracy of one-dimensional acoustic turbulence for large Reynolds numbers
-
GURBATOV, S. N. & SAICHEV, A. I. 1981 Degeneracy of one-dimensional acoustic turbulence for large Reynolds numbers. Sov. Phys. JETP 80, 589-595.
-
(1981)
Sov. Phys. JETP
, vol.80
, pp. 589-595
-
-
Gurbatov, S.N.1
Saichev, A.I.2
-
26
-
-
0021404608
-
Probability distribution and spectra of potential hydrodynamic turbulence
-
GURBATOV, S. N. & SAICHEV, A. I. 1984 Probability distribution and spectra of potential hydrodynamic turbulence. Radiophys. Quant. Electr. 27, 303-313; also Izv. VUZ Radiofiz. (USSR) 27, 456-468, in Russian.
-
(1984)
Radiophys. Quant. Electr.
, vol.27
, pp. 303-313
-
-
Gurbatov, S.N.1
Saichev, A.I.2
-
27
-
-
0021404608
-
-
in Russian
-
GURBATOV, S. N. & SAICHEV, A. I. 1984 Probability distribution and spectra of potential hydrodynamic turbulence. Radiophys. Quant. Electr. 27, 303-313; also Izv. VUZ Radiofiz. (USSR) 27, 456-468, in Russian.
-
Izv. VUZ Radiofiz. (USSR)
, vol.27
, pp. 456-468
-
-
-
28
-
-
0001411157
-
The large-scale structure of the Universe in the frame of the model equation of non-linear diffusion
-
GURBATOV, S. N., SAICHEV, A. I. & SHANDARIN, S. F. 1989 The large-scale structure of the Universe in the frame of the model equation of non-linear diffusion. Mon. Not. R. Astron. Soc. 236, 385-402.
-
(1989)
Mon. Not. R. Astron. Soc.
, vol.236
, pp. 385-402
-
-
Gurbatov, S.N.1
Saichev, A.I.2
Shandarin, S.F.3
-
30
-
-
0642336511
-
Shock density in Burger's turbulence
-
(ed. T. Funaki & W. A. Woyczynski), Springer
-
HU, Y. & WOYCZYNSKI, W. A. 1996 Shock density in Burger's turbulence. In Nonlinear Stochastic PDEs (ed. T. Funaki & W. A. Woyczynski), pp. 157-165. Springer.
-
(1996)
Nonlinear Stochastic PDEs
, pp. 157-165
-
-
Hu, Y.1
Woyczynski, W.A.2
-
31
-
-
4243979739
-
Dynamical scaling of growing interfaces
-
KARDAR, M., PARISI, G. & ZHANG, Y. C. 1986 Dynamical scaling of growing interfaces. Phys. Rev. Lett. 56, 889-892.
-
(1986)
Phys. Rev. Lett.
, vol.56
, pp. 889-892
-
-
Kardar, M.1
Parisi, G.2
Zhang, Y.C.3
-
32
-
-
0000753681
-
On the statistical theory of isotropic turbulence
-
KÁRMÁN, T. VON & HOWARTH, L. 1938 On the statistical theory of isotropic turbulence. Proc. R. Soc. Lond. A 164, 192-215.
-
(1938)
Proc. R. Soc. Lond. A
, vol.164
, pp. 192-215
-
-
Von Kármán, T.1
Howarth, L.2
-
33
-
-
0018491353
-
Asymptotic properties of Burgers turbulence
-
KIDA, S. 1979 Asymptotic properties of Burgers turbulence J. Fluid Mech. 93, 337-377.
-
(1979)
J. Fluid Mech.
, vol.93
, pp. 337-377
-
-
Kida, S.1
-
34
-
-
0002385458
-
On degeneration (decay) of isotropic turbulence in an incompressible viscous liquid
-
KOLMOGOROV, A. N. 1941 On degeneration (decay) of isotropic turbulence in an incompressible viscous liquid. Dokl. Akad. Nauk SSSR 31, 538-540.
-
(1941)
Dokl. Akad. Nauk SSSR
, vol.31
, pp. 538-540
-
-
Kolmogorov, A.N.1
-
36
-
-
0000986181
-
Turbulent flow, theoretical aspects
-
(ed. S. Flügge & C. Truesdell), Springer
-
LIN, C. C. & REID, W. H. 1963 Turbulent flow, theoretical aspects. In Handbuch der Physik, Fluid Dynamics II (ed. S. Flügge & C. Truesdell), pp. 438-523. Springer.
-
(1963)
Handbuch der Physik, Fluid Dynamics II
, pp. 438-523
-
-
Lin, C.C.1
Reid, W.H.2
-
38
-
-
21844508222
-
Hyperbolic asymptotics in Burgers' turbulence and extremal processes
-
MOLCHANOV, S. A., SURGAILIS, D. & WOYCZYNSKI, W. A. 1995 Hyperbolic asymptotics in Burgers' turbulence and extremal processes. Commun. Math. Phys. 168, 209-226.
-
(1995)
Commun. Math. Phys.
, vol.168
, pp. 209-226
-
-
Molchanov, S.A.1
Surgailis, D.2
Woyczynski, W.A.3
-
40
-
-
0028513617
-
A fast algorithm for discrete Legendre transforms
-
NOULLEZ, A. & VERGASSOLA, M. 1994 A fast algorithm for discrete Legendre transforms. J. Sci. Comput. 9, 259-281.
-
(1994)
J. Sci. Comput.
, vol.9
, pp. 259-281
-
-
Noullez, A.1
Vergassola, M.2
-
42
-
-
84959668466
-
On the behaviour of the characteristics function of a probability distribution in the neighborhood of the origin
-
PITMAN, E. J. G. 1968 On the behaviour of the characteristics function of a probability distribution in the neighborhood of the origin. J. Austral. Math. Soc. 8, 422-443.
-
(1968)
J. Austral. Math. Soc.
, vol.8
, pp. 422-443
-
-
Pitman, E.J.G.1
-
43
-
-
0000455520
-
Turbulence without pressure
-
POLYAKOV, A. M. 1995 Turbulence without pressure. Phys. Rev. E 52, 6183-6188.
-
(1995)
Phys. Rev. E
, vol.52
, pp. 6183-6188
-
-
Polyakov, A.M.1
-
44
-
-
0001239790
-
On the decay of a normally distributed and homogeneous turbulent velocity field
-
PROUDMAN, I. & REID, W. H. 1954 On the decay of a normally distributed and homogeneous turbulent velocity field. Phil. Trans. R. Soc. Lond. A 247, 163-189.
-
(1954)
Phil. Trans. R. Soc. Lond. A
, vol.247
, pp. 163-189
-
-
Proudman, I.1
Reid, W.H.2
-
46
-
-
35949010561
-
The large-scale structure of the Universe: Turbulence, intermittency, structures in a self-gravitating medium
-
SHANDARIN, S. F. & ZELDOVICH, YA. B. 1989 The large-scale structure of the Universe: turbulence, intermittency, structures in a self-gravitating medium. Rev. Mod. Phys. 61, 185-220.
-
(1989)
Rev. Mod. Phys.
, vol.61
, pp. 185-220
-
-
Shandarin, S.F.1
Zeldovich, Ya.B.2
-
47
-
-
6644224525
-
The inviscid Burgers equation with initial data of Brownian type
-
SHE, Z. S., AURELL, E. & FRISCH, U. 1992 The inviscid Burgers equation with initial data of Brownian type. Commun. Math. Phys. 148, 623-641.
-
(1992)
Commun. Math. Phys.
, vol.148
, pp. 623-641
-
-
She, Z.S.1
Aurell, E.2
Frisch, U.3
-
48
-
-
34249839748
-
Statistics of shocks in solutions of inviscid Burgers equation
-
SINAI, YA. 1992 Statistics of shocks in solutions of inviscid Burgers equation. Commun. Math. Phys. 148, 601-622.
-
(1992)
Commun. Math. Phys.
, vol.148
, pp. 601-622
-
-
Sinai, Ya.1
-
49
-
-
0009165583
-
Intermediate asymptotics of statistical solutions of Burger's equation
-
(ed. T. Funaki & W. A. Woyczynski), Springer
-
SURGAILIS, D. 1996 Intermediate asymptotics of statistical solutions of Burger's equation. In Non-linear Stochastic PDEs (ed. T. Funaki & W. A. Woyczynski), pp. 137-145. Springer.
-
(1996)
Non-linear Stochastic PDEs
, pp. 137-145
-
-
Surgailis, D.1
-
50
-
-
0642275226
-
Asymptotics of solutions of Burger's equation with random piecewise constant data
-
(ed. S. A Molchanov & W. A. Woyczynski), Springer
-
SURGAILIS, D. 1997 Asymptotics of solutions of Burger's equation with random piecewise constant data. In Stochastic Models in Geosystems (ed. S. A Molchanov & W. A. Woyczynski),pp. 427-441. Springer.
-
(1997)
Stochastic Models in Geosystems
, pp. 427-441
-
-
Surgailis, D.1
-
51
-
-
0000676695
-
Statistical mechanics of the Burgers model of turbulence
-
TATSUMI, T. & KIDA, S. 1972 Statistical mechanics of the Burgers model of turbulence. J. Fluid Mech. 55, 659-675.
-
(1972)
J. Fluid Mech.
, vol.55
, pp. 659-675
-
-
Tatsumi, T.1
Kida, S.2
-
52
-
-
0001672917
-
Burgers' equation, Devil's staircases and the mass distribution for large-scale structures
-
VERGASSOLA, M., DUBRULLE, B., FRISCH, U. & NOULLEZ, A. 1994 Burgers' equation, Devil's staircases and the mass distribution for large-scale structures. Astron. Astrophys. 289, 325-356.
-
(1994)
Astron. Astrophys.
, vol.289
, pp. 325-356
-
-
Vergassola, M.1
Dubrulle, B.2
Frisch, U.3
Noullez, A.4
-
54
-
-
0002320511
-
Gravitational instability: An approximate theory for large density perturbations
-
ZELDOVICH,YA. B. 1970 Gravitational instability: an approximate theory for large density perturbations. Astron. Astrophys. 5, 84-89.
-
(1970)
Astron. Astrophys.
, vol.5
, pp. 84-89
-
-
Zeldovich, Ya.B.1
|