Stochastic PDEs and other models in turbulence theory and beyond
Stochastic Burgers equation
- On
the
statistical solution of Riemann equation and its
implication for Burgers turbulence, with W. E Phys. Fluids 11, 2149-2153 (1999).
- Asymptotic
theory for the probability density functions in
Burgers turbulence, with W. E, Phys.
Rev. Lett. 83,
2572-2575 (1999).
- Another
note on Burgers turbulence, with W. E Phys. Fluids 12, 149-154 (2000).
(Companion paper of R. H.
Kraichnan, Note on
Burgers turbulence, Phys. Fluids 11,
3738-3742 (1999). )
- Statistical
theory for the stochastic Burgers equation in the
inviscid limit, with W. E, Comm.
Pure App. Math. 53,
852-901 (2000).
Passive scalar equation
- Generalized
flows, intrinsic stochasticity, and turbulent
transport, with W. E, Proc.
Natl. Acad. Sci. USA 97,
8200-8205 (2000).
- Prandtl
number effect in passive scalar advection, with
W. E, Physica D, 152,
636-645 (2001).
(One of the estimates in this paper is wrong and was corrected in: G.
Krzysztof and P. Horvai,
Sticky behavior of
fluid particles in the compressible Kraichnan model, J.
Stat. Phys. 116,
1247-1300 (2005).)
- Non-Gaussian
invariant measures for the Majda model of decaying
turbulent transport, Comm.
Pure App. Math. 54,
1146-1167 (2001).
- A note
on generalized flows, with W. E Physica
D 183, 159-174 (2003).
- Closure
approximations for passive scalar turbulence: a
comparative study on an exactly solvable model with complex
features, with A. J. Majda and P. Kramer, J. Stat. Phys. 111, 565-679 (2003).
Mechanism of energy cascade and anomalous dissipation
- Resonant
wave interaction with random forcing and
dissipation, with P. A. Milewski and E. G. Tabak, Stud. App. Math. 108, 123-144 (2002).
- Nonequilibrium
statistics of a reduced model for energy transfer
in waves, with R. E. Lee DeVille, P. A. Milewski, R. J. Pignol, E.
G.Tabak,to appear in: Comm.
Pure App. Math.
- Simple
systems with anomalous dissipation and energy cascade,
with J. Mattingly and T. Suidan, submitted to: Comm. Math. Phys.
- Anomalous
dissipation in a stochastically forced
infinite-dimensional system of coupled harmonic oscillators, with
J. Mattingly and T. Suidan, submitted to: J. Stat. Phys.
Plasma turbulence
- The drift-wave dispersion equation revisited, with R.Balescu
and B. Weyssow, J. Plasma Phys.
50, 425-444 (1993).
- Liouvillian theory of magnetic fluctuations, with R.
Balescu, J. Plasma Phys. 54, 185-199 (1995).
- Diffusive
processes in a stochastic magnetic field, with R.
Balescu, J. H. Misguich, F. Spineanu, M. Vlad and H.-D. Wang, Phys. Rev. E 51, 4844-4859 (1995).
- Statistical
description and transport in stochastic magnetic
fields, with R. Balescu, Phys.
Plasmas 3, 874-888
(1996).
- Strongly
anomalous diffusion in sheared magnetic
configurations, with R. Balescu, Phys. Plasmas 3, 815-823 (1996).
- Transport
in sheared stochastic magnetic fields, with R. Balescu, Phys. Plasmas 4, 270-276 (1997).
- Some remarks on the quasilinear treatment of the
stochastic acceleration problem Phys. Plasmas
4, 1486-1488
(1997).
Stochastic
modeling of turbulence and anomalous transport
in plasmas, with A. Grecos, J.
Plasma Phys. 59,
683-694 (1998).
- Contribution
to the statistical theory of turbulence. Application to anomalous transport in plasmas,
PhD thesis (1997).
Miscellaneous