Skip to main content
Log in

Reaction-Convection in Incompressible 3D-Fluid: A Homogenization Problem

  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

We consider reaction-convection in a stationary incompressible flow which is close to a planar motion. Under certain conditions, we introduce the notion of relative entropy for such a deterministic flow to describe the motion of the spot occupied by an ingredient.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. Brin and M. Freidlin, On stochastic behavior of perturbed Hamiltonian systems, Ergodic Theory and Dynamical Systems 20, (2000), 55–76.

    Article  MathSciNet  Google Scholar 

  2. A. Dembo and O. Zeitouni, Large Deviations and Applications, Jones and Bartlett, (Boston 1992).

    Google Scholar 

  3. M. Freidlin, Functional Integration and Partial Diffferential Equations, (Princeton University Press 1985).

  4. M. Freidlin, Reaction-Diffusion in Incompressible Fluid: Asymptotic Problems, Journal of Diffrential Equation, 179, (2002), 44–96.

    MATH  MathSciNet  Google Scholar 

  5. M. Freidlin, Deterministic 3D-perturbations of planar uncompressible flow lead to stochasticity, Journ. Stat. Phys. 111, (2003), 1209–1218.

    MATH  MathSciNet  Google Scholar 

  6. M. Freidlin and A. Wentzell, Random Perturbations of Danamical Systems, Second edition, (Springer 1998).

  7. M. Freidlin and A. Wentzell, Diffusion processes on an open book and averanging principle, Stochastic Processes and their Appl, 113, (2004), 101–126.

    MathSciNet  Google Scholar 

  8. V. Klepzyn and M Naĺskii, Contruction of orbits in random dynamical systems on the circle, Functional Analysis and Appl 38(4), (2004), 267–283.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mark Freidlin.

Additional information

The work was supported in part by an NSF grant DMS0503950.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Freidlin, M. Reaction-Convection in Incompressible 3D-Fluid: A Homogenization Problem. J Stat Phys 122, 333–349 (2006). https://doi.org/10.1007/s10955-005-8073-z

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10955-005-8073-z

Key Words

Navigation