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.
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M. Brin and M. Freidlin, On stochastic behavior of perturbed Hamiltonian systems, Ergodic Theory and Dynamical Systems 20, (2000), 55–76.
A. Dembo and O. Zeitouni, Large Deviations and Applications, Jones and Bartlett, (Boston 1992).
M. Freidlin, Functional Integration and Partial Diffferential Equations, (Princeton University Press 1985).
M. Freidlin, Reaction-Diffusion in Incompressible Fluid: Asymptotic Problems, Journal of Diffrential Equation, 179, (2002), 44–96.
M. Freidlin, Deterministic 3D-perturbations of planar uncompressible flow lead to stochasticity, Journ. Stat. Phys. 111, (2003), 1209–1218.
M. Freidlin and A. Wentzell, Random Perturbations of Danamical Systems, Second edition, (Springer 1998).
M. Freidlin and A. Wentzell, Diffusion processes on an open book and averanging principle, Stochastic Processes and their Appl, 113, (2004), 101–126.
V. Klepzyn and M Naĺskii, Contruction of orbits in random dynamical systems on the circle, Functional Analysis and Appl 38(4), (2004), 267–283.
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The work was supported in part by an NSF grant DMS0503950.
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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
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DOI: https://doi.org/10.1007/s10955-005-8073-z