Regularity of the effective diffusivity of random diffusion
with respect to anisotropy coefficient
Studia Mathematica, Tome 189 (2008) no. 3, pp. 269-286
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We show that the effective diffusivity of a random diffusion with a drift is a continuous function of the drift coefficient. In fact, in the case of a homogeneous and isotropic random environment the function is $C^\infty $ smooth outside the origin. We provide a one-dimensional example which shows that the diffusivity coefficient need not be differentiable at $0$.
Keywords:
effective diffusivity random diffusion drift continuous function drift coefficient homogeneous isotropic random environment function infty smooth outside origin provide one dimensional example which shows diffusivity coefficient differentiable
Affiliations des auteurs :
M. Cudna 1 ; T. Komorowski 2
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author = {M. Cudna and T. Komorowski},
title = {Regularity of the effective diffusivity of random diffusion
with respect to anisotropy coefficient},
journal = {Studia Mathematica},
pages = {269--286},
publisher = {mathdoc},
volume = {189},
number = {3},
year = {2008},
doi = {10.4064/sm189-3-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm189-3-5/}
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M. Cudna; T. Komorowski. Regularity of the effective diffusivity of random diffusion with respect to anisotropy coefficient. Studia Mathematica, Tome 189 (2008) no. 3, pp. 269-286. doi: 10.4064/sm189-3-5
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