Regularity of the effective diffusivity of random diffusion with respect to anisotropy coefficient

M. Cudna, and T. Komorowski. "Regularity of the effective diffusivity of random diffusion with respect to anisotropy coefficient." Studia Mathematica 189.3 (2008): 269-286. <http://eudml.org/doc/284591>.

@article{M2008,
abstract = {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 $C^\{∞\}$ smooth outside the origin. We provide a one-dimensional example which shows that the diffusivity coefficient need not be differentiable at 0.},
author = {M. Cudna, T. Komorowski},
journal = {Studia Mathematica},
keywords = {random diffusion; self-diffusivity matrix},
language = {eng},
number = {3},
pages = {269-286},
title = {Regularity of the effective diffusivity of random diffusion with respect to anisotropy coefficient},
url = {http://eudml.org/doc/284591},
volume = {189},
year = {2008},
}

TY - JOUR
AU - M. Cudna
AU - T. Komorowski
TI - Regularity of the effective diffusivity of random diffusion with respect to anisotropy coefficient
JO - Studia Mathematica
PY - 2008
VL - 189
IS - 3
SP - 269
EP - 286
AB - 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 $C^{∞}$ smooth outside the origin. We provide a one-dimensional example which shows that the diffusivity coefficient need not be differentiable at 0.
LA - eng
KW - random diffusion; self-diffusivity matrix
UR - http://eudml.org/doc/284591
ER -