Regularity of the effective diffusivity of random diffusion with respect to anisotropy coefficient
M. Cudna ; T. Komorowski
Studia Mathematica, Tome 187 (2008), p. 269-286 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:284591 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm189-3-5,
     author = {M. Cudna and T. Komorowski},
     title = {Regularity of the effective diffusivity of random diffusion with respect to anisotropy coefficient},
     journal = {Studia Mathematica},
     volume = {187},
     year = {2008},
     pages = {269-286},
     zbl = {1165.60034},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm189-3-5}
}

M. Cudna; T. Komorowski. Regularity of the effective diffusivity of random diffusion with respect to anisotropy coefficient. Studia Mathematica, Tome 187 (2008) pp. 269-286. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm189-3-5/