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homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection

Published online by Cambridge University Press:  04 October 2005

eduard marušić-paloka  and
andrey l. piatnitski
eduard marušić-paloka
Affiliation:
department of mathematics, university of zagreb, bijenička 30, 10000 zagreb, croatia
andrey l. piatnitski
Affiliation:
narvik institute of technology, po box 385, 8501 narvik, norway lebedev physical institute ras, leninski prospect 53, moscow 117924, russia
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Abstract

a cauchy problem for a nonlinear convection-diffusion equation with periodic rapidly oscillating coefficients is studied. under the assumption that the convection term is large, it is proved that the limit (homogenized) equation is a nonlinear diffusion equation which shows dispersion effects. the convergence of the homogenization procedure is justified by using a new version of a two-scale convergence technique adapted to rapidly moving coordinates.

Keywords

35b2735b4035c2035k55
Type
notes and papers
Information
Journal of the London Mathematical Society , Volume 72 , Issue 2 , October 2005 , pp. 391 - 409
Copyright
the london mathematical society 2005

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