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

• Autores: Eduard Marusic-Paloka, Andrey L. Piatnitski
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 72, Nº 2, 2005, págs. 391-409
• Idioma: inglés
• DOI: 10.1112/s0024610705006824
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• Resumen

  • 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.