Homogenization of degenerate quasilinear parabolic equations with periodic structure

Article type: Research Article

Authors: Huang, Yong | Su, Ning | Zhang, Xingyou

Affiliations: Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P.R. China E-mails: huangyong04@mails.tsinghua.edu.cn, nsu@math.tsinghua.edu.cn | College of Mathematics and Physics, Chongqing University, Chongqing 400030, P.R. China E-mail: zhangxy@cqu.edu.cn

Abstract: In this paper the homogenization of degenerate quasilinear parabolic equations \[\curpartial _{t}u-\mathop {\mathrm {div}}\nolimits a\Bigl(\frac{t}{\varepsilon},\frac{x}{\varepsilon},u,\nabla u\Bigr)=f(t,x)\] is studied via a weighted compensated compactness result, where a(t,y,α,λ) is periodic in (t,y).

Keywords: degenerate parabolic equations, homogenization, compensated compactness

Journal: Asymptotic Analysis, vol. 48, no. 1-2, pp. 77-89, 2006