LARGE-TIME ASYMPTOTIC OF THE SOLUTION TO THE DIFFUSION EQUATION AND ITS APPLICATION TO HOMOGENIZATION ESTIMATES

LARGE-TIME ASYMPTOTIC OF THE SOLUTION TO THE DIFFUSION EQUATION AND ITS APPLICATION TO HOMOGENIZATION ESTIMATES

The Cauchy problem for a linear second order parabolic equation with 1-periodic measurable coefficients is considered Rd, d ≥ 2. The problem models diffusion in a nonhomogeneous periodic medium. The appropriate diffusion operator A is self-adjoint in L2 (Rd). The large-time behaviour of the solution...

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Bibliographic Details
Main Authors: S. E. Pastukhova, O. A. Evseeva
Format: Article
Language:Russian
Published: MIREA - Russian Technological University 2017-10-01
Series:Российский технологический журнал
Subjects:
diffusion equation
effective diffusion
homogenized operator
fundamental solution
cell problems
large-time asymptotic
homogenization estimates in lebesgue norms
Online Access:https://www.rtj-mirea.ru/jour/article/view/87

Internet

https://www.rtj-mirea.ru/jour/article/view/87

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