caa a22 4500 463183894 CHVBK 20180406164846.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s10492-007-0025-2 doi (NATIONALLICENCE)springer-10.1007/s10492-007-0025-2 Homogenization of some parabolic operators with several time scales [Elektronische Daten] [Liselott Flodén, Marianne Olsson] The main focus in this paper is on homogenization of the parabolic problem ∂ t uɛ − ∇ · (a(x/ɛ,t/ɛ,t/ɛ r )∇u ɛ ) = f. Under certain assumptions on a, there exists a G-limit b, which we characterize by means of multiscale techniques for r > 0, r ≠ 1. Also, an interpretation of asymptotic expansions in the context of two-scale convergence is made. Mathematical Institute, Academy of Sciences of Czech Republic, 2007 homogenization nationallicence G -convergence nationallicence multiscale convergence nationallicence parabolic nationallicence asymptotic expansion nationallicence Flodén Liselott Department of Engineering, Physics and Mathematics, Mid Sweden University, SE-831 25, Östersund, Sweden aut Olsson Marianne Department of Engineering, Physics and Mathematics, Mid Sweden University, SE-831 25, Östersund, Sweden aut Applications of Mathematics Springer-Verlag 52/5(2007-10-01), 431-446 0862-7940 52:5<431 2007 52 10492 https://doi.org/10.1007/s10492-007-0025-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10492-007-0025-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Flodén Liselott Department of Engineering, Physics and Mathematics, Mid Sweden University, SE-831 25, Östersund, Sweden aut NATIONALLICENCE 700 1- Olsson Marianne Department of Engineering, Physics and Mathematics, Mid Sweden University, SE-831 25, Östersund, Sweden aut NATIONALLICENCE 773 0- Applications of Mathematics Springer-Verlag 52/5(2007-10-01), 431-446 0862-7940 52:5<431 2007 52 10492 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer