Asymptotic Approximation of a Solution of a Quasilinear Parabolic Boundary-value Problem in a Two-level Thick Junction of Type 3:2:2
نویسنده
چکیده
We consider a quasilinear parabolic boundary-value problem in a two-level thick junction Ωε of type 3 : 2 : 2, which is the union of a cylinder Ω0 and a large number of ε-periodically situated thin discs with variable thickness. Different Robin boundary conditions with perturbed parameters are given on the surfaces of the thin discs. The leading terms of the asymptotic expansion are constructed and the corresponding estimate in Sobolev space is obtained.
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