Zobrazeno 1 - 4
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pro vyhledávání: '"Tatiana Lobkova"'
Autor:
Pernilla Johnsen, Tatiana Lobkova
Publikováno v:
Applications of Mathematics. 63:503-521
This paper is devoted to the study of the linear parabolic problem $$\varepsilon\partial_t{u_\varepsilon}(x,t)-\nabla\cdot(a(x/\varepsilon, t/\varepsilon^3)\nabla{u_\varepsilon}(x,t))=f(x,t)$$ by means of periodic homogenization. Two interesting phen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d6c0d676ddd499bf685d6ea75cd6d533
https://doi.org/10.21136/am.2018.0350-17
https://doi.org/10.21136/am.2018.0350-17
Autor:
Tatiana Lobkova
In this article, we study homogenization of a parabolic linear problem governed by a coefficient matrix with rapid spatial and temporal oscillations in periodically perforated domains with homogeneous Neumann data on the boundary of the holes. We pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d62d4f5049202dc892e9ddd9821ff372
http://arxiv.org/abs/1704.01483
http://arxiv.org/abs/1704.01483
Autor:
Liselott Flodén, Jens Persson, Marianne Olsson Lindberg, Pernilla Jonasson, Tatiana Lobkova, Anders Holmbom
Publikováno v:
Progress in Industrial Mathematics at ECMI 2016 ISBN: 9783319630816
We study the homogenization of a certain linear hyperbolic-parabolic problem exhibiting two rapid spatial scales {ε; ε2}. The homogenization is performed by means of evolution multiscale convergence, a generalization of the concept of two-scale con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b20e3935f43fd9fc186b82325d15d7c8
https://doi.org/10.1007/978-3-319-63082-3_94
https://doi.org/10.1007/978-3-319-63082-3_94
Autor:
Pernilla Jonasson, Liselott Flodén, Ye Zhang, Anders Holmbom, M. Olsson Lindberg, Tatiana Lobkova
Publikováno v:
AIP Conference Proceedings.
We study the homogenization of a hyperbolic-parabolic PDE with oscillations in one fast spatial scale. Moreover, the first order time derivative has a degenerate coefficient passing to infinity when e→0. We obtain a local problem which is of ellipt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::98f586e754f9bffd25767d7fc3021d1e
https://doi.org/10.1063/1.4972769
https://doi.org/10.1063/1.4972769