Homogenization of monotone parabolic problems with an arbitrary number of spatial and temporal scales

Tatiana Danielsson; Liselott Flodén; Pernilla Johnsen; Marianne Olsson Lindberg

Applications of Mathematics (2024)

  • Issue: 1, page 1-24
  • ISSN: 0862-7940

Abstract

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We prove a general homogenization result for monotone parabolic problems with an arbitrary number of microscopic scales in space as well as in time, where the scale functions are not necessarily powers of the scale parameter ε . The main tools for the homogenization procedure are multiscale convergence and very weak multiscale convergence, both adapted to evolution problems.

How to cite

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Danielsson, Tatiana, et al. "Homogenization of monotone parabolic problems with an arbitrary number of spatial and temporal scales." Applications of Mathematics (2024): 1-24. <http://eudml.org/doc/299205>.

@article{Danielsson2024,
abstract = {We prove a general homogenization result for monotone parabolic problems with an arbitrary number of microscopic scales in space as well as in time, where the scale functions are not necessarily powers of the scale parameter $\varepsilon $. The main tools for the homogenization procedure are multiscale convergence and very weak multiscale convergence, both adapted to evolution problems.},
author = {Danielsson, Tatiana, Flodén, Liselott, Johnsen, Pernilla, Olsson Lindberg, Marianne},
journal = {Applications of Mathematics},
keywords = {homogenization; parabolic; monotone; two-scale convergence; multiscale convergence; very weak multiscale convergence},
language = {eng},
number = {1},
pages = {1-24},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Homogenization of monotone parabolic problems with an arbitrary number of spatial and temporal scales},
url = {http://eudml.org/doc/299205},
year = {2024},
}

TY - JOUR
AU - Danielsson, Tatiana
AU - Flodén, Liselott
AU - Johnsen, Pernilla
AU - Olsson Lindberg, Marianne
TI - Homogenization of monotone parabolic problems with an arbitrary number of spatial and temporal scales
JO - Applications of Mathematics
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 1
EP - 24
AB - We prove a general homogenization result for monotone parabolic problems with an arbitrary number of microscopic scales in space as well as in time, where the scale functions are not necessarily powers of the scale parameter $\varepsilon $. The main tools for the homogenization procedure are multiscale convergence and very weak multiscale convergence, both adapted to evolution problems.
LA - eng
KW - homogenization; parabolic; monotone; two-scale convergence; multiscale convergence; very weak multiscale convergence
UR - http://eudml.org/doc/299205
ER -

References

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