A note on asymptotic expansion for a periodic boundary condition
Archivum Mathematicum (1998)
- Volume: 034, Issue: 1, page 83-92
- ISSN: 0044-8753
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topFilo, Ján. "A note on asymptotic expansion for a periodic boundary condition." Archivum Mathematicum 034.1 (1998): 83-92. <http://eudml.org/doc/248188>.
@article{Filo1998,
abstract = {The aim of this contribution is to present a new result concerning asymptotic expansion of solutions of the heat equation with periodic Dirichlet–Neuman boundary conditions with the period going to zero in $3$D.},
author = {Filo, Ján},
journal = {Archivum Mathematicum},
keywords = {Heat equation; asymptotic expansion; homogenization; periodic Dirichlet-Neumann boundary conditions; period of order },
language = {eng},
number = {1},
pages = {83-92},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A note on asymptotic expansion for a periodic boundary condition},
url = {http://eudml.org/doc/248188},
volume = {034},
year = {1998},
}
TY - JOUR
AU - Filo, Ján
TI - A note on asymptotic expansion for a periodic boundary condition
JO - Archivum Mathematicum
PY - 1998
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 034
IS - 1
SP - 83
EP - 92
AB - The aim of this contribution is to present a new result concerning asymptotic expansion of solutions of the heat equation with periodic Dirichlet–Neuman boundary conditions with the period going to zero in $3$D.
LA - eng
KW - Heat equation; asymptotic expansion; homogenization; periodic Dirichlet-Neumann boundary conditions; period of order
UR - http://eudml.org/doc/248188
ER -
References
top- J. Bear, Hydraulics of Groundwater, McGraw-Hill, Inc. New-York 1979. (1979)
- H. W. Alt, S. Luckhaus, Quasilinear elliptic–parabolic differential equations, Math. Z., 183 (1983), 311-341. (1983) Zbl0497.35049MR0706391
- J. Filo, S. Luckhaus, Asymptotic expansion for a periodic boundary condition, J. Diff. Equations, 120 (1995), 133–173. (1995) Zbl0849.35043MR1339672
- S. Luckhaus, J. Filo, Asymptotic expansion for periodic boundary conditions in more space dimensions, in preparation.
- O. A. Ladyzenskaja V. A. Solonikov, N. N. Uralceva, Linear and Quasilinear Equations of Parabolic Type, Translations of Mathematical Monographs, Vol. 23, Amer. Math. Soc., Providence, R1., 1968. (1968)
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