# 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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