| Title:
|
A note on asymptotic expansion for a periodic boundary condition (English) |
| Author:
|
Filo, Ján |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
34 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
83-92 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Heat equation |
| Keyword:
|
asymptotic expansion |
| Keyword:
|
homogenization |
| MSC:
|
35B10 |
| MSC:
|
35B27 |
| MSC:
|
35C20 |
| MSC:
|
35K05 |
| MSC:
|
35K10 |
| idZBL:
|
Zbl 0911.35014 |
| idMR:
|
MR1629668 |
| . |
| Date available:
|
2009-02-17T10:10:27Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107635 |
| . |
| Reference:
|
[1] J. Bear: Hydraulics of Groundwater.McGraw-Hill, Inc. New-York 1979. |
| Reference:
|
[2] H. W. Alt, S. Luckhaus: Quasilinear elliptic–parabolic differential equations.Math. Z., 183 (1983), 311-341. Zbl 0497.35049, MR 0706391 |
| Reference:
|
[3] J. Filo, S. Luckhaus: Asymptotic expansion for a periodic boundary condition.J. Diff. Equations, 120 (1995), 133–173. Zbl 0849.35043, MR 1339672 |
| Reference:
|
[4] S. Luckhaus, J. Filo: Asymptotic expansion for periodic boundary conditions in more space dimensions.in preparation. |
| Reference:
|
[5] 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. |
| . |
