Details
| Original language | English |
|---|---|
| Pages (from-to) | 6529-6546 |
| Number of pages | 18 |
| Journal | Discrete and Continuous Dynamical Systems- Series A |
| Volume | 40 |
| Issue number | 11 |
| Publication status | Published - Jul 2020 |
| Externally published | Yes |
Abstract
We study the heat equation in the exterior of the unit ball with a linear dynamical boundary condition. Our main aim is to find upper and lower bounds for the rate of convergence to solutions of the Laplace equation with the same dynamical boundary condition as the diffusion coefficient tends to infinity.
Keywords
- Convergence rate, Dynamical boundary condition, Exterior domain, Heat equation, Large diffusion limit
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Discrete Mathematics and Combinatorics
- Mathematics(all)
- Applied Mathematics
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In: Discrete and Continuous Dynamical Systems- Series A, Vol. 40, No. 11, 07.2020, p. 6529-6546.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The large diffusion limit for the heat equation in the exterior of the unit ball with a dynamical boundary condition
AU - Fila, Marek
AU - Ishige, Kazuhiro
AU - Kawakami, Tatsuki
AU - Lankeit, Johannes
N1 - Funding Information: Acknowledgments. The first author was supported in part by the Slovak Research and Development Agency under the contract No. APVV-18-0308 and by VEGA grant 1/0347/18. The second and third authors of this paper were supported in part by JSPS KAKENHI Grant Numbers JP 19H05599. The third author was also supported in part by JSPS KAKENHI Grant Numbers JP 16K17629 and JP 20K03689. Publisher Copyright: © 2020 American Institute of Mathematical Sciences. All rights reserved.
PY - 2020/7
Y1 - 2020/7
N2 - We study the heat equation in the exterior of the unit ball with a linear dynamical boundary condition. Our main aim is to find upper and lower bounds for the rate of convergence to solutions of the Laplace equation with the same dynamical boundary condition as the diffusion coefficient tends to infinity.
AB - We study the heat equation in the exterior of the unit ball with a linear dynamical boundary condition. Our main aim is to find upper and lower bounds for the rate of convergence to solutions of the Laplace equation with the same dynamical boundary condition as the diffusion coefficient tends to infinity.
KW - Convergence rate
KW - Dynamical boundary condition
KW - Exterior domain
KW - Heat equation
KW - Large diffusion limit
UR - http://www.scopus.com/inward/record.url?scp=85089905140&partnerID=8YFLogxK
U2 - 10.3934/dcds.2020289
DO - 10.3934/dcds.2020289
M3 - Article
AN - SCOPUS:85089905140
VL - 40
SP - 6529
EP - 6546
JO - Discrete and Continuous Dynamical Systems- Series A
JF - Discrete and Continuous Dynamical Systems- Series A
SN - 1078-0947
IS - 11
ER -