Repository at Hanyang UniversityCOLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학)APPLIED MATHEMATICS(응용수학과)Articles
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | 송종철 | - |
| dc.date.accessioned | 2018-11-06T00:39:43Z | - |
| dc.date.available | 2018-11-06T00:39:43Z | - |
| dc.date.issued | 2008-03 | - |
| dc.identifier.citation | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 68, No. 10, Page. 3115-3121 | en_US |
| dc.identifier.issn | 0362-546X | - |
| dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S0362546X07001988?via%3Dihub | - |
| dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/80242 | - |
| dc.description.abstract | In this paper we derive in explicit decay bound for L-2 bound for the difference of the Benard convection problem and its linearized problem if the Rayleigh number Ra is less than the critical Rayleigh number Ra-c predicted by the linear stability theory. In fact, if Ra Ra-c, it is shown that this L-2 bound for the difference decays exponentially in time for the initial amplitude O(e(2 gamma t)) with gamma > 0 regardless of the Prandtl number. (C) 2007 Elsevier Ltd. All rights reserved. | en_US |
| dc.description.sponsorship | The author thanks a referee for thoughtful comments and suggestions. This work was supported by the research fund of Hanyang University (HY-2006-I). | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | en_US |
| dc.subject | decay bounds | en_US |
| dc.subject | differential inequality | en_US |
| dc.subject | stability | en_US |
| dc.subject | Benard convection | en_US |
| dc.title | Comparison of the Benard convection problem with its linearized problem | en_US |
| dc.type | Article | en_US |
| dc.identifier.doi | 10.1016/j.na.2007.03.004 | - |
| dc.relation.journal | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | - |
| dc.contributor.googleauthor | Song, J. C. | - |
| dc.relation.code | 2008207129 | - |
| dc.sector.campus | E | - |
| dc.sector.daehak | COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E] | - |
| dc.sector.department | DEPARTMENT OF APPLIED MATHEMATICS | - |
| dc.identifier.pid | jcsong | - |
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