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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/22689完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 王振男 | |
| dc.contributor.author | You-Ting Liao | en |
| dc.contributor.author | 廖又霆 | zh_TW |
| dc.date.accessioned | 2021-06-08T04:24:43Z | - |
| dc.date.copyright | 2010-07-02 | |
| dc.date.issued | 2010 | |
| dc.date.submitted | 2010-06-17 | |
| dc.identifier.citation | [1] H. B. Ameur, M. Burger and B. Hackl, Cavity identi cation in linear
elasticity and thermoelasticity, Math. Meth. Appl. Sci., Vol.30 Issue 6, pp. 625-647. [2] A. P. Calder on, On an inverse boundary value problem, in Seminar on Numerical Analysis and Its Applications to Continuum Physics, Sociedade Brasileira de Matem atica, R io de Janeiro, Brazil, 1980, pp. 65-73. [3] G. Eskin, Global uniqueness in the inverse scattering problem for the Schr odinger operator with external Yang-Mills potentials, Comm. Math. Phys., 222(2001), pp. 503-531. [4] G. Eskin and J. Ralston, On the inverse boundary value problem for linear isotropic elasticity and Cauchy-Riemann system, in Inverse Problems and Spectral Theory, Contemp. Math. 348, AMS, Providence, RI, 2004, pp. 53-69. [5] T. Ide, H. Isozaki, S. Nakata, S. Siltanen, and G. Uhlmann, Probing for electrical inclusions with complex spherical waves, Comm. Pure Appl. Math., 60(2007), pp. 1415-1442. [6] R. Kohn and M. Vogelius, Determining conductivity by boundary measurements, Comm. Pure Appl. Math. 37(1984), pp. 113-123. [7] V. Kozlov, V. Maz'ya, and A. Fomin, The inverse problem of coupled thermo-elasticity, Inverse Problems 10 (1994), pp. 153-160. [8] V. D. Kupradze, T. G. Gegelia, M. O. Basheleishvili, T. V. Burchuladze. Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity. North-Holland Publishing Company, Amsterdam, New York, Oxford, 1979. [9] Muskhelishvili NI. Some Basic Problems of the Mathematical Theory of Elasticity. North International Publishing: The Netherlands, 1975. [10] G. Nakamura and G. Uhlmann, Complex geometric optics solutions and pseudoanalytic matrices, in Ill-Posed and Inverse Problem, VSP, Zeist, The Netherlands, 2002, pp. 305-338. [11] J. Sylvester and G. Uhlmann, A global uniqueness theorem for an inverse boundary value problem, Ann. of Math. (2), 125 (1987), pp. 153-169. [12] G. Uhlmann and J.-N. Wang, Complex spherical waves for the elasticity system and probing of inclusions, SIAM J. Math. Anal.,38(2007), pp. 1967-1980. [13] G. Uhlmann and J.-N. Wang, Reconstructing discontinuities using complex geometrical optics solutions, SIAM J. Appl. Math., Vol.68(2008) No.4, pp. 1026-1044. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/22689 | - |
| dc.description.abstract | 在這篇論文裡，我們介紹彈性流體方程與熱彈性流體方程的基本知識，同時也給了複數幾何光學解的發展背景。最後我們推導出了熱彈性流體方程的複數幾何光學解。 | zh_TW |
| dc.description.abstract | In this paper we introduce some basic knowledge of elasticity and thermoelasticity. We also give some backgrounds of complex geometrical optics (CGO) solutions. In the end we will derive the CGO solutions of the thermoelasticity equation. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-08T04:24:43Z (GMT). No. of bitstreams: 1 ntu-99-R95221015-1.pdf: 423456 bytes, checksum: 39fd97d5aac850ab9c97404cb39f8b30 (MD5) Previous issue date: 2010 | en |
| dc.description.tableofcontents | 口試委員會審定書
誌謝……………………………………………………………………. i 中文摘要………………………………………………………………. ii 英文摘要……………………………………………………………. iii 1. Introduction……………………………………………………… 1 2. The Origin and The Basic Setting of The Thermoelasticity ……………………………………………………………………………1 3. Early Development of the CGO Solution………………….. 10 4. The Identifiability of the Inverse Problem of Thermoelastic System………… 16 5. The CGO Solution of Thermoelastic System………………… 17 REFERENCES…………………………………………………………… 22 | |
| dc.language.iso | en | |
| dc.subject | 唯一性 | zh_TW |
| dc.subject | 反問題 | zh_TW |
| dc.subject | 複數幾何光學解 | zh_TW |
| dc.subject | 彈性流體 | zh_TW |
| dc.subject | 熱彈性流體 | zh_TW |
| dc.subject | thermoelasticity | en |
| dc.subject | identifiability | en |
| dc.subject | inverse problems | en |
| dc.subject | complex geometrical optics solutions | en |
| dc.subject | elasticity | en |
| dc.title | 熱彈流方程的複數幾何光學解 | zh_TW |
| dc.title | Complex geometrical optics solutions for the thermoelasticity system | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 98-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 陳俊全,林景隆 | |
| dc.subject.keyword | 反問題,複數幾何光學解,彈性流體,熱彈性流體,唯一性, | zh_TW |
| dc.subject.keyword | inverse problems,complex geometrical optics solutions,elasticity,thermoelasticity,identifiability, | en |
| dc.relation.page | 23 | |
| dc.rights.note | 未授權 | |
| dc.date.accepted | 2010-06-20 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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|---|---|---|---|
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