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Asymptotic Analysis of Models for Geometric Motions
Asymptotic Analysis of Models for Geometric Motions
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211151407
- ISBN
- 9798342102308
- DDC
- 621
- 저자명
- Glenn, Gavin.
- 서명/저자
- Asymptotic Analysis of Models for Geometric Motions
- 발행사항
- [Sl] : Purdue University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 70 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-04, Section: B.
- 주기사항
- Advisor: Yip, Nung Kwan.
- 학위논문주기
- Thesis (Ph.D.)--Purdue University, 2024.
- 초록/해제
- 요약In Chapter 1, we introduce geometric motions from the general perspective of gradient flows. Here we develop the basic framework in which to pose the two main results of this thesis.In Chapter 2, we examine the pinch-off phenomenon for a tubular surface moving by surface diffusion. We prove the existence of a one parameter family of pinching profiles obeying a long wavelength approximation of the dynamics.In Chapter 3, we study a diffusion-based numerical scheme for curve shortening flow. We prove that the scheme is one time-step consistent.
- 일반주제명
- Energy
- 일반주제명
- Graph representations
- 기타저자
- Purdue University.
- 기본자료저록
- Dissertations Abstracts International. 86-04B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798342102308
■035 ▼a(MiAaPQ)AAI31285263
■035 ▼a(MiAaPQ)25213649
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a621
■1001 ▼aGlenn, Gavin.
■24510▼aAsymptotic Analysis of Models for Geometric Motions
■260 ▼a[Sl]▼bPurdue University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a70 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-04, Section: B.
■500 ▼aAdvisor: Yip, Nung Kwan.
■5021 ▼aThesis (Ph.D.)--Purdue University, 2024.
■520 ▼aIn Chapter 1, we introduce geometric motions from the general perspective of gradient flows. Here we develop the basic framework in which to pose the two main results of this thesis.In Chapter 2, we examine the pinch-off phenomenon for a tubular surface moving by surface diffusion. We prove the existence of a one parameter family of pinching profiles obeying a long wavelength approximation of the dynamics.In Chapter 3, we study a diffusion-based numerical scheme for curve shortening flow. We prove that the scheme is one time-step consistent.
■590 ▼aSchool code: 0183.
■650 4▼aEnergy
■650 4▼aGraph representations
■690 ▼a0791
■71020▼aPurdue University.
■7730 ▼tDissertations Abstracts International▼g86-04B.
■790 ▼a0183
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17161522▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
