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Anomalous Dissipation of Passive Scalars
Anomalous Dissipation of Passive Scalars
Detailed Information
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103048
- ISBN
- 9798286424405
- DDC
- 510
- 저자명
- Rowan, Keefer.
- 서명/저자
- Anomalous Dissipation of Passive Scalars
- 발행사항
- [Sl] : New York University, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 150 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
- 주기사항
- Advisor: Armstrong, Scott;Vicol, Vlad.
- 학위논문주기
- Thesis (Ph.D.)--New York University, 2025.
- 초록/해제
- 요약We discuss anomalous dissipation of passive scalars. That is, we study solutions to the passive scalar equation on \uD835\uDD4B\uD835\uDC51,\uD835\uDF15\uD835\uDC61\uD835\uDF03\uD835\uDF05 − \uD835\uDF05Δ\uD835\uDF03\uD835\uDF05 + \uD835\uDC62 · ∇\uD835\uDF03\uD835\uDF05 = 0,for some divergence-free advecting flow \uD835\uDC62 : [0, ∞) x \uD835\uDD4B\uD835\uDC51 → ℝ\uD835\uDC51 with low regularity \uD835\uDC62 ∈ \uD835\uDC36\uD835\uDEFC\uD835\uDC65 for some \uD835\uDEFC ∈ (0, 1) and we show persistence of dissipation even in the zero-dissipativity limit:lim sup\uD835\uDF05→0 ∥\uD835\uDF03\uD835\uDF05 ∥2\uD835\uDC3F2\uD835\uDC65 (0) − ∥\uD835\uDF03\uD835\uDF05∥2\uD835\uDC3F2\uD835\uDC65 (\uD835\uDC61) 0.We provide three different scenarios under which one can prove anomalous dissipation: the stochastic Kraichnan model, the singular accelerated relaxation enhancing flows, and an iterated self-similar mixer.
- 일반주제명
- Mathematics
- 일반주제명
- Statistical physics
- 일반주제명
- Applied physics
- 일반주제명
- Fluid mechanics
- 키워드
- Probability
- 키워드
- Turbulence
- 키워드
- Kraichnan model
- 기타저자
- New York University Mathematics
- 기본자료저록
- Dissertations Abstracts International. 86-12B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
008260126s2025 us c eng d■001000017356850
■00520260202103048
■006m o d
■007cr#unu||||||||
■020 ▼a9798286424405
■035 ▼a(MiAaPQ)AAI31931237
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aRowan, Keefer.
■24510▼aAnomalous Dissipation of Passive Scalars
■260 ▼a[Sl]▼bNew York University▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a150 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-12, Section: B.
■500 ▼aAdvisor: Armstrong, Scott;Vicol, Vlad.
■5021 ▼aThesis (Ph.D.)--New York University, 2025.
■520 ▼aWe discuss anomalous dissipation of passive scalars. That is, we study solutions to the passive scalar equation on \uD835\uDD4B\uD835\uDC51,\uD835\uDF15\uD835\uDC61\uD835\uDF03\uD835\uDF05 − \uD835\uDF05Δ\uD835\uDF03\uD835\uDF05 + \uD835\uDC62 · ∇\uD835\uDF03\uD835\uDF05 = 0,for some divergence-free advecting flow \uD835\uDC62 : [0, ∞) x \uD835\uDD4B\uD835\uDC51 → ℝ\uD835\uDC51 with low regularity \uD835\uDC62 ∈ \uD835\uDC36\uD835\uDEFC\uD835\uDC65 for some \uD835\uDEFC ∈ (0, 1) and we show persistence of dissipation even in the zero-dissipativity limit:lim sup\uD835\uDF05→0 ∥\uD835\uDF03\uD835\uDF05 ∥2\uD835\uDC3F2\uD835\uDC65 (0) − ∥\uD835\uDF03\uD835\uDF05∥2\uD835\uDC3F2\uD835\uDC65 (\uD835\uDC61) 0.We provide three different scenarios under which one can prove anomalous dissipation: the stochastic Kraichnan model, the singular accelerated relaxation enhancing flows, and an iterated self-similar mixer.
■590 ▼aSchool code: 0146.
■650 4▼aMathematics
■650 4▼aStatistical physics
■650 4▼aApplied physics
■650 4▼aFluid mechanics
■653 ▼aPartial differential equations
■653 ▼aProbability
■653 ▼aTurbulence
■653 ▼aPassive scalar equation
■653 ▼aKraichnan model
■690 ▼a0405
■690 ▼a0217
■690 ▼a0215
■690 ▼a0204
■71020▼aNew York University▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g86-12B.
■790 ▼a0146
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17356850▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
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