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  • 1
    Online Resource
    Online Resource
    Providence :American Mathematical Society,
    Keywords: Fluid mechanics. ; Electronic books.
    Type of Medium: Online Resource
    Pages: 1 online resource (132 pages)
    Edition: 1st ed.
    ISBN: 9781470465247
    Series Statement: Memoirs of the American Mathematical Society Series ; v.270
    DDC: 532
    Language: English
    Note: Cover -- Title page -- Chapter 1. Introduction -- 1.1. Presentation of the problem -- 1.2. Some known results -- 1.3. Main results -- 1.4. Main ideas -- Chapter 2. Tools of paradifferential operators -- 2.1. Paradifferential operators -- 2.2. Functional spaces -- 2.3. Symbolic calculus -- 2.4. Tame estimates in Sobolev space -- 2.5. Tame estimates in Chemin-Lerner spaces -- 2.6. Commutator estimates -- Chapter 3. Parabolic evolution equation -- Chapter 4. Elliptic estimates in a strip -- 4.1. Elliptic boundary problem -- 4.2. Flattening the boundary and paralinearization -- 4.3. Elliptic estimates in Sobolev space -- 4.4. Tame elliptic estimates -- 4.5. Elliptic estimates in Besov space -- 4.6. Interior ^{1, } estimate -- Chapter 5. Dirichlet-Neumann operator -- 5.1. Definition and paralinearization -- 5.2. Sobolev estimate of the remainder -- 5.3. Tame estimate of the remainder -- 5.4. Hölder estimate of the remainder -- Chapter 6. New formulation and paralinearization -- 6.1. New formulation -- 6.2. Paralinearization -- Chapter 7. Estimate of the pressure -- 7.1. ² estimate of the pressure -- 7.2. Hölder estimate of the pressure -- 7.3. Sobolev estimate of the pressure -- 7.4. Estimate of -- Chapter 8. Estimate of the velocity -- 8.1. Sobolev estimate of the velocity -- 8.2. The estimate of the irrotational part -- 8.3. The estimate of the rotational part -- Chapter 9. Proof of break-down criterion -- 9.1. The ¹ energy estimate -- 9.2. Energy estimate of the trace of the velocity and the free surface -- 9.3. Energy estimate of the vorticity -- 9.4. Nonlinear estimates -- 9.5. Energy functional -- 9.6. Proof of Theorem 1.3 -- Chapter 10. Iteration scheme -- 10.1. Strategy -- 10.2. Iteration scheme -- 10.3. Existence of iteration scheme -- Chapter 11. Uniform energy estimates -- 11.1. Set-up -- 11.2. Energy functional. , 11.3. Estimate of the velocity -- 11.4. Estimate of the pressure -- 11.5. Estimates of the remainder of DN operator -- 11.6. Energy estimates -- 11.7. Nonlinear estimates -- 11.8. Completion of the uniform estimate -- Chapter 12. Cauchy sequence and the limit system -- 12.1. Set-up -- 12.2. Elliptic estimates with a parameter -- 12.3. Energy estimates -- 12.4. The limit system -- Chapter 13. From the limit system to the Euler equations -- Chapter 14. Proof of Theorem 1.1 -- 14.1. Construction of approximate smooth solution -- 14.2. Uniform estimates and existence -- 14.3. Uniqueness of the solution -- Acknowledgement -- Bibliography -- Back Cover.
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  • 2
    Publication Date: 2022-05-26
    Description: Author Posting. © American Geophysical Union, 2017. This article is posted here by permission of American Geophysical Union for personal use, not for redistribution. The definitive version was published in Journal of Geophysical Research: Biogeosciences 122 (2017): 3405–3418, doi:10.1002/2017JG004100.
    Description: The Kuroshio intrusion from the West Philippine Sea (WPS) and mesoscale eddies are important hydrological features in the northern South China Sea (SCS). In this study, absorption and fluorescence of dissolved organic matter (CDOM and FDOM) were determined to assess the impact of these hydrological features on DOM dynamics in the SCS. DOM in the upper 100 m of the northern SCS had higher absorption, fluorescence, and degree of humification than in the Kuroshio Current of the WPS. The results of an isopycnal mixing model showed that CDOM and humic-like FDOM inventories in the upper 100 m of the SCS were modulated by the Kuroshio intrusion. However, protein-like FDOM was influenced by in situ processes. This basic trend was modified by mesoscale eddies, three of which were encountered during the fieldwork (one warm eddy and two cold eddies). DOM optical properties inside the warm eddy resembled those of DOM in the WPS, indicating that warm eddies could derive from the Kuroshio Current through Luzon Strait. DOM at the center of cold eddies was enriched in humic-like fluorescence and had lower spectral slopes than in eddy-free waters, suggesting inputs of humic-rich DOM from upwelling and enhanced productivity inside the eddy. Excess CDOM and FDOM in northern SCS intermediate water led to export to the Pacific Ocean interior, potentially delivering refractory carbon to the deep ocean. This study demonstrated that DOM optical properties are promising tools to study active marginal sea-open ocean interactions.
    Description: National Natural Science Foundation of China Grant Numbers: U1305231, 41276064
    Description: 2018-06-29
    Keywords: Dissolved organic matter ; Absorption and fluorescence ; South China Sea ; Kuroshio intrusion ; Mesoscale eddy
    Repository Name: Woods Hole Open Access Server
    Type: Article
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