Relevant bibliographies by topics / Banach manifold with uniform structure

Academic literature on the topic 'Banach manifold with uniform structure'

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Published: 30 May 2022
Last updated: 31 May 2022

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Journal articles on the topic "Banach manifold with uniform structure"

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Bogdanskii, Yu V., and E. V. Moravetskaya. "Surface Measures on Banach Manifolds with Uniform Structure." Ukrainian Mathematical Journal 69, no. 8 (December 3, 2017): 1196–219. http://dx.doi.org/10.1007/s11253-017-1425-4.

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Moravets’ka, K. V. "Differentiability of Borel Measures Along Vector Fields on Banach Manifolds with Uniform Structure." Ukrainian Mathematical Journal 68, no. 10 (March 2017): 1552–73. http://dx.doi.org/10.1007/s11253-017-1312-z.

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Bogdanskii, Yu V., and E. V. Moravetskaya. "Transitivity of the Surface Measures on Banach Manifolds with Uniform Structures." Ukrainian Mathematical Journal 69, no. 10 (March 2018): 1507–19. http://dx.doi.org/10.1007/s11253-018-1452-9.

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Halakatti, S. C. P., and Archana Halijol. "Fuzzy smooth homotopy on fuzzy Banach manifold." Journal of Advanced Studies in Topology 8, no. 2 (October 14, 2017): 117. http://dx.doi.org/10.20454/jast.2017.1293.

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In this paper the structure of fuzzy Banach manifolds has been enriched by inducing three different equivalence relations on fuzzy Banach atlases. Also a Network fuzzy Banach manifold has been defined admitting two equivalence relation and two group structures. Further we define fuzzy smooth homotopy on fuzzy Banach manifold and the study has been extended for three different fuzzy path connectedness inducing equivalence relations and fundamental group structure which is invariant under fuzzy homeomorphism.
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Kalton, N. J. "The uniform structure of Banach spaces." Mathematische Annalen 354, no. 4 (December 1, 2011): 1247–88. http://dx.doi.org/10.1007/s00208-011-0743-3.

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Kalton, N. J. "Uniform homeomorphisms of Banach spaces and asymptotic structure." Transactions of the American Mathematical Society 365, no. 2 (September 13, 2012): 1051–79. http://dx.doi.org/10.1090/s0002-9947-2012-05665-0.

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Finster, Felix, and Magdalena Lottner. "Banach manifold structure and infinite-dimensional analysis for causal fermion systems." Annals of Global Analysis and Geometry 60, no. 2 (May 31, 2021): 313–54. http://dx.doi.org/10.1007/s10455-021-09775-4.

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AbstractA mathematical framework is developed for the analysis of causal fermion systems in the infinite-dimensional setting. It is shown that the regular spacetime point operators form a Banach manifold endowed with a canonical Fréchet-smooth Riemannian metric. The so-called expedient differential calculus is introduced with the purpose of treating derivatives of functions on Banach spaces which are differentiable only in certain directions. A chain rule is proven for Hölder continuous functions which are differentiable on expedient subspaces. These results are made applicable to causal fermion systems by proving that the causal Lagrangian is Hölder continuous. Moreover, Hölder continuity is analyzed for the integrated causal Lagrangian.
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Mishra, Pradip. "Darboux chart on projective limit of weak symplectic Banach manifold." International Journal of Geometric Methods in Modern Physics 12, no. 07 (July 10, 2015): 1550072. http://dx.doi.org/10.1142/s0219887815500723.

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Suppose M be the projective limit of weak symplectic Banach manifolds {(Mi, ϕij)}i, j∈ℕ, where Mi are modeled over reflexive Banach space and σ is compatible with the projective system (defined in the article). We associate to each point x ∈ M, a Fréchet space Hx. We prove that if Hx are locally identical, then with certain smoothness and boundedness condition, there exists a Darboux chart for the weak symplectic structure.
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Smith, Mark A., and Barry Turett. "Some examples concerning normal and uniform normal structure in Banach spaces." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 48, no. 2 (April 1990): 223–34. http://dx.doi.org/10.1017/s1446788700035655.

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AbstractExamples are given that show the following: (1) normal structure need not be inherited by quotient spaces; (2) uniform normal structure is not a self-dual property; and (3) no degree of k–uniform rotundity need be present in a space with uniform normal structure.
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Eichhorn, Jürgen. "The Banach manifold structure of the space of metrics on noncompact manifolds." Differential Geometry and its Applications 1, no. 2 (September 1991): 89–108. http://dx.doi.org/10.1016/0926-2245(91)90024-4.

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Dissertations / Theses on the topic "Banach manifold with uniform structure"

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Huff, Cheryl Rae. "Countable Additivity, Exhaustivity, and the Structure of Certain Banach Lattices." Thesis, University of North Texas, 1999. https://digital.library.unt.edu/ark:/67531/metadc278330/.

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The notion of uniform countable additivity or uniform absolute continuity is present implicitly in the Lebesgue Dominated Convergence Theorem and explicitly in the Vitali-Hahn-Saks and Nikodym Theorems, respectively. V. M. Dubrovsky studied the connection between uniform countable additivity and uniform absolute continuity in a series of papers, and Bartle, Dunford, and Schwartz established a close relationship between uniform countable additivity in ca(Σ) and operator theory for the classical continuous function spaces C(K). Numerous authors have worked extensively on extending and generalizing the theorems of the preceding authors. Specifically, we mention Bilyeu and Lewis as well as Brooks and Drewnowski, whose efforts molded the direction and focus of this paper. This paper is a study of the techniques used by Bell, Bilyeu, and Lewis in their paper on uniform exhaustivity and Banach lattices to present a Banach lattice version of two important and powerful results in measure theory by Brooks and Drewnowski. In showing that the notions of exhaustivity and continuity take on familiar forms in certain Banach lattices of measures they show that these important measure theory results follow as corollaries of the generalized Banach lattice versions. This work uses their template to generalize results established by Bator, Bilyeu, and Lewis.
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Моравецька, Катерина Вiталiївна. "Мiри на банахових многовидах з рiвномiрною структурою." Doctoral thesis, Київ, 2018. https://ela.kpi.ua/handle/123456789/26061.

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Дисертацiя присвячена диференцiйовним мiрам на банахових многовидах з рiвномiрною структурою. Запропоновано метод побудови асоцiйованих мiр на поверхнях скiнченної корозмiрностi, вкладених у банахiв многовид з рiвномiрною структурою. Введено поняття асоцiйованої диференцiальної форми поверхнi та строго трансверсального до поверхнi набору векторних полiв. Доведено теорему “про узгодженiсть”, згiдно з якою поверхнева мiра задається однозначно асоцiйованою диференцiальною формою поверхнi. Показано транзитивнiсть запропонованої конструкцiї. На прикладi мiри Лебега в скiнченновимiрному просторi Rn та мiри об’єму на рiмановому многовидi з рiвномiрною структурою обґрунтовано її адекватнiсть. Отримано узагальнення низки результатiв з теорiї диференцiйовних мiр на лiнiйних просторах на випадок банахових многовидiв з рiвномiрною структурою. Доведено критерiй слабкої диференцiйовностi мiри уздовж обмеженого векторного поля, що узагальнює вiдомий результат В. I. Богачова.
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Freeman, Daniel B. "Upper Estimates for Banach Spaces." 2009. http://hdl.handle.net/1969.1/ETD-TAMU-2009-08-7100.

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We study the relationship of dominance for sequences and trees in Banach spaces. In the context of sequences, we prove that domination of weakly null sequences is a uniform property. More precisely, if $(v_i)$ is a normalized basic sequence and $X$ is a Banach space such that every normalized weakly null sequence in $X$ has a subsequence that is dominated by $(v_i)$, then there exists a uniform constant $C\geq1$ such that every normalized weakly null sequence in $X$ has a subsequence that is $C$-dominated by $(v_i)$. We prove as well that if $V=(v_i)_{i=1}^\infty$ satisfies some general conditions, then a Banach space $X$ with separable dual has subsequential $V$ upper tree estimates if and only if it embeds into a Banach space with a shrinking FDD which satisfies subsequential $V$ upper block estimates. We apply this theorem to Tsirelson spaces to prove that for all countable ordinals $\alpha$ there exists a Banach space $X$ with Szlenk index at most $\omega^{\alpha \omega +1}$ which is universal for all Banach spaces with Szlenk index at most $\omega^{\alpha\omega}$.
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Books on the topic "Banach manifold with uniform structure"

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Schmid, Hans-Jörg. The Dynamics of the Linguistic System. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198814771.001.0001.

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This book develops a model of language which can be characterized as functionalist, usage-based, dynamic, and complex-adaptive. Its core idea is that linguistic structure is not stable and uniform, but continually refreshed and in fact reconstituted by the feedback-loop interaction of three components: usage, i.e. the interpersonal and cognitive activities of speakers in concrete communication; conventionalization, i.e. the social processes taking place in speech communities; and entrenchment, i.e. the cognitive processes taking place in the minds of individual speakers. Extending the so-called Entrenchment-and-Conventionalization Model, the book shows that what we call the Linguistic System is created, sustained, and continually adapted by the ongoing interaction between usage, conventionalization, and entrenchment. The model contributes to closing the gap in usage-based models concerning how exactly usage is transformed into collective and individual grammar and how these two grammars in turn feed back into usage. The book exploits and extends insights from an exceptionally wide range of fields, including usage-based cognitive linguistics, psycholinguistics, interactional linguistics and pragmatics, historical linguistics, sociolinguistics and the sociology and philosophy of language, as well as quantitative corpus linguistics. It makes numerous original suggestions about, among other things, how cognitive processing and representation are related and about the manifold ways in which individuals and communities contribute to shaping language and bringing about language variation and change. It presents a coherent account of the role of forces that are known to affect language structure, variation, and change, e.g. economy, efficiency, extravagance, embodiment, identity, social order, prestige, mobility, multilingualism, and language contact.
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Book chapters on the topic "Banach manifold with uniform structure"

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Gesztesy, Fritz, Gilles Godefroy, Loukas Grafakos, and Igor Verbitsky. "The uniform structure of Banach spaces." In Nigel J. Kalton Selecta, 135–84. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-18799-0_5.

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Pelletier, F. "Conic Sub-Hilbert–Finsler Structure on a Banach Manifold." In Trends in Mathematics, 237–44. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-01156-7_26.

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Conference papers on the topic "Banach manifold with uniform structure"

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Bae, Daniel, Raphael Mandel, and Michael Ohadi. "Effect of Bonding Structure and Heater Design on Performance Enhancement of FEEDS Embedded Manifold-Microchannel Cooling." In ASME 2017 International Technical Conference and Exhibition on Packaging and Integration of Electronic and Photonic Microsystems collocated with the ASME 2017 Conference on Information Storage and Processing Systems. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/ipack2017-74158.

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This work presents the design and characterization of a two-phase, embedded manifold-microchannel (MMC) system for cooling of high heat flux electronics. The study uses a thin-Film Evaporation and Enhanced fluid Delivery System (FEEDS) MMC cooler for high heat flux cooling of electronics. The work builds upon our group’s earlier work in this area with a particular focus on the use of an improved bonding structure and implementation of uniform heat flux heaters that collectively contribute to enhanced performance of the system. In many MMC systems targeted for high heat flux applications microchannels and manifolds are fabricated separately due to different dimensions and tolerances required for each. However, assembly of the system often leaves a gap between the channels and the manifold, thus causing the working fluid to leak through the top of the microfins leading to decreased cooler performance. The effect of this gap is parametrized and analyzed with ANSYS Fluent CFD simulations and discussed in this paper. The findings show that even a few microns wide gap can cause a noticeable degradation of the MMC system performance. Imperfect assembly and the deformation of a microchannel chip due to working fluid pressure can cause gaps, indicating the necessity of uniform and hermetic bonding between the manifold and the tips of the microfins. Furthermore, this work presents the need for better heater designs to enable uniform and high heat flux to the heat transfer surface. Serpentine heaters are often used to mimic electronics in a laboratory environment, but there is a lack of study on the performance characterization of the heaters themselves. In the current work, the performance of a conventional serpentine heater is characterized using ANSYS thermo-electric modeling software. The results show that conventional serpentine heaters are insufficient at providing uniform heat flux in applications where there is a lack of heat spreading-such as in the current embedded cooler — showing deviations ranging over 200 % of the nominal value. The deviations are caused by the many bends present in a serpentine pattern where current density concentrations vary significantly. Two alternate designs are proposed, and numerical simulations show that these new heater designs are capable of providing uniform heat flux, not deviating more than 20% from the nominal heat flux value. The conventional and newly proposed heaters are fabricated, tested, and analyzed with a working FEEDS system.
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Zhou, Feng, Yan Liu, Shailesh N. Joshi, Yanghe Liu, and Ercan M. Dede. "Modular Flow Structure Design for a Single-Phase Manifold Microchannel Cold Plate." In ASME 2015 International Technical Conference and Exhibition on Packaging and Integration of Electronic and Photonic Microsystems collocated with the ASME 2015 13th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/ipack2015-48029.

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The present work is generally related to the design of a manifold microchannel heat sink with high modularity and performance for electronics cooling, utilizing two well established (i.e., jet impingement and channel flow) cooling technologies. The present cold plate design provides flexibility to assemble manifold sections in five different configurations to reach different flow structures, and thus different cooling performance, without redesign. The details of the modular manifold and possible configurations of a cold plate comprising three manifold sections are shown herein. A conjugate flow and heat transfer 3-D model is developed for each configuration of the cold plate to demonstrate the merits of each modular design. Parallel flow configurations are used to satisfy a uniform cooling requirement from each module, but a “U-shape” parallel flow “base” configuration cools the modules more uniformly than a “Z-shape” flow pattern due to intrinsic pressure distribution characteristics. A serial fluid flow configuration requires the minimum coolant flow rate with a gradually increasing device temperature along the flow direction. Two mixed (i.e., parallel + serial flow) configurations achieve either cooling performance similar to the “U-shape” configuration with slightly more than half of the coolant flow rate, or cooling of a specific module to a much lower temperature level. Generally speaking, the current cold plate design significantly extends its application to different situations with different cooling requirements.
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Zhao, Cheng, Cun Wang, Tao Zhang, and Jian Pu. "Flow Distribution Analysis in the SOFC Stack Using CFD Technique." In ASME 2017 15th International Conference on Fuel Cell Science, Engineering and Technology collocated with the ASME 2017 Power Conference Joint With ICOPE-17, the ASME 2017 11th International Conference on Energy Sustainability, and the ASME 2017 Nuclear Forum. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/fuelcell2017-3177.

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In this paper, a three dimensional solid oxide fuel cell (SOFC) model is constructed to investigate the gas distribution and the pressure variation in the external manifold stack by a computational fluid dynamics (CFD) approach. Several geometric parameters of external manifold stack, including the position of inlet tube, depth of the manifold and the channel resistance are optimized to achieve uniform gas distributions among the channels. Simulation results indicate that a gas distributor can enhance the flow uniformity effectively. Besides, with the increasing depth of the manifold, the flow tends to be more uniform in T-manifold but has a small impact on C-manifold stack. It is also shown that flow distribution is intensively enhanced with the raise of resistance, especially from 0Pa to 100Pa. Modeling results highlight the importance of manifold and channel structure design for external manifold stack and can be widely applied to design the geometric parameters.
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Kou, X. Y., S. T. Tan, and W. S. Sze. "Relation Oriented Modeling for Heterogeneous Object Design." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85589.

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Relation oriented modeling approaches are proposed to design heterogeneous objects. The heterogeneous object modeling process is viewed as representing and manipulating complex geometrical, topological and material variation relations with proper data structures. Linear list structure, hierarchical tree structures and more general graph structures are used to represent complex heterogeneous objects. The powerful non-manifold cellular representation and the hierarchical heterogeneous feature tree representation are combined to model complex objects with simultaneous geometry intricacies and compound material variations. We demonstrate that relations play critical roles in heterogeneous object design and under the relation oriented framework, heterogeneous objects can be modeled with generic, uniform representations. The proposed relation oriented modeling approaches are tested with a prototype heterogeneous CAD modeler and presented with different types of heterogeneous object examples.
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Godeferd, Fabien, Claude Cambon, and Alexandre Delache. "Dimensionality of Anisotropic Homogeneous Turbulence With Distortions: Compared Effects Between the Coriolis Force and the Lorentz Force." In ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting collocated with the ASME 2014 12th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/fedsm2014-22022.

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We consider initially isotropic homogeneous turbulence which is submitted to an external force, in statistically axisymmetric configurations. First, we study hydrodynamical turbulence in a rotating frame, in which case the Coriolis force modifies the structure and dynamics of the flow, thus creating elongated structures along the axis of rotation, corresponding to an accumulation of energy in the neighbourhood of the equatorial spectral plane. Secondly, a very similar configuration is that of magnetohydrodynamics (MHD) of a conducting fluid within an externally applied space uniform magnetic field, in which case the Lorentz force also concentrates energy to the same spectral equatorial manifold, but creates axially extending current sheets, along the magnetic field. We more specifically consider the quasi-static limit at small magnetic Reynolds number, in which the induction equation is analytically solved. We study the anisotropy of each turbulent flow using progressively refined statistics applied to results of direct numerical simulations, and we show that an accurate characterization of the flow structure requires advanced two-point statistics, which are available easily only in spectral space.
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Ma, T., Y. P. Ji, M. Zeng, and Q. W. Wang. "CFD Optimization of Gas-Side Flow Channel Configuration Inside a High Temperature Bayonet Tube Heat Exchanger With Inner and Outer Fins." In ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/gt2011-46036.

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In this paper, the gas-side fluid flow distribution inside a bayonet tube heat exchanger with inner and outer fins is numerically studied. The heat exchanger is designed based on the traditional bayonet tube heat exchanger, where compact continuous plain fins and wave-like fins are mounted on the outside and inside surfaces of outer tubes, respectively, to enhance the heat transfer performance. However, gross flow maldistribution and large vortices are observed in the gas-side flow channel of baseline design. In order to improve the flow uniformity, three modified designs are proposed. Three vertical plates and two inclined plates are mounted on the inlet manifold for Model B. For the Model C, another six bending plates are mounted on the middle manifolds and three pairs of them are connected together. The Model D has a similar structure as Model C except for the two additional baffles. The results indicate that the flow distributions of Model C and D are much more uniform under different inlet Reynolds number, especially in the high inlet Reynolds number. Although the flow distribution of Model D is the best, its pressure drop is 2.6 times higher than that of Model C. Therefore, the design of Model C is the most optimized structure. Compared with the original design, the nonuniformity of Model C can be reduced by 42% while the pressure drop is almost the same under the baseline condition.
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