Relevant bibliographies by topics / Boundary triples

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Boundary triples'

Author: Grafiati
Published: 8 June 2024
Last updated: 31 July 2025

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Journal articles on the topic "Boundary triples"

1

Behrndt, Jussi, and Till Micheler. "Boundary triples and quasi boundary triples for elliptic operators." PAMM 11, no. 1 (2011): 883–84. http://dx.doi.org/10.1002/pamm.201110428.

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Strelnikov, D. I. "Boundary triples for integral systems." Reports of the National Academy of Sciences of Ukraine, no. 7 (July 24, 2018): 3–9. http://dx.doi.org/10.15407/dopovidi2018.07.003.

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Post, O. "First-order operators and boundary triples." Russian Journal of Mathematical Physics 14, no. 4 (2007): 482–92. http://dx.doi.org/10.1134/s1061920807040139.

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Iochum, B., and C. Levy. "Spectral triples and manifolds with boundary." Journal of Functional Analysis 260, no. 1 (2011): 117–34. http://dx.doi.org/10.1016/j.jfa.2010.09.006.

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Brown, B. M., M. Marletta, S. Naboko, and I. Wood. "Inverse problems for boundary triples with applications." Studia Mathematica 237, no. 3 (2017): 241–75. http://dx.doi.org/10.4064/sm8613-11-2016.

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Hayashi, Toshinori, Alessandro A. Trani, and Yasushi Suto. "Dynamical Disruption Timescales and Chaotic Behavior of Hierarchical Triple Systems." Astrophysical Journal 939, no. 2 (2022): 81. http://dx.doi.org/10.3847/1538-4357/ac8f48.

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Abstract We examine the stability of hierarchical triple systems using direct N-body simulations without adopting a secular perturbation assumption. We estimate their disruption timescales in addition to the mere stable/unstable criterion, with particular attention to the mutual inclination between the inner and outer orbits. First, we improve the fit to the dynamical stability criterion by Mardling & Aarseth widely adopted in the previous literature. Especially, we find that that the stability boundary is very sensitive to the mutual inclination; coplanar retrograde triples and orthogonal
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Strelnikov, Dmytro. "Boundary triples for integral systems on finite intervals." Journal of Mathematical Sciences 231, no. 1 (2018): 83–100. http://dx.doi.org/10.1007/s10958-018-3807-z.

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Behrndt, Jussi, Matthias Langer, Vladimir Lotoreichik, and Jonathan Rohleder. "Quasi boundary triples and semi-bounded self-adjoint extensions." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 147, no. 5 (2017): 895–916. http://dx.doi.org/10.1017/s0308210516000421.

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In this note semi-bounded self-adjoint extensions of symmetric operators are investigated with the help of the abstract notion of quasi boundary triples and their Weyl functions. The main purpose is to provide new sufficient conditions on the parameters in the boundary space to induce self-adjoint realizations, and to relate the decay of the Weyl function to estimates on the lower bound of the spectrum. The abstract results are illustrated with uniformly elliptic second-order partial differential equations on domains with non-compact boundaries.
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BRÜNING, JOCHEN, VLADIMIR GEYLER, and KONSTANTIN PANKRASHKIN. "SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS." Reviews in Mathematical Physics 20, no. 01 (2008): 1–70. http://dx.doi.org/10.1142/s0129055x08003249.

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We give a self-contained presentation of the theory of self-adjoint extensions using the technique of boundary triples. A description of the spectra of self-adjoint extensions in terms of the corresponding Krein maps (Weyl functions) is given. Applications include quantum graphs, point interactions, hybrid spaces and singular perturbations.
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Storozh, O. G. "On an approach to the construction of the Friedrichs and Neumann-Krein extensions of nonnegative linear relations." Carpathian Mathematical Publications 10, no. 2 (2018): 387–94. http://dx.doi.org/10.15330/cmp.10.2.387-394.

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Let $L_{0}$ be a closed linear nonnegative (probably, positively defined) relation ("multivalued operator") in a complex Hilbert space $H$. In terms of the so called boundary value spaces (boundary triples) and corresponding Weyl functions and Kochubei-Strauss characteristic ones, the Friedrichs (hard) and Neumann-Krein (soft) extensions of $L_{0}$ are constructed.
 It should be noted that every nonnegative linear relation $L_{0}$ in a Hilbert space $H$ has two extremal nonnegative selfadjoint extensions: the Friedrichs extension $L_{F}$ and the Neumann-Krein extension $L_{K},$ satisfying
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Dissertations / Theses on the topic "Boundary triples"

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Siv, Easeng. "Étude expérimentale mésoscopique de la migration des interfaces dans le cuivre polycristallin." Thesis, Sorbonne Paris Cité, 2019. http://www.theses.fr/2019USPCD031.

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Un polycristal est constitué par un agglomérat de monocristaux micrométriques accolés les uns aux autres. L’interface entre deux monocristaux tournés constitue un joint de grains (JdG). Les JdGs jouent un rôle important dans le comportement plastique des matériaux cristallins. Sous certaines conditions de traitement thermique (TT) ou de thermomécanique (TM), les JdGs peuvent migrer et font évoluer profondément les microstructures. Ces phénomènes anciens restent toutefois mal connus et il n’existe pas de modèle quantitatif décrivant la migration. Dans ce contexte, nous avons étudié expérimental
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Watkins, John D. "Enhancing triple phase boundary electrosynthesis." Thesis, University of Bath, 2011. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.547876.

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The first part of this thesis is concerned with the synthesis, characterisation and applications of surface functionalised carbon nanoparticles. Synthetic techniques are used to modify the existing surface architecture of carbon nanoparticles towards high surface area modified electrodes and pH sensing applications. Electrochemical and synthetic techniques have been used to study triple phase boundaries and enhance their properties towards a bulk synthetic technique, in which an electrolyte phase and redox probe phase are held separate. A salt matrix, ultrasound, high shear force and a carbon
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Clarke, D. S. "Problems in triple-deck boundary layer theory." Thesis, University of Manchester, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.370406.

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Collins, Andrew. "Photo-electrochemical processes at the triple phase boundary." Thesis, University of Bath, 2012. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.557818.

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The main aim and ultimate final goal of the work carried out in this thesis is a drive towards a feasible system for light harvesting, which is in short, using the Sun’s energy to create electricity or a fuel for our energy requirements here on Earth. This work will see an approach using the triple phase boundary afforded by a microdroplet array. Although light harvesting is an ambition which has seen decades of work and uncountable man-hours, approaching it from the angle of utilizing the triple phase boundary between two immiscible liquids and a solid electrode is a new, and novel concept. B
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Mohsen, Hassan. "Estimations uniformes pour des problèmes de transmission à changement de signe : Liens avec les triplets de frontière et la quantification de l’incertitude." Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0227.

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Présentation du domaine: Il s'agit d'étudier des opérateurs différentiels sur des variétés riemanniennes singulières et leurs applications. Parmi les opérateurs les plus importants, on trouve les opérateurs de Laplace et de Dirac. Il y a beaucoup de connexions entre les deux types d'opérateurs, à cause de la formule de Lichnerowicz, un mathématicien français du dernier siècle. Pourtant, les opérateurs de Laplace ont été beaucoup plus étudiés que les opérateurs de Dirac. Les opérateurs de Dirac, aussi appelé opérateurs d'Atiyah--Singer, sont des opérateurs fondamentaux dans la géométrie riemann
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Soltanzadeh, Marjan. "Modeling Triple Phase Boundary (TPB) in Solid Oxide Fuel Cell (SOFC) Anode." Thesis, University of Ottawa (Canada), 2010. http://hdl.handle.net/10393/28843.

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The idea of having the triple phase boundary (TPB) is extensively used in the fuel cell literature, especially with respect to solid oxide fuel cells (SOFC). The TPB concept indicates that the hydrogen oxidation reaction and the oxygen reduction reaction, which produce electric current, can actually occur at special sites, called "triple phase boundaries" where the gaseous fuel phase, ion conducting phase: electrolyte, and electron conducting phase, come into contact. Recent study shows that despite the common assumption about TPB, it is not just a point, but a zone that consists of two lines.
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Wang, Chingfu. "Triple phase boundary engineering of electrodes for solid oxide fuel cells by inkjet printing." Thesis, University of Cambridge, 2014. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.708301.

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Pabit, Edgardo L. "Grain boundary and triple junction chemistry of silicon carbide sintered with minimum additives for armor applications." [Gainesville, Fla.] : University of Florida, 2005. http://purl.fcla.edu/fcla/etd/UFE0012140.

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Zhou, Yijian. "Effects of grain boundary and triple line structures on carbide precipitation in type 304L stainless steel." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape4/PQDD_0019/MQ54131.pdf.

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Aljohani, Abdulrahman. "Applications of triple deck theory to study the flow over localised heating elements in boundary layers." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/applications-of-triple-deck-theory-to-study-the-flow-over-localised-heating-elements-in-boundary-layers(a3174ce1-f4db-47d8-b0a7-a712461a8211).html.

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In this thesis, we investigate flow past an array of micro-electro-mechanical-type (MEMS-type) heating elements placed on a flat surface, where MEMS devices have hump-shaped surfaces, using the triple deck theory. In this work we start by investigating the problem with a single heating element. MEMS devices can be used to control the fluid dynamics over the surface. Hence, we present a review of the boundary layer and the triple deck theories, followed by a literature review of the problem of flow past an array of MEMS devices. Next, we formulate our problem with the aid of the method of match
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Books on the topic "Boundary triples"

1

Gross, Thomas F. Bottom boundary layer stress measurements with BASS tripods: Data report STRESS 1988-89. Woods Hole Oceanographic Institution, 1993.

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Gross, Thomas F. Data report: Stress measurements in the bottom boundary layer with BASS tripods STRESS II 1990-91. Woods Hole Oceanographic Institution, 1993.

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Zhou, Yijian. Effects of grain boundary and triple line structures on carbide precipitation in type 304L stainless steel. National Library of Canada, 2000.

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4

Ruban, Anatoly I. Boundary-Layer Separation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199681754.003.0003.

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Chapter 2 discusses the experimental observations of the boundary-layer separation in subsonic and supersonic flows that lead to a formulation of the concept of viscous-inviscid interaction. It then turns to the so-called ‘self-induced separation’ of the boundary layer in supersonic flows. This theory is formulated based on the asymptotic analysis of the Navier–Stokes equations at large values of the Reynolds number. As a part of the flow analysis, this chapter also introduces the ‘triple-deck model’. It then shows how this model may be used to describe the classical problem of the boundary-la
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Ruban, Anatoly I. Introduction. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199681754.003.0001.

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This book investigates high-Reynolds number flows, and analyses flows that can be described in the framework of Prandtl’s 1904 classical boundary-layer theory, including Blasius’s boundary layer on a flat plate, Falkner–Skan solutions for the boundary layer on a wedge surface, and other applications of Prandtl’s theory. It then discusses separated flows, and considers the so-called ‘self-induced separation’ in supersonic flow, and which led to the ‘triple-deck model’. It also presents Sychev’s 1972 theory of the boundary-layer separation in an incompressible fluid flow past a circular cylinder
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Fortier, Pascal. Triple junction and grain boundary distributions in metallic materials. 1996.

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Ruban, Anatoly I. Fluid Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199681754.001.0001.

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This is Part 3 of a book series on fluid dynamics. This is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture courses, and then progressing through more advanced material up to the level of modern research in the field. This book is devoted to high-Reynolds number flows. It begins by analysing the flows that can be described in the framework of Prandtl’s 1904 classical boundary-layer theory. These analyses include the Blasius boundary layer on a flat plate, the Falkner-Skan s
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Azaryan, Sergey, and Tigran Grigoryan. Application of Integrals and Ordinary Differential Equations in Physics Problems. YSU press, 2023. http://dx.doi.org/10.46991/ysuph/9785808426498.

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The manual is intended for 1st and 2nd year students of YSU Faculty of Physics. In the first chapter of the manual, boundary problems of physics have been considered, the solutions of which lead to the calculation of definite, curvilinear, double, triple, surface integrals, as well as the limits of integral sums. In the second chapter, such boundary problems of physics have been included, which are brought to the application of ordinary differential equations of the first and second order. Solved problems and tasks on the topics discussed in the educational manual will increase the level of st
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Ruban, Anatoly I. Incipient Separation Near Corners. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199681754.003.0005.

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Chapter 4 analyses the transition from an attached flow to a flow with local recirculation region near a corner point of a body contour. It considers both subsonic and supersonic flow regimes, and shows that the flow near a corner can be studied in the framework of the triple-deck theory. It assumes that the body surface deflection angle is small, and formulates the linearized viscous-inviscid interaction problem. Its solution is found in an analytic form. It also presents the results of the numerical solution of the full nonlinear problem. It shows how, and when, the separation region forms i
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Ruban, Anatoly I. Marginal Separation Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199681754.003.0006.

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Chapter 5 discusses the ‘short separation bubble’ that forms at the leading edge of an aerofoil when the angle of attack reaches a certain value. It then suggests that the process of the formation of the bubble is described by the Marginal Separation theory, which represents a special version of the triple-deck theory. It then covers how, in this case, the viscous-inviscid interaction problem may be reduced to an integro-differential equation for the skin friction. It discusses how by solving this equation not only the transition from attached to separated flow in the boundary layer be predict
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Book chapters on the topic "Boundary triples"

1

Brown, B. Malcolm, Marco Marletta, and Ian Wood. "Working with Sergey Naboko on Boundary Triples." In From Complex Analysis to Operator Theory: A Panorama. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-31139-0_1.

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Derkach, Volodymyr. "Boundary Triples, Weyl Functions, and the Krein Formula." In Operator Theory. Springer Basel, 2024. https://doi.org/10.1007/978-3-0348-0692-3_32-4.

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Behrndt, Jussi, and Hagen Neidhardt. "Scattering matrices and Weyl functions of quasi boundary triples." In Analysis as a Tool in Mathematical Physics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-31531-3_12.

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Post, Olaf. "The Functional Analytic Part: Scales of Hilbert Spaces and Boundary Triples." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23840-6_3.

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Behrndt, Jussi, and Peter Schlosser. "Quasi Boundary Triples, Self-adjoint Extensions, and Robin Laplacians on the Half-space." In Linear Systems, Signal Processing and Hypercomplex Analysis. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-18484-1_2.

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Dell’Antonio, Gianfausto. "Lecture 20: Self-adjoint Extensions. Relation with Quadratic Forms. Laplacian on Metric Graphs. Boundary Triples. Point Interaction." In Atlantis Studies in Mathematical Physics: Theory and Applications. Atlantis Press, 2015. http://dx.doi.org/10.2991/978-94-6239-118-5_20.

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Nakatani, Naoki, Jia-Jia Zheng, and Shigeyoshi Sakaki. "Approach of Electronic Structure Calculations to Crystal." In The Materials Research Society Series. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-0260-6_11.

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AbstractNowadays, the importance of molecular crystals and solids with regular structures is increasing in both basic chemistry and applied fields. However, theoretical studies of those systems based on electronic structure theories have been limited. Although density functional theory (DFT) calculations using generalized gradient approximation type functional under periodic boundary condition is effective for such theoretical studies, we need some improvements for calculating the dispersion interaction and the excited state of crystals. Accordingly, in this chapter, two methods for calculatin
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Duck, P. W. "Unsteady Triple-deck Flows Leading to Instabilities." In Boundary-Layer Separation. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-83000-6_17.

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Behrndt, Jussi, Seppo Hassi, and Henk De Snoo. "Boundary Triplets and Weyl Functions." In Boundary Value Problems, Weyl Functions, and Differential Operators. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-36714-5_3.

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Schmüdgen, Konrad. "Self-adjoint Extensions: Boundary Triplets." In Graduate Texts in Mathematics. Springer Netherlands, 2012. http://dx.doi.org/10.1007/978-94-007-4753-1_14.

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Conference papers on the topic "Boundary triples"

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Li, Qingling, Wushao Wen, and Jinghui Qin. "Boundary-Driven Table-Filling with Cross-Granularity Contrastive Learning for Aspect Sentiment Triplet Extraction." In ICASSP 2025 - 2025 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2025. https://doi.org/10.1109/icassp49660.2025.10888888.

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Zhang, Ziyi, Shijie Lian, and Hua Li. "TMANet: Triple Multi-Scale Attention based Network with Boundary Association Loss for Superpixel Segmentation." In ICASSP 2025 - 2025 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2025. https://doi.org/10.1109/icassp49660.2025.10888234.

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Koch, G. H., A. K. Agrawal, M. P. H. Brongers, and A. W. Phelps. "Characterization of Intergranular Stress-Corrosion Cracking Initiation in Type 304 Stainless Steel Using Scanning Probe Microscopy." In CORROSION 1999. NACE International, 1999. https://doi.org/10.5006/c1999-99450.

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Abstract Intergranular stress-corrosion cracking (IGSCC) of austenitic stainless steels and nickel-base alloys continues to be a major problem in light water reactors. Although most research has been done on the mechanism of IGSCC, little is known about the process of crack nucleation in these alloys. Scanning probe microscopy (SPM) was used to demonstrate that upon plastic deformation of annealed and sensitized Type 304 stainless steel specimens, slip intensifies at the grain boundaries, which results in grain boundary separation, particularly at grain boundary triple points. Initial work has
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Tarzimoghadam, Zahra, Dirk Ponge, Jutta Kloewer, and Dierk Raabe. "Hydrogen-assisted Failure in Nickel Base Alloy UNS N07718." In CORROSION 2016. NACE International, 2016. https://doi.org/10.5006/c2016-07459.

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Abstract Hydrogen embrittlement (HE) of nickel base alloy UNS N07718 was studied by tensile testing at low strain rate (10-4 s-1) under hydrogen charging. Hydrogen-assisted cracking mechanisms were studied via the joint use of Electron BackScatter Diffraction (EBSD) analysis and orientation-optimized Electron Channeling Contrast (ECC) imaging. Both intergranular and transgranular cracking were observed when hydrogen was introduced. Embrittlement occurred by strong hydrogen-deformation interactions and several mechanisms were found to contribute to hydrogen-assisted cracking in this alloy. Tran
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Kamaya, Masayuki, Shunji Sakai, Nobuo Totsuka, and Nobuo Nakajima. "Estimation of Short Crack Growth Rate on PWSCC of Mill Annealed Alloy 600." In CORROSION 2000. NACE International, 2000. https://doi.org/10.5006/c2000-00213.

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Abstract Understanding the short crack behavior is important to construct lifetime prediction models for light water reactor components. There are, however, limitted methods of directly measuring short crack behaviors. Therefore we need some interpolation or extrapolation technique to precisely evaluate the short crack growth rate. In this study, constant load tests were conducted to investigate the primary water stress corrosion cracking (PWSCC) short crack growth rate on for different mill annealed alloy 600 samples at 350°C. Maximum crack length was measured for each sample and then divided
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Lee, W. C., and W. G. Characklis. "Corrosion of Mild Steel under an Anaerobic Biofilm." In CORROSION 1990. NACE International, 1990. https://doi.org/10.5006/c1990-90126.

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Abstract Corrosion of mild steel under completely anaerobic conditions in the presence of a mixed population biofilm, including sulfate-reducing bacteria (SRB), has been studied in a continuous flow system. The open channel flow reactor was continuously fed with low concentration substrate at different dilution rates which influenced biofilm accumulation. No direct correlation was observed between corrosion and SRB activity in the absence of ferrous ion. Furthermore, corrosion of mild steel in the SRB environment was mainly determined by the nature of the metal and environmental conditions suc
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Lotoreichik, V., H. Neidhardt, and I. Yu Popov. "Point contacts and boundary triples." In QMath12 – Mathematical Results in Quantum Mechanics. WORLD SCIENTIFIC, 2014. http://dx.doi.org/10.1142/9789814618144_0024.

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Shang, Yu-Ming, Heyan Huang, Xin Sun, Wei Wei, and Xian-Ling Mao. "Relational Triple Extraction: One Step is Enough." In Thirty-First International Joint Conference on Artificial Intelligence {IJCAI-22}. International Joint Conferences on Artificial Intelligence Organization, 2022. http://dx.doi.org/10.24963/ijcai.2022/605.

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Extracting relational triples from unstructured text is an essential task in natural language processing and knowledge graph construction. Existing approaches usually contain two fundamental steps: (1) finding the boundary positions of head and tail entities; (2) concatenating specific tokens to form triples. However, nearly all previous methods suffer from the problem of error accumulation, i.e., the boundary recognition error of each entity in step (1) will be accumulated into the final combined triples. To solve the problem, in this paper, we introduce a fresh perspective to revisit the tri
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Boitsev, A. A. "Boundary triplets approach for Dirac operator." In QMath12 – Mathematical Results in Quantum Mechanics. WORLD SCIENTIFIC, 2014. http://dx.doi.org/10.1142/9789814618144_0015.

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Sharma, Nitika, Simranjit Kaur, and Balwinder S. Dhaliwal. "A new triple band hybrid fractal boundary antenna." In 2016 IEEE International Conference on Recent Trends in Electronics, Information & Communication Technology (RTEICT). IEEE, 2016. http://dx.doi.org/10.1109/rteict.2016.7807953.

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Reports on the topic "Boundary triples"

1

A.H. King and M.A. Dayananda. Diffusion in Grain Boundary Triple Junctions, and its Effects on the Behavior of Nanostructured Materials. Office of Scientific and Technical Information (OSTI), 2006. http://dx.doi.org/10.2172/896482.

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