Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 12 of 12 for “"Boundary Behavior"”.
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The Boundary Behavior of Holomorphic Functions
In the theory of several complex variables, the Fatou type problems, the Lindel\"{o}f principle, and inner functions have been well studied for strongly pseudoconvex domains. In this thesis, we are going to study more generalized domains, those of finite type. In Chapter 2 we show that there is no …
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Molecular Insights on the Boundary Behavior of Liquids
The last part of my thesis concerns the translational diffusion of molecularly thin polymer melt. While simulations have been performed, to my knowledge no direct measurements exist yet of polymer melt diffusion in molecularly-thin films. This is due to the lack of proper experimental tools and the …
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A new computation of the Bergman kernel and related techniques
… formulas. Using these formulas, we analyze the boundary behavior of the kernel function on the diagonal. Our technique also leads us to results about a cancellation of singularities for generalized hypergeometric functions and weighted Bergman kernels. Finally, we give an alternative approach to …
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Integrals of harmonic functions over curves and surfaces
… Heins and Jang-Mei Wu, to studying the near-boundary behavior of positive solutions of elliptic DE's by finding surfaces which minimize the integrals of solutions over the family of all closed surfaces or curves tending to the boundary. The inferior limit of integrals over this family is …
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Stochastic Stability and Nonlinear Control in Mechanical Systems
… properties of the process are based on the boundary behavior of the associated scalar diffusion process of the amplitude Ito equations. This method is then applied to a linear, gyroscopic problem of a rotating shaft with a random loading demonstrating the conservative nature of mean square …
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STOCHASTIC MODELS IN POPULATION DYNAMICS.
… given. Persistence of the population and the boundary behavior have also been discussed through the hitting times. Here, a new method to analyze the hitting times for a specific class of stochastic delay models is presented. This work is related to and also extends the work of Edward Allen, …
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Boundary Resilience: A New Approach to Analyzing Behavior in Complex Systems
… be useful to study in terms of complex system behavior. However, it is the interactions between a complex system and its operating environment which drive the motivation for this analysis. Specifically, this work introduces a new approach to assessing these interactions called "boundary …
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An investigation of the surge behavior of a high-speed ten-stage axial flow compressor
… employed in an effort to characterize the surge behavior of this compressor. Furthermore, the predictions of a computer-based transient compressor model are compared to the data for study. In the course of reviewing the data included in this thesis, certain abnormalities were noted in the overall …
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Microscale Energy Transport in Lead Halide Perovskites
… quantify carrier diffusion anisotropy and grain boundary effects in optical microscopy measurements. First, we quantify the enhancement due to photon recycling in the macroscale for state-of-the-art perovskite films. We find that even with finite nonradiative recombination, benefits from photon …
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Local behavior of distributions and applications
… in Chapter 11. This study connects the boundary asymptotic behavior of the wavelet transform with asymptotics of tempered distributions. It is shown that our tauberian theorems become full characterizations. Chapter 10 makes a comprehensive study of asymptotic properties of …
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The effects of dopants and complexions on grain boundary diffusion and fracture toughness in α-Al2O3
… properties. Understanding and controlling grain boundary structure-property relationships has been an ongoing challenge that is critical for engineering materials, and motivates this dissertation study. Here, α-Al2O3 is chosen as a model system due its importance as a structural, optical, and …
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Poletsky-Stessin Hardy Spaces on the Unit Disk
… problem of establishing such values (called boundary values) led to the appearance of Hardy spaces $H^p(\mathbb{D})$, $p\ge1$. If a function lies in a Hardy space then its boundary values can be defined and its values on $\mathbb{D}$ can be obtained using standard Cauchy or Poisson …