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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 20 of 50 for “"Potential theory"”.
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Potential Theory on Compact Sets
… goal of this work is to extend the notions of potential theory to compact sets. There are several equivalent ways to define continuous harmonic functions <em>H</em>(<em>K</em>) on a compact set <em>K</em> in [the set of real numbers]<sup>n</sup>. One may let <em>H</em>(<em>K</em>) be the …
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K-Processes and Potential Theory
Made available in DSpace on 2014-12-11T18:23:52Z (GMT). No. of bitstreams: 1 7309912.pdf: 1729633 bytes, checksum: 2da841931ba5205cf5a2cc6914b5d451 (MD5) Previous issue date: 1972
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Potential Theory of Generalized Hyperbolic Processes
Let Yt be a rotationally invariant generalized hyperbolic process in Rd , d ≥ 3. Yt can be obtained by subordinating Brownian motion with a generalized inverse Gaussian subordinator Tt. We introduce generalized inverse Gaussian and generalized hyperbolic processes in chapter 1. In chapter 2, we …
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Articles on Potential Theory, Functional Analysis and Hankel Forms
… Anal. Math., (2012). The boundary double layer potential, or the Neumann-Poincaré operator, is studied on the Sobolev space of order $1/2$ along the boundary, coinciding with the space of charges giving rise to double layer potentials with finite energy in the whole space. Poincaré's program of …
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Potential theory of subordinate Brownian motions and their perturbations
Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2013-04-09T16:14:28Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Hyunchul_Park.pdf: 539321 bytes, checksum: bcfd0a5064cd6d8ec336a32baba3522b (MD5)
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Potential Theory for Subordinate Brownian Motion by Tempered Stable Subordinator
In this thesis, a class of processes called tempered stable subordinators is defined. By subordinating Brownian motion {Bt : t ≥ 0} with independent tempered stable subordinators {Zt : t ≥ 0}, we can get a class of Levy processes Xt := BZtw (o) in Rd (d ≥ 2). Some well known processes such …
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A Technique for Solving the Singular Integral Equations of Potential Theory
<p>The singular integral equations of Potential Theory are investigated using ideas from both classical and contemporary mathematics. The goal of this semi-analytic approach is to produce numerical schemes that are both general and computationally simple. Previous works based on classical methods …
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Potential Theory for Subordinate Killed Brownian Motion in Some Unbounded Domains
{1,1}$ boundaries. With the help of two-sided estimates of the densityfunction of the subordinate killed Brownian motion in each domain, we are able to identify the Martin boundary and the minimal Martin boundary, and then obtain the canonical representation of the positive harmonic functions in …
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The dynamics of floating bodies in a regular wave environment
… the Integral Equation Method of solution for the Potential Theory problem of the interaction between a floating body and a train of regular waves in a two-dimensional domain. In particular, a numerical study has been carried out of the indirect method of solution of the integral equation resulting …
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The Boundary Integral Equation Method for Torsion of an Inhomogeneous Variable Diameter Shaft
… equation of the Generalized Bi-axially Symmetric Potential Theory (GBSPT), and its fundamental solution can be obtained by considering the "ring of potential". Piecewise-quadratic shape functions are used for the approximations of the functions and the boundary. Gaussian quadrature with four …
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Triple Trigonometric Series and Their Application to Mixed Boundary Value Problems
… mixed boundary value problems in elasticity and potential theory. By choosing a suitable integral representation for the sequence of unknown constants, the problem is reduced to solving a singular integral equation of the first kind. Twenty four cases in which the integral equation can be solved …
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Brownian motion and multidimensional decision making
… body, references and page numbering. Part I, "Potential theory, path integrals and the Laplacian of the indicator", finds the transition density of absorbed or reflected Brownian motion in a d-dimensional domain as a Feynman-Kac functional involving the Laplacian of the indicator, thereby …
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Theory and applications of a functional from metric geometry
… $J\sp\alpha$ has its roots in metric embedding theory and potential theory. Subject to certain moment vanishing conditions, a representation formula is proved using the Fourier transform and tempered distributions. Ideas from integral geometry are used to apply the functional $J\sp\alpha$ to …
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Modelling of welding with various constitutive models for steel
… viscoplasticity based on dislocation density theory, unified viscoplasticity based on potential theory, and transformation induced plasticity have been chosen for quantitative investigation. Material models proposed by Anand, Estrin and Mecking, Estrin, Robinson, and Leblond et.al. have been …
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Global Existence of solutions to Reaction-Diffusion Systems with Mass Transport type Boundary Conditions
… exists solution for all time, t>0. Classical potential theory and estimates for linear initial boundary value problems are used to prove local well-posedness and global existence. This type of system arises in mathematical models for cell processes.
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Quasi-potential analysis of multi-variate stochastic differential equations
… framework for studying these motifs using potential theory from classical physics is sometimes utilized. This thesis aims to be an expository and pedagogical introduction to this topic. Starting from first principles, I derive the deterministic equations describing these systems. Then, I …
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Adsorption of water vapor by selected containment aerosols : chlorides and cement dust
… curve when correlated according to Polanyi's potential theory. Hysteresis was observed upon desorption for cesium chloride and containment concrete samples. The isosteric heats of adsorption were calculated at different loadings. The isosteric heats of adsorption illustrate that all the …
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Modelo numérico de efeitos hidrodinâmicos em escoamentos internos e externos
… time domain method based on the panel method and potential theory to calculate the ship dynamic in regular waves; here the formulation of ship motion equations considers nonlinear terms and the Froude-Krilov force is extrapolated to the instantaneous free surface. The time domain method was …
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Fatigue damage mechanisms in fiber reinforced composite materials including the effect of cyclic loading frequency
… and the development of an energy-based failure theory. A detailed discussion of each aspect of the investigation is presented and, in each case, pertinent conclusions are drawn. The effect of cyclic loading frequency on fatigue damage development is documented and found to be substantial. A …
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Computer Modeling of Silicon Quantum Dot Floating -Gate Flash Memory Devices
… continuum strain approach and the deformation potential theory, on single-electron charging in 100A-diameter nano-crystals of various shapes has been simulated.
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