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 20 of 27 for “"bounded domain"”.
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Proper holomorphic mappings in several complex variables
A holomorphic mapping f from a bounded domain D in $\doubc\sp{n}$ to a bounded domain $\Omega$ in $\doubc\sp{N}$ is proper if the sequence $\{f(zj)\}$ tends to the boundary of $\Omega$ for every sequence $\{zj\}$ which tends to the boundary of D. Let f be a proper holomorphic mapping from the unit …
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Invariant Frechet algebras on bounded symmetric domains
<p>Let D be a bounded domain in the complex vector space Cn . We say that D is symmetric iff, given any two points p, q ∈ D, there is a biholomorphism &phis;, which interchanges p and q. These domains were classified abstractly by Elie Cartan in his general study of symmetric spaces, and were …
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Proper holomorphic mappings of positive codimension in several complex variables
A holomorphic mapping f from a bounded domain $\Omega$ in C$\sp{\rm n}$ to a bounded domain $\Omega\sp\prime$ in C$\sp{\rm N}$ is proper if and only if (f(z$\sb\nu$)) tends to the boundary b$\Omega\sp\prime$ for each sequence (z$\sb\nu$) that tends to b$\Omega$. If the domains are balls B$\sb{\rm …
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Elliptic problems with small parameter
… this purpose we examine in detail the case of a bounded domain with a smooth boundary. First of all, we construct formal solutions as power series in the small parameter. Then we examine their asymptotic properties. It suffices to carry out sharp two-sided \emph{a priori} estimates for the …
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Global Regularity for Euler Vortex Patch in Bounded Smooth Domains
… regular if it is regular enough initially. In bounded domains, the regularity theory for patch solutions is less complete. In this thesis, I study the Euler vortex patch in a general smooth bounded domain. I prove global in time regularity by providing the upper bound of the growth on curvature …
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Exponential Decay for the Saint-Venant Principle
… t (GREATERTHEQ) 0} where (OMEGA) is a bounded domain in (//R)('2) with the cone property and a C('3)-smooth boundary. By applying semigroup theory and spectral theory, we show that in our formulation Saint-Venant's principle is true for a class of stored energy functions of the type W = …
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A meshfree method for the Poisson equation with 3D wall-bounded flow application
… a simulation of a potential flow field in a wall-bounded domain.
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On two problems related to the Laplace operator
… Ω → ε(Ω) where Ω runs in the set of compact domains of fixed volume v in any Riemannian manifold (M; g) and where ε(Ω) is the mean exit time from of the Brownian motion. Concerning this functional, we study its critical points and prove that they are harmonic domains. We analyze the special …
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Existence and Uniqueness of a solution to a flow problem about a Rotating Obstacle at low Reynolds number
… described by the Navicr-Stokes equations in the domain n C R3. The open-bounded domain is assumed to have a cone property. The rotation of a 3- dimensional symmetrical impermeable cylindrical rigid body in the fluid is studied. The model is constructed in a manner that the equations describe a …
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Existence of Solutions Via a New Variational Principle for Nonlocal Semilinear Elliptic Equations
… $s \in (0,1],$ $n > 2s,$ $\Omega$ is an open bounded domain in $\R^n$ with $C^2$-boundary and $f \in L^2(\Omega).$ We are interested in extending this result for $s \in (0, 1]$ to $p$ greater than the critical Sobolev exponent where the compact embedding fails to hold. We shall make use of a …
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Backward stochastic Navier-Stokes equations in two dimensions
… corresponding to incompressible fluid flow in a bounded domain $G$ are studied in the second part. Suitable a priori estimates for adapted solutions of the BSNSEs are obtained which reveal a surprising pathwise $L^{infty}(H)$ bound on the solutions. The existence of solutions is shown by using a …
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Hardy Space Properties of the Cauchy Kernel Function for a Strictly Convex Planar Domain
… it is shown that for every strictly pseudoconvex domain $D$ of class $C^2$ in $\mathbb{C}^N$, the Henkin-Ram\'irez Kernel Function belongs to the Smirnov class, $E^q(D)$, for every $q\in(0,N)$.</p> <p>The main objective of this dissertation is to show an analogous result for the Cauchy Kernel …
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A dynamical systems approach to the study of local phenomena in fluid flows
… equations, notably the Navier-Stokes system on a bounded domain.
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On finite element solutions for bounded time-harmonic scattering problems with an exact nonlocal boundary condition.
… These problems are originally posed in an unbounded domain, but to easily discretize the domain, we will instead restrict to a finite, bounded domain and utilize the finite element method to solve the resulting problem. This restriction demands an additional boundary condition that introduces …
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Epistemic Uncertainty Quantification in Scientific Models
… not require the encapsulation problem to be in a bounded domain such as a hypercube; (2) does not require the solution of the encapsulation problem to converge point-wise. In the current formulation, the encapsulation problem could reside in an unbounded domain, and more importantly, its numerical …
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Walsh analysis, epistasis, and optimization problem difficulty for evolutionary algorithms
… is the bitwise nonlinearity of a function whose domain is the set of bit strings of length L. Epistasis is related to problem difficulty for evolutionary algorithms. Walsh analysis can be used to quantify epistasis. In this dissertation Walsh analysis is developed in detail starting with the …
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Non-Parametric Priors for Functional Data and Partition Labelling Models
… the Dirichlet process to the func-</p><p>tional domain, focusing on the challenges presented by extending the stick-breaking</p><p>process. In this thesis some of these are examined in more detail for similarities</p><p>and differences in their stick-breaking extensions. Two broad classes of …
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A Class of Stable, Efficient Navier-Stokes Solvers
… equations (SE) for incompressible fluids in a bounded domain with given boundary value of velocity. The incompressibility constraint and non-slip boundary condition have made this problem very challenging. Their treatment by finite element method leads to the well-known inf-sup compatibility …
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New results in stochastic moving boundary problems
… a prescribed region such as heat equation on a bounded domain, moving boundary problems are difficult to solve theoretically or numerically since we consider partial differential equations in one or two phases and at the same time need to trace the positions of the interface. Thus, they provide …
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Scaling limit of critical systems in random geometry
… begin by considering branching diffusions in a bounded domain $D\subset$ $R^{d}$, in which particles are killed upon hitting the boundary $\partial D$. It is known that such a system displays a phase transition in the branching rate: if it exceeds a critical value, the population will no longer …
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