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 205 for “"initial data"”.
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Numerical studies of Black Hole initial data
Diese Doktorarbeit behandelt neue Methoden der numerischen Evolution von Systemen mit binären Schwarzen Löchern. Wir analysieren und vergleichen Evolutionen von verschiedenen physikalisch motivierten Anfangsdaten und zeigen Resultate der ersten Evolution von so genannten 'Thin Sandwich' Daten, die …
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Nonlinear dispersive equations with random initial data
… with respect to a suitable randomization of the initial data. In particular, this provides examples of initial data of supercritical regularity which lead to global solutions. The proof is based upon Bourgain's high-low frequency decomposition and improved averaging effects for the free evolution …
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ANALYZING AND IMPROVING INITIAL DATA FOR BINARY BLACK HOLES
… binary black holes require the specification of initial data to be used with evolution equations. The physics of a binary black hole system in numerical relativity will largely be determined by the initial data. This dissertation is concerned with the analysis and improvement of that initial …
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Initial data to vacuum Einstein equations with asymptotic expansion
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998.
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The Cauchy problem and the initial data problem in effective theories of gravity
… a theory of gravity is the possibility to choose initial data that represents astrophysically realistic systems. Some of the physically most interesting systems are approximately isolated systems and can be modelled by asymptotically flat spacetimes. The second part of the thesis discusses three …
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A revised procedure for analysis of initial data for a dynamical hurricane track prediction model.
Thesis. 1977. M.S.--Massachusetts Institute of Technology. Dept. of Meteorology.
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Initial Value Problems for Creeping Flow of Maxwell Fluids
… We study the well-posedness of the resulting PDE initial-boundary value problem. This well-posedness depends on the unique solvability of an elliptic boundary value problem. We first present results for the 3D case, locally and globally in time, with sufficiently small initial data, and for a …
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Finite element approximations of Burgers' equation
… those schemes to compute the response to various initial conditions and Reynolds numbers. It is known that for sufficiently small initial data, all steady state solutions of Burgers' equation with Neumann boundary conditions are constant. The goal here is to investigate the case where initial data …
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Asymptotic stability and completeness in 2D nonlinear Schrodinger equation
… asymptotic completeness in the regime of small initial data, i.e. any small initial data evolves into a superposition of a solitary wave (ground state) and a radiative part that decays in time.
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Rotating black hole spacetimes
"A new family of initial data sets, along with a study of their evolutions including apparent horizons, event horizons and gravitational radiation, is presented. These initial data sets represent distorted rotating black holes, and two types of non-rotating black holes with odd-parity radiation …
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Energy methods for reaction-diffusion problems
… a monotone increasing one-parameter family of initial data starting with zero data, small values of the parameter lead to extinction, whereas large values of the parameter may lead to spreading, i.e., the solution converging locally uniformly to a positive spatially independent stable steady …
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Numerical approximation and identification problems for singular neutral equations
… of the method is shown for a large class of initial data including the case of discontinuous initial function. Using this technique, an identification problem is solved for a particular SNFDE. The technique is also applied to other different examples. Even for the special case in which the …
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Self-shrinkers of mean curvature flow and harmonic map heat flow with rough boundary data
… open disk into a closed manifold, given any H¹ initial data and boundary data, which is the restriction of the initial data on the boundary of the disk. Previously, under an additional assumption on boundary regularity, this uniqueness result was obtained by Rivière (when the target manifold is …
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Einstein constraints gluing and toroidal cusps
… connected sum gluing for constant mean curvature initial data sets to the vacuum Einstein Field Equations, obtaining new initial data on the joined manifold. The new data set is arbitrarily close to the original data set outside of the gluing region, controlled by the length of the neck joining …
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Asymptotic staticity and tensor decompositions with fast decay conditions
… of a large class of asymptotically flat vacuum initial data for Einstein's field equations which are static or stationary in a neighborhood of space-like infinity, yet quite general in the interior. The proof relies on some abstract, non-constructive arguments which makes it difficult to …
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Smoothing properties of certain dispersive nonlinear partial differential equations
… solution flow is of higher regularity than the initial data. We establish this property, and some of its consequences, for several equations. The first part of the thesis studies a periodic coupled Korteweg-de Vries (KdV) system. This system, known as the Majda-Biello system, displays an …
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Some asymptotic stability results for the Boussinesq equation
… of the Boussinesq equation with relatively small initial data exists globally and decays exponentially under some boundary conditions.
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Numerical simulations of neutron star - black hole mergers
… step towards simulations of mixed binaries. Initial data are necessary for every numerical simulation. However, the creation of such initial data for general relativistic situations is in general very complicated. In this work it is shown how to obtain initial data for mixed binary systems …
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Blow-up in a degenerate parabolic equation with gradient nonlinearity
… the maximal solutions corresponding to any initial data exist global in time, or any maximal solution blows up independently of the initial data, or there are global solutions (for small initial data) as well as blow-up (for large initial data). In Chapter 2 we show that, if kappa is …
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Moving mesh methods for solving parabolic partial differential equations
… across the domain throughout time, where the initial distribution is based upon the given initial data. For the moving boundary cases, the mesh movement at the boundary is governed by a second monitor function. The method is applied with different monitor functions, to the semilinear heat …
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