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Showing 1 to 20 of 23 for “"Initial boundary value problem"”.
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An initial-boundary value problem for parabolic systems
Not available
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On Initial-Boundary Value Problems for the Nonlinear Schroedinger Equation and the Ginzburg-Landau Equation
… is shown in Chapter 1. The global solution to an initial-boundary value problem for the NLS is proved in Chapter 2. Global existence of the full-line problem for the Ginzburg-Landau equation (GL) is shown in Chapter 3. In Chapter 4, the following results concerning the half-line problem for the …
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On the boundary integral equation method for the solution of some problems for inhomogeneous media / Mohammad Ivan Azis.
This thesis employs integral equation methods, or boundary element methods (BEMs), for the solution of three kinds of engineering problems associated with inhomogeneous materials or media: a class of elliptical boundary value problems (BVPs), the boundary value problem of static linear elasticity, …
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On Switching Diffusions: The Feynman-Kac Formula And Near-Optimal Controls
… equations. The formulas are verified for the boundary value problem, the initial value problem, and the initial boundary value problem. Second, we show the existence of near-optimal controls for a system driven by wideband noise in the presence of regime-switching. Using a relaxed control …
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Principios variacionales y soluciones numéricas en elasto-visco-plasticidad
… to model plasticity as well as creep. The mixed-initial boundary value problem in elasto/viscoplasticity is presented for the case of quasi-static iso- thermal process and infinitesimal deformations. Different variational formulations related to the above boundary value problan are also deduced. …
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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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A Series Solution to the Porous Medium Equation
… consider the case of a one-dimensionalaquifer, initially dry, and of semi-infinite extent. At theboundary representing a fluid source, the boundary condition isspecified as a power-law function of time. Following Barenblatt'sapproach, self-similar variables can be introduced. This reducesthe …
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The First Passage Problem in Random Vibration for a Simple Hysteretic Oscillator
… Bouc hysteresis model, has been developed. Two boundary value problems are formulated from Markov process theory and solved by a Petrov-Galerkin finite element method. The first is known as a generalized Pontriagin-Vitt equation, which when solved yields the ordinary moments of time of first …
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Infiltration of a Two-State Compressible Fluid Through a Linearly Deformed, Porous, Elastic, Fissured Rock
… measurement to yield their numerical values. Next, the mixed initial-boundary value problem is formulated by combining the five field equations with sufficient initial and boundary conditions. The finite element weighted residual method employing the Galerkin approach is selected for …
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Morse inequalities, a probabilistic approach
… to the estimation of a solution to a parabolic initial-boundary problem on a ball in the Euclidean space. We achieve that by constructing a supersolution. For the case the point is close to the critical set, we use an integration by parts in the Malliavin calculus and split the analysis for …
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Variational constitutive updates for strain gradient isotropic plasticity
… constitutive updates is presented to solve the initial boundary value problem in strain gradient isotropic plasticity. One advantage of this approach compared to the mixed methods is that it avoids the need to solve for both the displacement and the effective plastic strain fields …
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Comprehensive Theory of Heat Transfer in Heterogeneous Materials
… of a non-dimensional parameter. We formulate an initial-boundary-value problem in order to study the behavior of the general matrix temperature equation. We show that the thermalization time governs the transition of the general equation from its small-time limit to its large-time limit, which …
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Well-posedness results for a class of complex flow problems in the high Weissenberg number limit
… consists of the governing equations of the boundary layer, a thin layer formed at the wall boundary where viscosity cannot be neglected. In this dissertation, we investigate the upper convected Maxwell(UCM) model for complex fluids, or non-Newtonian fluids, in the high Weissenberg number …
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Finite difference methods for 1st Order in time, 2nd order in space, hyperbolic systems used in numerical relativity
… difference techniques for the discretization of initial value problems (IVPs) and initial boundary value problems (IBVPs) of certain hyperbolic systems which are first order in time and second order in space. This type of system appears in some formulations of Einstein equations, such as ADM, …
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Existence and stability of solutions to the equations of fibre suspension flows
A popular approach to formulating the initial-boundary value problem for fibre suspension flows is that in which fibre orientation is accounted for in an averaged sense, through the introduction of a second-order orientation tensor A. This variable, together with the velocity and pressure, then …
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Semi-analytic time-domain solutions to wave-scattering problems
… complex residues. The method is applied to two problems: a bead on a semi-infinite string and acoustic scattering by a sphere. In the first problem, the end of an infinitely long string is oscillated in a specified way. The incident wave is scattered by a bead of negligible width and specified …
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Instabilities in asymptotically AdS spacetimes
… growing mode solution satisfying a Dirichlet boundary condition at infinity. The spacetime violates the Hawking-Reall bound $r_+^2>|a|\ell$. We obtain an analogous result for Neumann boundary conditions if $5/4<\alpha<9/4$. Moreover, in the Dirichlet case, one can prove that, for any Kerr-AdS …
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Parameter estimation for unsaturated flow models
… flow experiments via inversion of the governing initial-boundary value problem is examined. Emphasis is on the estimation of parameters from in-situ experiments where available data are in the form of spatially and temporally distributed water content and pressure head measurements. The inverse …
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Finite Element Analysis of Thermoviscoplastic Deformations of an Impact-Loaded Prenotched Plate
… in these relations are found by solving an initial-boundary-value problem corresponding to simple shearing deformations so that the computed effective stress vs. the effective plastic strain curves match closely with the experimental data of Marchand and Duffy who tested thin-walled HY-100 …
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Time-domain second-order wave interactions with floating offshore structures
… of nonlinear wave-structure interaction problems has been an important topic of ocean engineering research, with practical applications relating to load and response predictions for large floating structures subjected to steep waves. With the increasing need to incorporate more accurate …
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