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 22 for “"Long-Time Behavior"”.
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Long-time Behavior and Multiscale Description of Models of Collective Dynamics
We study the well-posedness and long-time dynamics of various models of collective dynamics.
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I. A pressure Poisson method for the incompressible Navier-Stokes equations : II. Long time behavior of the Klein-Gordon equations
… discretized in theory to any order in space and time, while preserving the accuracy of solutions up to the domain boundary. We also devise a second order method to solve the recast system in curved geometries immersed within a regular grid. In the second problem, we examine the long time behavior …
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LONG TIME BEHAVIOR OF LINEAR AND NONLINEAR WAVES:LARGE LARGE AMPLITUDE TRAVELING QUASI-PERIODIC SOLUTIONS IN FLUID MECHANICS AND DYNAMICS OF LINEAR WAVE EQUATIONS
… this is the first result in which global in time, large amplitude solutions are constructed for the 2D non-resistive MHD system with periodic boundary conditions. For the $\beta$-plane equation the invertibility of the linearized operator requires completely different strategy since the …
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A study of long time behavior of aqueous solution of polyethylene oxide (Peo) and aqueous salt (potassium sulfate) solution of Peo using dynamic light scattering
This work involves the study of the long time behavior of dilute aqueous solutions of polyethylene oxide (PEO) and the properties of dilute aqueous salt (K{dollar}\sb2{dollar}SO{dollar}\sb4{dollar}) solutions of PEO by using the dynamic light scattering technique; The long time study measurement …
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Energy methods for reaction-diffusion problems
… studies of these equations is to understand the long time behavior of solutions of the associated Cauchy problem. These kinds of questions were originally studied in the context of combustion modeling. For suitable nonlinearity and a monotone increasing one-parameter family of initial data …
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Non-linear propagation of waves on two-dimensional liquid sheets
The long time behavior of antisymmetric as well as symmetric waves on a two-dimensional liquid sheet is studied, the effects of the surrounding fluid being taken into account. The non-linear Schrödinger equation governing the wave motion is derived by the method of multiple scales. Modulatory …
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Spectral Methods For The Hamiltonian Systems
… structure up to the machine error in each</p> <p>time (large) step, and therefore has a better long time behavior.</p>
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On long time dynamic and singularity formation of NLS
In this thesis, we investigate the long time behavior of focusing mass critical nonlinear Schrödinger equation (NLS). We will focus on the singularity formation and long time asymptotics. To be specific, there are two parts in the thesis. In the first part, we give a construction of log-log blow up …
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Theory of High Temperature Spin Dynamics
… and inelastic neutron scattering. At the same time. those problems represent an important limit for the study of strongly interacting many-body systerns. In this thesis, we consider systems of interacting spins-both classical and quantum-and develop the quantitative theory of the time-dependent …
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On stochastic completeness of weighted graphs
In this thesis we are concerned with the long time behavior of continuous time random walks on infinite graphs. The following three related problems are considered. 1. Stochastic completeness of the random walk. We characterize the stochastic completeness of the random walk in terms of …
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The development of nonlinear surface and internal wave groups
… wave evolution was observed in an unusually long wave channel as a function of steepness and group length. Dissipation and frequency downshifting were important characteristics of the long-time evolution. The amplitude and phase modulations were obtained using the Hilbert transform and …
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Some mathematical problems in the dynamics of stochastic second-grade fluids
… are expounded. We also give two results on the long time behavior of the strong probabilistic solution of this stochastic model. Mainly we prove that the strong probabilistic solution of our stochastic model converges exponentially in mean square to the stationary solution of the …
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An Estimation Problem of Large Claims on Actuarial Decisions
… related to the claim size process, claim times, claim arrival process, inter-arrival times of the claims, and independence. When these conditions are met, the number of claims follows a Poisson process. The expected value of the total claim amount is determined by calculating the product …
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Long Time Dynamics of Spherical Objects Governed by Surface Tension
… In the first part of this thesis, we study the long time behavior of an idealistic model of elastic membrane driven by surface tension and inner air pressure. The system is a degenerate quasilinear hyperbolic one that involves the mean curvature, and also includes a damping term that models the …
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Properties Of Nonlinear Randomly Switching Dynamic Systems: Mean-Field Models And Feedback Controls For Stabilization
… continuity of sample path, positive recurrence, long-time behavior. We also proved that when switching process changes much more frequently, the two-time-scale limit exists.</p> <p>In Chapter 3 and Chapter 4, we consider the feedback control for stabilization of nonlinear dynamic systems. Chapter …
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Coupling in SPDEs and spectral analysis of heavy-tailed random operators
… and wave equations are considered, as well as long-time behavior and small-mass limit. Two related works on solving McKean-Vlasov SDEs with non-Lipschitz coefficients, and a support theorem on parabolic SPDEs with Hölder diffusion coefficients are also included. In the second part, the author …
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Monte Carlo analysis of non-equilibrium steady states and relaxation kinetics in driven lattice gases
We numerically investigate the long-time behavior of the density-density auto-correlation function in driven lattice gases, with particle exclusion and periodic boundary conditions in one, two, and three dimensions using precise Monte Carlo simulations of larger system sizes than previous studies. …
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Numerical Analysis for Data-Driven Reduced Order Model Closures
… investigation of the closure term's role in long-time integration. We theoretically prove and numerically show that there is energy exchange from the most energetic modes to the least energetic modes in closure terms in a long time averaging. One of the promising contributions of this …
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Spectral properties of the random conductance model
… two sites is the same in both directions. The long-time behavior of such a random walk, when it is killed at the boundary of a large box, is intimately linked to the first eigenvectors and eigenvalues of its generator with zero Dirichlet boundary condition. This follows directly from the …
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Modeling and Analysis of Falling Liquid Films
… term. The existence of weak solutions, the long-time behavior of solutions for a constant initial condition, and the general qual- itative behavior of solutions are all considered. The thin film equation with a source is a highly simplified version of the model derived earlier in the thesis. …
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