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 15 of 15 for “"A priori estimates"”.
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Global a priori Estimates and Sharp Existence Results for Quasilinear Equations on Nonsmooth Domains.
This thesis deals obtaining global a priori estimates for quasilinear elliptic equations and sharp existence results for Quasilinear equations with gradient nonlinearity on the right. The main results are contained in Chapters 3, 4, 5 and 6. In Chapters 3 and 4, we obtain global unweighted a priori …
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Backward stochastic Navier-Stokes equations in two dimensions
… system is studied in the first part. Suitable a priori estimates for adapted solutions of the backward stochastic Lorenz system are obtained. The existence and uniqueness of solutions is shown by the use of suitable truncations and approximations. The continuity of the adapted solutions with …
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Direct Numerical Simulation of Turbulence in a Model Solid Rocket Motor
… simulation database is also used to make a priori estimates of the relative magnitudes of subgrid terms in the filtered evolution equations. It is found that in the equations for mean momentum and resolved scale Reynolds stress, the dominant subgrid terms are the subgrid stress terms. The …
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Elliptic problems with small parameter
… It suffices to carry out sharp two-sided \emph{a priori} estimates for the operators of boundary value problems which are uniform in the small parameter. Such estimates failed to hold in functional spaces used in classical elliptic theory. To circumvent this limitation we exploit norms depending …
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Maximal Graphs and Spacelike Mean Curvature Flows in Semi-Euclidean Spaces
… PDE methods by providing sufficiently strong a priori gradient estimates. The second result is a version of Brian White’s local regularity theorem, but now for the spacelike mean curvature flow system in semi-Euclidean spaces. This is proved using a version of Huisken’s monotonicity formula. …
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Global Existence of solutions to Reaction-Diffusion Systems with Mass Transport type Boundary Conditions
… of the solution involves derivation of a priori estimates, as well as regularity of the solution, and the use of a fixed point theorem. Moreover, if vector fields satisfies certain conditions explained in dissertation, then there exists solution for all time, t>0. Classical potential …
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A SYSTEM OF SUPERLINEAR ELLIPTIC EQUATIONS IN A CYLINDER
… way to deal with the problem is the study of a priori estimates of positive solutions. We will adapt a classical idea which was introduced by Brezis and Turner and, together with a fixed point theorem, we will derive the existence result of a superlinear elliptic system which defined on a …
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Guided Waves Technique for Measurement of Contained Stress in Uniform Slender Elastic Bodies
… pressing case of railroad rail, a priori estimates for the needed precisions, followed by the numerical simulations and laboratory measurements, have established that the technique is viable. It is sensitive to contained load and, most importantly, it does not require modeling of …
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Least squares finite element methods for the Stokes and Navier-Stokes equations
… of the Agmon, Douglis and Nirenberg a priori estimates. For the second type of boundary conditions this task is more difficult and involves mesh dependent (weighted) least squares functionals. Among the main results are the optimal error estimates for the weighted least squares method …
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Error Assessment In 3D Computer Vision
… bias and the covariance matrix for image motion estimates as a function of (a) interpolation method, (b) sub-pixel motion, (c) intensity noise, (d) contrast, (e) level of uniaxial normal strain and (f) subset size.</p> <p>For one-dimensional translations, excellent agreement is demonstrated …
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Contributions to automated realtime underwater navigation
… fusion in realtime Kalman filters. Using a priori estimates of delayed measurements as augmented states minimizes the computational cost of the delay treatment. Managing the augmented states with time-varying conditional process and measurement models ensures the approach works within the …
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Contributions to automated realtime underwater navigation
… fusion in realtime Kalman filters. Using a priori estimates of delayed measurements as augmented states minimizes the computational cost of the delay treatment. Managing the augmented states with time-varying conditional process and measurement models ensures the approach works within the …
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MODELLING AND NUMERICAL STUDY OF MARBLE SULPHATION IN CULTURALE HERITAGE: A RANDOM PDE-ODE SYSTEM
… splitting strategy is adopted to derive some a priori estimates for the splitted discrete variables. Relevant results on compact embedding for time-space Besov spaces on the lattice as well some recent estimate results for the discrete heat kernel are exploited to prove a useful estimate for the …
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Mathematical study of long-range interactions in kinetic equations
… on the behaviour of solutions in form of a priori estimates. Boltzmann: In the case of the Boltzmann equation, we assume the underlying potential to be moderately soft, and we work in a conditional regime, where we assume that solutions admit bounded mass, energy and entropy. In this regime, …
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Linear and non-linear collisionless many-particle systems
… set by Einstein. Moreover, we obtain dispersion estimates for solutions to non-relativistic and relativistic Vlasov equations on geometric backgrounds. Chapter 1 contains a summary of the results presented in this thesis. The first half of this thesis concerns non-relativistic collisionless …