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Vorticity-based estimation of vertical velocities from radar data: Accuracy and sensitivity.
(2007)
In this thesis, we make use of the weak formulation of the vorticity equation and the mass continuity equation to calculate the vertical component, w, of the wind field V&ar; , given the two horizontal components u and ...
Branch-point structure and energy level calculations of diamagnetic hydrogen using dimensional perturbation theory.
(2000)
This dissertation describes the results of research that covers two distinct areas relevant to the field of physics: atomic theory and applied numerical analysis. In the first phase of this research the avoided crossings ...
Partial regularity of weak solutions of quasilinear elliptic systems and weak Harnack inequalities.
(2004)
In this thesis we study quasilinear elliptic systems of p-Laplacian type with a perturbation satisfying a natural (critical) growth condition. First, using test functions recently introduced by R. Landes we deduce ...
Analysis of energy conserving low-order models.
(2007)
It is well known in Mathematical Physics that the Volterra gyrostat and many of its special cases including the Euler gyroscope represent a prototype of energy conserving dynamical systems. It is formally proved in this ...
Affine group actions on Euclidean space.
(2006)
Upto affine conjugacy, we describe properly discontinuous rank two affine groups of Euclidean space (primarily dimensions two and three) in terms of "coordinates" of generators. In dimension two, a chosen generator is put ...
P-harmonic morphisms, minimal foliations, and conformal deformations of metrics /
(2005)
In this dissertation, we study p-harmonic morphisms and its interaction with minimal foliations and conformal deformations of metrics. We give several methods to construct non-trivial p-harmonic morphisms via conformal ...
Existence and stability of solitary-wave solutions of equations of Benjamin-Bona-Mahony type.
(2000)
This thesis studies the existence and stability of solitary-wave solutions fx-ct of equations of the form ut+fux +Mut=0 . It is proved that there exist stable sets of solitary wave profile functions for a general class ...
On the normal accessibility property of actions in manifolds: Ramifications in pseudo semi-groups of local diffeomorphisms.
(2002)
Note. Continuous-time systems only fit into action framework when using piecewise constant controls. If we want the action manifold to be second countable, the we must further restrict piecewise constant controls to take ...
Geometric evolution equations and p-harmonic theory with applications in differential geometry.
(2006)
In this dissertation, we consider parabolic (e.g. Ricci flow) and elliptic (e.g. p-harmonic equations) partial differential equations on Riemannian manifolds and use them to study geometric and topological problems. More ...
Projection functions and classes of centrally symmetric convex bodies.
(2000)
We also study averages of projections and show that all convex bodies in Ed are determined by averages of their three dimensional projections. This is in contrast to the case of two dimensional projections where there ...