We analyze the convergence to equilibrium of solutions to the nonlinear Berger plate evolution
equation in the presence of localized interior damping (also referred to as geometrically constrained
damping). Utilizing the results in [24], we have that any trajectory converges to the set of stationary
points N. Employing standard assumptions...
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Erratum to: Decay Rates to Equilibrium for Nonlinear Plate
We analyze the convergence to equilibrium of solutions to the nonlinear Berger plate evolution
equation in the presence of localized interior damping (also referred to as geometrically constrained
damping). Utilizing the results in [24], we have that any trajectory converges to the set of stationary
points N. Employing standard assumptions...
Full Text:
Berger plate evolutionequation in the presence of localized interior damping (also referred to as
Highly resolved pressure measurements on the seafloor over New Jersey’s continental shelf reveal the pressure signature of nonlinear internal waves of depression as negative pressure perturbations. The sign of the perturbation is determined by the dominance of the internal hydrostatic pressure (p⁰Wh) due to isopycnal displacement over the contributions of...
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Seafloor Pressure Measurements of Nonlinear Internal Waves
J. N
Lateral stirring is a basic oceanographic phenomenon affecting the distribution of physical, chemical, and biological fields. Eddy stirring at scales on the order of 100 km (the mesoscale) is fairly well understood and explicitly represented in modern eddy-resolving numerical models of global ocean circulation. The same cannot be said for...
To investigate the dynamics of the Atlantic meridional overturning circulation (AMOC) on
timescales longer than the observational records, model-data comparisons of past AMOC variability
are imperative. However, this remains challenging because of dissimilarities between different proxy-based
AMOC tracers and the difficulty of comparing these to model output. We present an...
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The evolution of deep-ocean flow speeds and δ¹³C under
Nonlinear optical processes can be described as multiphoton scattering events in terms of high order perturbation theory. The standard procedure for quantitative calculation of high order terms is to impose a steady state condition on the perturbative radiation fields. In the present work, this condition will be lifted, and explicit...
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Doctor of Philosophy in Physics presented on
August 30, 1995. Title:
Linear and Nonlinear Optical
Understanding the drivers of species occurrence is a fundamental goal in basic and applied ecology. Occupancy models have emerged as a popular approach for inferring species occurrence because they account for problems associated with imperfect detection in field surveys. Current models, however, are limited because they assume covariates are independent...
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Integrating occupancy models and structural equation models to
Three-dimensional finite element models are developed to simulate the behavior of four fill-scale reinforced concrete beams. The beams are constructed with different fiber-reinforced polymer (FRP) strengthening schemes, and are modeled using ANSYS, a commercially available finite element analysis program. The experimental beams replicate the transverse beams of the Horsetail Creek...
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experimental data from the full-scale beam tests
through the linear and nonlinear ranges up to failure
Lateral stirring is a basic oceanographic phenomenon affecting the distribution of physical, chemical, and biological fields. Eddy stirring at scales on the order of 100 km (the mesoscale) is fairly well understood and explicitly represented in modern eddy-resolving numerical models of global ocean circulation. The same cannot be said for...
Carbon nanotubes are the subject of intense interest in virtually every field, from medicine to
nano-scale electrical components. Multi-walled nanotubes exhibit a strong nonlinear response
to high-field strength terahertz radiation. This research uses terahertz pulses with field strength
exceeding 1 MV/cm generated by means of optical rectification utilizing a lithium...
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experimental data.
• This equation called the error metric includes information about how both the modulus
(or