University of Arizona Department of Mathematics
Overview
Works:  22 works in 25 publications in 1 language and 14 library holdings 

Publication Timeline
.
Most widely held works by
University of Arizona
Proceedings of the Special Semester on Infinite Abelian Groups, Spring, 1972 by Special Semester on Infinite Abelian Groups(
Book
)
3 editions published between 1972 and 1973 in English and held by 4 WorldCat member libraries worldwide
3 editions published between 1972 and 1973 in English and held by 4 WorldCat member libraries worldwide
Modelling Swell High Frequency Spectral and Wave Breaking by
V. E Zakharov(
Book
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
My longterm goal was development of a selfconsistent analytical, dynamical and statistical theory of weak and strong nonlinear interactions in ocean gravity waves. The theory should be supported by the extensive numerical simulations as well as by laboratory experiments and field observations. The theory will be used as a basis for development of approximate models of Snl, which can be used in a new generation of operational models for wave forecasting. Another goal is the development of the theory of wave breaking which will make it possible to find a welljustified estimate for the rate of energy dissipation due to this process. The level of nonlinearity in an ensemble of winddriven ocean waves is relatively small. It makes it possible to apply for its statistical description the theory of weak turbulence. In the most simple case, it is the theory of kinetic (Hasselmann's) equation for spectra of the normalized wave action. The kinetic equation has a remarkable family of exact stationary Kolmogorovtype solutions. They are governed by two parameters: fluxes of energy and momentum to the region of high wave numbers, and can be applied for description of energy spectra in the 'universal' range behind the spectral peak. All Kolmogorov spectra have asymptotics E(w)similar or equal w(4) after averaging in angle. The exact kinetic equation is too complicated to be used in the operational model of wave prediction. Thus, the development of its approximate models is an actual problem. The wavebreaking, which in most cases participate in the wave dynamics is a strongly nonlinear process, makes an important contribution to energy dissipation. So far, there is no reliable theory for this phenomenon. I combine in my work the analytical methods of mathematical physics with massive numerical simulation end construction of simple phenomenological models. All results are compared with laboratory experiments and field observations
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
My longterm goal was development of a selfconsistent analytical, dynamical and statistical theory of weak and strong nonlinear interactions in ocean gravity waves. The theory should be supported by the extensive numerical simulations as well as by laboratory experiments and field observations. The theory will be used as a basis for development of approximate models of Snl, which can be used in a new generation of operational models for wave forecasting. Another goal is the development of the theory of wave breaking which will make it possible to find a welljustified estimate for the rate of energy dissipation due to this process. The level of nonlinearity in an ensemble of winddriven ocean waves is relatively small. It makes it possible to apply for its statistical description the theory of weak turbulence. In the most simple case, it is the theory of kinetic (Hasselmann's) equation for spectra of the normalized wave action. The kinetic equation has a remarkable family of exact stationary Kolmogorovtype solutions. They are governed by two parameters: fluxes of energy and momentum to the region of high wave numbers, and can be applied for description of energy spectra in the 'universal' range behind the spectral peak. All Kolmogorov spectra have asymptotics E(w)similar or equal w(4) after averaging in angle. The exact kinetic equation is too complicated to be used in the operational model of wave prediction. Thus, the development of its approximate models is an actual problem. The wavebreaking, which in most cases participate in the wave dynamics is a strongly nonlinear process, makes an important contribution to energy dissipation. So far, there is no reliable theory for this phenomenon. I combine in my work the analytical methods of mathematical physics with massive numerical simulation end construction of simple phenomenological models. All results are compared with laboratory experiments and field observations
Expansions of relativistic scattering amplitudes and harmonic analysis on the Lorentz group by
Pavel Winternitz(
Book
)
1 edition published in 1973 in English and held by 1 WorldCat member library worldwide
1 edition published in 1973 in English and held by 1 WorldCat member library worldwide
Singular integrals in harmonic analysis from the point of view of group representations by
Elias M Stein(
Book
)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
Induced representations and Lie groups by Robert J Blattner(
Book
)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
Lectures on probabilistic metric spaces by
B Schweizer(
Book
)
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
Mathematical methods in the theory of wave motion. [Lectures presented at the University of Arizona, 196465 by
Calvin H Wilcox(
Book
)
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
Polydisc algebras by
Walter Rudin(
Book
)
1 edition published in 1972 in English and held by 1 WorldCat member library worldwide
1 edition published in 1972 in English and held by 1 WorldCat member library worldwide
Induced representations by
Adam Kleppner(
Book
)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
Lecture series by
University of Arizona(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Arizona plot(
)
1 edition published in 1989 and held by 0 WorldCat member libraries worldwide
A preliminary version of a graphics package that plots f(x), parametric, polar, data, polynomials, and more. Contains ideas for projects
1 edition published in 1989 and held by 0 WorldCat member libraries worldwide
A preliminary version of a graphics package that plots f(x), parametric, polar, data, polynomials, and more. Contains ideas for projects
Findpoly(
)
1 edition published in 1989 and held by 0 WorldCat member libraries worldwide
Gives the user any information about a selected polynomial (graph, derivative, zeros, value)  except what it is. The student has to identify the polynomial. Designed for Calculus I
1 edition published in 1989 and held by 0 WorldCat member libraries worldwide
Gives the user any information about a selected polynomial (graph, derivative, zeros, value)  except what it is. The student has to identify the polynomial. Designed for Calculus I
Function algebras and the local maximum principle by
C. E Rickart(
Book
)
1 edition published in 1971 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1971 in English and held by 0 WorldCat member libraries worldwide
Are you ready for calculus I?(
)
1 edition published in 1987 and held by 0 WorldCat member libraries worldwide
1 edition published in 1987 and held by 0 WorldCat member libraries worldwide
Are you ready for calculus II?(
)
1 edition published in 1989 and held by 0 WorldCat member libraries worldwide
Reviews those parts of calculus I which are essential for success in calculus II
1 edition published in 1989 and held by 0 WorldCat member libraries worldwide
Reviews those parts of calculus I which are essential for success in calculus II
Are you ready for calculus?(
)
1 edition published in 1987 and held by 0 WorldCat member libraries worldwide
Contains "Are you ready for Calculus I?" and "Are you ready for business calculus?" Reviews those parts of college algebra (and trigonometry, in the case of Calculus I), which are essential for success in calculus
1 edition published in 1987 and held by 0 WorldCat member libraries worldwide
Contains "Are you ready for Calculus I?" and "Are you ready for business calculus?" Reviews those parts of college algebra (and trigonometry, in the case of Calculus I), which are essential for success in calculus
Are you ready for calculus III?(
)
1 edition published in 1989 and held by 0 WorldCat member libraries worldwide
Reviews those aspects of Calculus I and Calculus II which are essential for success in Calculus III
1 edition published in 1989 and held by 0 WorldCat member libraries worldwide
Reviews those aspects of Calculus I and Calculus II which are essential for success in Calculus III
Twiddle(
)
1 edition published in 1989 and held by 0 WorldCat member libraries worldwide
A graphics package that plots f(x) containing parameters a, b, and c. Then these parameters can be "twiddled" and the graph redrawn. A data set can be fitted in this way. Contains ideas for projects
1 edition published in 1989 and held by 0 WorldCat member libraries worldwide
A graphics package that plots f(x) containing parameters a, b, and c. Then these parameters can be "twiddled" and the graph redrawn. A data set can be fitted in this way. Contains ideas for projects
Are you ready for calculus I? ; Are you ready for business calculus? by
David Lovelock(
)
1 edition published in 1989 and held by 0 WorldCat member libraries worldwide
Reviews those parts of college algebra and trigonometry which are essential for success in calculus or business calculus
1 edition published in 1989 and held by 0 WorldCat member libraries worldwide
Reviews those parts of college algebra and trigonometry which are essential for success in calculus or business calculus
Are you ready for college algebra?(
)
1 edition published in 1990 and held by 0 WorldCat member libraries worldwide
Reviews those parts of algebra which are essential for success in college algebra
1 edition published in 1990 and held by 0 WorldCat member libraries worldwide
Reviews those parts of algebra which are essential for success in college algebra
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Associated Subjects
Abelian groups AlgebraComputerassisted instruction Algebraic functionsComputerassisted instruction Analytic functions Business mathematicsComputerassisted instruction CalculusComputerassisted instruction Computer programs EquationsComputerassisted instruction Exponents (Algebra)Computerassisted instruction Factors (Algebra)Computerassisted instruction Functional analysis Function algebras Gravity wavesMathematical models Harmonic analysis IBM Personal ComputerComputer programs Infinite groups Integral operators Interpolation Lie groups LogarithmsComputerassisted instruction Lorentz groups Numerical integrationComputerassisted instruction Ocean wavesMathematical models PolynomialsComputerassisted instruction Representations of groups Scattering (Physics) Singular integrals Topology TrigonometryComputerassisted instruction Wavemotion, Theory of Waves
Alternative Names
University of Arizona. Dept. of Mathematics
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