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Alan C. Newell, Regents' Professor of Mathematics at the University of Arizona, was born in Dublin on Guy Fawkes day in 1941. He currently lives and enjoys the outdoor life in Tucson, Arizona, with his wife Tish who deserves most of the credit for bringing up two sons, Jamie and Matt, and two daughters, Shane and Pippa, each of whom makes their parents very proud. Summers are spent on the most beautiful coastline on earth in northwest Donegal.
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Courses
  • CII
    Calculus II

  • IODE
    Introduction to Ordinary Differential Equations

  • AAA
    Advanced Applied Analysis

Grants
  • Funding agency logo
    Collaborative Research: GCR: Collective Behavior and Patterning of Topological Defects: from String Theory to Crystal Plasticity

    Co-Investigator (COI)

    2020

    $194.5K
    Active
  • Funding agency logo
    Phyllotactic Patterns and Pattern Quarks and Leptons

    Principal Investigator (PI)

    2013

    $245.2K
  • Funding agency logo
    Patterns in Nature and in the Laboratory

    Principal Investigator (PI)

    2009

    $288.0K
  • Funding agency logo
    Wave Turbulance: Computational and Theoretical Investigations of a Story Far from Over

    Principal Investigator (PI)

    2008

    $150.0K
News
  • Awards and Accolades

    2012

  • Observing Nature to Help Make Sense of a Complex World

    2011

  • This Homecoming, Step Into UA Science

    2011

  • How Nature's Patterns Form

    2011

  • UA Astronomer Dennis Zaritsky Named 2006 Guggenheim Fellow

    2006

  • Professors, Students to be Honored at BookStore Reception

    2006

  • UA Mathematicians Predict Patterns in Fingerprints, Cacti

    2004

  • UA Regents' Prof Honored

    2004

  • UA Construction Projects Up for Regents' Approval

    2004

  • UA Recognizes Outstanding Scholars and Teachers

    2004

  • Regents' Professor Alan Newell Finds Order in Chaos

    2004

  • New Docs, Hospitals Match Up March 20

    2003

  • Herbert Carter Fellow Announced

    2001

Publications (138)
Recent
  • Elastic sheets, phase surfaces and pattern universes

    2016

  • 'Quarks' and 'leptons' in three dimensional patterns

    2014

  • Phyllotaxis: A review of papers, but a story far from over

    2014

  • Wave instability under short wave amplitude perturbations

    2013

  • Fibonacci patterns; Common or Rare

    2013

  • Wave instability under short-wave amplitude modulations

    2013

  • Phyllotaxis, Pushed Pattern-Forming Fronts and Optimal Packing

    2013

  • Phyllotaxis, pushed pattern-forming fronts, and optimal packing

    2013

  • Fibonacci patterns: Common or rare?

    2013

  • Pattern quarks and leptons

    2012

  • Canonical and singular propagation of ultrashort pulses in a nonlinear medium

    2012

  • Optical shock and blow-up of ultrashort pulses in transparent media

    2012

  • Spontaneous breaking of the spatial homogeneity symmetry in wave turbulence

    2012

  • How universal are Fibonacci patterns?

    2011

  • Wave turbulence

    2011

  • Dynamical scaling and the finite-capacity anomaly in three-wave turbulence

    2010

  • Turbulent transfer of energy by radiating pulses

    2009

  • Phyllotaxis as an example of the symbiosis of mechanical forces and biochemical processes in living tissue

    2008

  • The role of the generalized Phillips' spectrum in wave turbulence

    2008

  • Phyllotaxis: Cooperation and competition between mechanical and biochemical processes

    2008

  • Communication through plasma sheaths

    2007

  • Erratum: Finite time collapse of N classical fields described by coupled nonlinear Schrödinger equations (Physical Review E (2006) 74 (047602))

    2007

  • Finite-time collapse of N classical fields described by coupled nonlinear Schrödinger equations

    2006

  • Mean creep: The soft mode in elastic sheet buckling

    2005

  • Plants and fibonacci

    2005

  • Polygonal planforms and phyllotaxis on plants

    2005

  • Fingerprint formation

    2005

  • Intermittency as a consequence of turbulent transport in nonlinear systems

    2004

  • Phyllotactic patterns on plants

    2004

  • A model for fingerprint formation

    2004

  • Dimensional analysis and weak turbulence

    2003

  • Localization and coherence in nonintegrable systems

    2003

  • Non-stationary spectra of local wave turbulence

    2003

  • Structure functions and breakdown criteria for wave turbulence

    2003

  • Anisotropic turbulence of shear-Alfvén waves

    2002

  • Shock bowing and vorticity dynamics during propagation into different transverse density profiles

    2002

  • Wave turbulence is almost always intermittent at either small or large scales

    2002

  • On wave turbulence in MHD

    2001

  • Coherent structures and entropy in constrained, modulationally unstable, nonintegrable systems

    2001

  • Wave turbulence and intermittency

    2001

  • Breakdown of wave turbulence and the onset of intermittency

    2001

  • Non-local MHD turbulence

    2001

  • The effect of fore-shock heating in the plasma drag-reduction problem

    2000

  • Weak turbulence theory for incompressible magnetohydrodynamics

    2000

  • Nonlinear dynamics of sand banks and sand waves

    2000

  • Finite Flux Solutions of the Quantum Boltzmann Equation and Semiconductor Lasers

    2000

  • Competition between nonlinearity, dispersion and randomness in signal propagation

    1999

  • A wavelet based algorithm for pattern analysis

    1998

  • Natural patterns and wavelets

    1998

  • Quantum weak turbulence with applications to semiconductor lasers

    1998

  • Theory and simulation on the threshold of water breakdown induced by focused ultrashort laser pulses

    1997

  • Statistical description of acoustic turbulence

    1997

  • Resonant quasiperiodic patterns in a three-dimensional lasing medium

    1997

  • Semiconductor lasers and Kolmogorov spectra

    1997

  • Effects of laser-induced breakdown, self-focusing, and plasma shielding on ultrashort-pulse propagation in the eye

    1996

  • Universal description of laser dynamics near threshold

    1995

  • Communication with reentry space vehicles via short pulses

    1995

  • Phase diffusion and phase propagation: interesting connections

    1995

  • Resonant absorption of short pulses

    1995

  • Femtosecond pulse splitting, supercontinuum generation and conical emission in normally dispersive media

    1994

  • Towards a universal theory for natural patterns

    1994

  • Conical emission from short-pulse propagation in normally dispersive media

    1994

  • Swift-Hohenberg equation for lasers

    1994

  • Short-pulse conical emission and spectral broadening in normally dispersive media

    1994

  • Nonlinear transverse modes of large-aspect-ratio homogeneously broadened lasers: I. Analysis and numerical simulation

    1994

  • The effects of normal dispersion on collapse events

    1994

  • Nonlinear propagation of short pulses in the eye

    1994

  • Pattern dynamics in large aspect ratio lasers

    1994

  • Foreword

    1994

  • Nonlinear transverse modes of large-aspect-ratio homogeneously broadened lasers: II. Pattern analysis near and beyond threshold

    1994

  • Self-focusing threshold in normally dispersive media

    1994

  • Transverse patterns in lasers

    1994

  • Communication through plasma sheaths via Raman (three-wave) scattering process

    1994

  • Beam collapse as an explanation for anomalous ocular damage

    1993

  • Space-time complexity in nonlinear optics

    1993

  • Order parameter equations for patterns

    1993

  • Amplitude instabilities of transverse traveling waves in lasers

    1993

  • Turbulent crystals in macroscopic systems

    1993

  • Instabilities of dislocations in fluid patterns

    1992

  • Rough sea foam

    1992

  • Inverse cascades in turbulence

    1992

  • Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation

    1992

  • Spatial soliton optical switches: a soliton-based equivalent particle approach

    1992

  • Intermittency and turbulence

    1991

  • Competition between generic and nongeneric fronts in envelope equations

    1991

  • Phase diffusion and mean drift equations for convection at finite Rayleigh numbers in large containers

    1990

  • Convection at finite Rayleigh numbers in large-aspect-ratio containers

    1990

  • Transmission, reflection, and trapping of collimated light beams in diffusive Kerr-like nonlinear media

    1990

  • Nonlinear optics

    1990

  • Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface

    1989

  • Theory of light-beam propagation at nonlinear interfaces. II. Multiple-particle and multiple-interface extensions

    1989

  • Mathematical modeling of beam reflection, transmission and trapping at nonlinear optical interfaces

    1988

  • Turbulent transport and the random occurence of coherent events

    1988

  • Solitary waves as fixed points of infinite-dimensional maps for an optical bistable ring cavity: Analysis

    1988

  • Lax pairs, Backlund transformations and special solutions for ordinary differential equations

    1988

  • Turbulent dissipation rates and the random occurrence of coherent events

    1988

  • Snell's laws at the interface between nonlinear dielectrics

    1988

  • A unified approach to Painlevé expansions

    1987

  • Evolution of the order parameter in situations with broken rotational symmetry

    1986

  • Chaos and coherent structures in partial differential equations

    1986

  • The Hirota conditions

    1986

  • Benjamin-Feir turbulence in convective binary fluid mixtures

    1986

  • Preface

    1986

  • Propagation of solitary waves in channels of decreasing depth

    1985

  • New class of instabilities in passive optical cavities

    1985

  • The shape of stationary dislocations

    1985

  • REFLECTIONS FROM SOLITARY WAVES IN CHANNELS OF DECREASING DEPTH.

    1985

  • Convection patterns in large aspect ratio systems

    1984

  • Focusing: A mechanism for instability of nonlinear finite difference equations

    1983

  • Two Dimensional Convection Patterns in Large Aspect Ratio Systems

    1983

  • Solitary waves as fixed points of infinite-dimensional maps in an optical bistable ring cavity

    1983

  • Chaos in the inhomogeneously driven sine-Gordon equation

    1981

  • Propagation of surface and internal solitary waves in nonuniform media

    1981

  • SHELVES AND THE KORTEWEG-DE VRIES EQUATION.

    1980

  • HOW INTERNAL WAVES TRAVELLING ON A THERMOCLINE CHANGE POLARITY NEAR CRITICAL POINTS.

    1980

  • Internal solitary waves near a turning point

    1980

  • Evolution equations, singular dispersion relations, and moving eigenvalues

    1979

  • GENERAL STRUCTURE OF INTEGRABLE EVOLUTION EQUATIONS.

    1979

  • Theory of nonlinear oscillating dipolar excitations in one-dimensional condensates

    1978

  • The inverse scattering transform, nonlinear waves, singular perturbations and synchronized solitons

    1978

  • Breakdown of Zakharov-Shabat theory and soliton creation

    1977

  • Nonlinear tunnelling

    1977

  • On the coleman correspondence and the solution of the massive thirring model

    1977

  • An exact solution for a derivative nonlinear Schrödinger equation

    1977

  • Synchronized solitons

    1976

  • STABILITY CRITERION FOR ENVELOPE EQUATIONS.

    1974

  • INVERSE SCATTERING TRANSFORM-FOURIER ANALYSIS FOR NONLINEAR PROBLEMS.

    1974

  • The decay of the continuous spectrum for solutions of the Korteweg-deVries equation

    1973

  • Method for solving the sine-gordon equation

    1973

  • SPHERICAL SHELLS LIKE HEXAGONS. CYLINDERS PREFER DIAMONDS - 1.

    1973

  • The role of resonant interactions in the dynamic stability of elastic systems

    1973

  • Coherent pulse propagation, a dispersive, irreversible phenomenon

    1973

  • Nonlinear-evolution equations of physical significance

    1973

  • RANDOM WAVE CLOSURES

    1969

  • ROSSBY WAVE PACKET INTERACTIONS

    1969

  • FINITE BANDWIDTH, FINITE AMPLITUDE CONVECTION

    1969

  • An alternative proof of the Poincaré-Bertrand formula for real integrals and its generalization to n dimensions

    1968

  • Statistical properties of the sea

    1967

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