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Mathematics

D-Index
35
Citations
4633
World Ranking
2799
National Ranking
1146

Overview

William C. Troy is affiliated with the University of Pittsburgh in the United States and has contributed to research primarily in the fields of Physics and Astronomy as well as Engineering. Their work often intersects various subfields including Statistical and Nonlinear Physics, Mathematical Physics, Mechanical Engineering, Computer Networks and Communications, and Molecular Biology.

Their research topics encompass several advanced scientific areas, notably:

  • Advanced Mathematical Physics Problems
  • Nonlinear Waves and Solitons
  • Nonlinear Dynamics and Pattern Formation
  • Photosynthetic Processes and Mechanisms
  • Photoreceptor and Optogenetics Research
  • Nonlinear Photonic Systems
  • Black Holes and Theoretical Physics

William C. Troy has published multiple research papers across well-regarded scientific journals and repositories. These include:

  • "Logarithmic spiral solutions of the Kopell-Howard lambda-omega reaction-diffusion equations," 2022, published in Chaos An Interdisciplinary Journal of Nonlinear Science
  • "Logarithmic and hyperbolic spirals associated with Schrodinger's equation," 2022, published in Journal of Differential Equations
  • "Zero Energy Self-Similar Solutions Describing Singularity Formation In The Nonlinear Schrodinger Equation In Dimension N=3," 2022, available on arXiv (Cornell University)
  • "Sparks of Quantum Advantage and Rapid Retraining in Machine Learning," 2024, available on arXiv (Cornell University)
  • "New insights into the behavior of the classic aging spring problem," 2025, published in Discrete and Continuous Dynamical Systems (co-authored by Edward V. Krisner)

Frequently, William C. Troy collaborates with other researchers, including Edward V. Krisner.

Their publications have appeared in several venues with notable frequency, including:

  • arXiv (Cornell University)
  • Chaos An Interdisciplinary Journal of Nonlinear Science
  • Journal of Differential Equations
  • Discrete and Continuous Dynamical Systems

Best Publications

  • Spiral Waves in Disinhibited Mammalian Neocortex

    Xiaoying Huang;William C. Troy;Qian Yang;Hongtao Ma

  • Spatial Patterns: Higher Order Models in Physics and Mechanics

    L. A Peletier;W. C Troy

  • MULTIPLE BUMPS IN A NEURONAL MODEL OF WORKING MEMORY

    Carlo R. Laing;William C. Troy;Boris Gutkin;G. Bard Ermentrout

  • Symmetry properties in systems of semilinear elliptic equations

    William C. Troy

  • PDE Methods for Nonlocal Models

    Carlo R. Laing;William C. Troy

  • Uniqueness of flow of a second-order fluid past a stretching sheet

    William C. Troy;Edward A. Overman;G. B. Ermentrout;James P. Keener

  • An existence theorem for the flow of a non-newtonian fluid past an infinite porous plate

    K.R. Rajagopal;A.Z. Szeri;W. Troy

  • EXACT HOMOCLINIC AND HETEROCLINIC SOLUTIONS OF THE GRAY-SCOTT MODEL FOR AUTOCATALYSIS*

    J. K. Hale;L. A. Peletier;William C. Troy

  • Stationary solutions of a fourth-order nonlinear diffusion equation

    L. A. Peletier;R. C. A. M. Van der Vorst;W. C. Troy

  • Spatial patterns described by the extended Fisher-Kolmogorov equation: periodic solutions

    L. A. Peletier;W. C. Troy

  • Radial solutions of Δu+f(u)= 0 with prescribed numbers of zeros

    Kevin McLeod;W.C Troy;W.C Troy;F.B Weissler;F.B Weissler;F.B Weissler

  • Solutions of third-order differential equations relevant to draining and coating flows

    William C. Troy

  • A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation

    L. A. Peletier;W. C. Troy

  • Bursting phenomena in a simplified Oregonator flow system model

    John Rinzel;William C. Troy

  • Spatial patterns described by the extended Fisher-Kolmogorov (EFK) equation: kinks

    L. A. Peletier;W. C. Troy

  • Two-bump solutions of Amari-type models of neuronal pattern formation

    Carlo R. Laing;William C. Troy

  • Chaotic Spatial Patterns Described by the Extended Fisher–Kolmogorov Equation

    L.A. Peletier;W.C. Troy

  • Global branches of multi-bump periodic solutions of the Swift-Hohenberg equation

    G. J. B. van den Berg;L. A. Peletier;W. C. Troy

  • The bifurcation of periodic solutions in the Hodgkin-Huxley equations

    William C. Troy

  • The existence of traveling wave front solutions of a model of the Belousov-Zhabotinskii chemical reaction☆

    William C Troy;William C Troy

Frequent Co-Authors

Lambertus A. Peletier
Lambertus A. Peletier Leiden University
John Rinzel
John Rinzel New York University
G. Bard Ermentrout
G. Bard Ermentrout University of Pittsburgh
Boris Gutkin
Boris Gutkin École Normale Supérieure
Steven J. Schiff
Steven J. Schiff Yale University
Jonathan E. Rubin
Jonathan E. Rubin University of Pittsburgh
James P. Keener
James P. Keener University of Utah
Mehrdad Massoudi
Mehrdad Massoudi United States Department of Energy
Xinfu Chen
Xinfu Chen University of Pittsburgh

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