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Mathematics

D-Index
30
Citations
4650
World Ranking
3472
National Ranking
1352

Research.com Recognitions

  • 2015 - SIAM Fellow For contributions to the theory of dynamical systems and partial differential equations.
  • 2015 - Fellow of the American Mathematical Society For contributions to dynamical systems and mathematical physics.

Overview

C. Eugene Wayne is affiliated with Boston University in the United States. Their research spans multiple fields including Physics and Astronomy, Mathematics, and Engineering, with a focus on several subfields such as Statistical and Nonlinear Physics, Mathematical Physics, Computational Mechanics, Applied Mathematics, and Computer Networks and Communications.

The scientist has contributed to topics that cover Nonlinear Photonic Systems, Advanced Mathematical Physics Problems, Nonlinear Dynamics and Pattern Formation, Computational Fluid Dynamics and Aerodynamics, Nonlinear Waves and Solitons, Advanced Harmonic Analysis Research, and Mathematical Analysis and Transform Methods.

Recent publications by C. Eugene Wayne include the following:

  • Decay of Hamiltonian Breathers Under Dissipation, 2020, Communications in Mathematical Physics
  • Exponential bound of the integral of Hermite functions product with Gaussian weight, 2022, Journal of Mathematical Analysis and Applications
  • Damped and driven breathers and metastability, 2023, Quarterly of Applied Mathematics
  • Asymptotic approximation of a modified compressible Navier-Stokes system, 2023, Indiana University Mathematics Journal
  • Asymptotic approximation of a modified compressible Navier-Stokes system, 2020, arXiv (Cornell University)

Frequent coauthors collaborating with C. Eugene Wayne are:

  • Ryan Goh
  • Roland Welter
  • Trevor A. Norton
  • Jean-Pierre Eckmann
  • Vadim Zharnitsky

The scientist has published in various venues, including:

  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Journal of Mathematical Analysis and Applications
  • Quarterly of Applied Mathematics
  • Indiana University Mathematics Journal

C. Eugene Wayne has been recognized with the title of Fellow of the American Mathematical Society in 2015 for contributions to dynamical systems and mathematical physics. In the same year, they were also named a SIAM Fellow for contributions to the theory of dynamical systems and partial differential equations.

Best Publications

  • Newton's method and periodic solutions of nonlinear wave equations

    Walter Craig;C. Eugene Wayne

  • Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory

    C. Eugene Wayne

  • Scaling Theory for Noisy Period-Doubling Transitions to Chaos

    Boris Shraiman;C. Eugene Wayne;Paul C. Martin

  • Invariant Manifolds and the Long-Time Asymptotics of the Navier-Stokes and Vorticity Equations on R2

    Thierry Gallay;C. Eugene Wayne

  • The long‐wave limit for the water wave problem I. The case of zero surface tension

    Guido Schneider;C. Eugene Wayne

  • Ultra-short pulses in linear and nonlinear media

    Y Chung;C K R T Jones;T Schäfer;C E Wayne

  • Global Stability of Vortex Solutions of the Two-Dimensional Navier-Stokes Equation

    Thierry Gallay;C. Eugene Wayne

  • Localization in Disordered, Nonlinear Dynamical Systems

    Jürg Fröhlich;Thomas Spencer;C. Eugene Wayne

  • Invariant Manifolds for a Class of Dispersive, Hamiltonian, Partial Differential Equations

    Claude-Alain Pillet;C.Eugene Wayne

  • The Euler-Bernoulli beam equation with boundary energy dissipation

    G. Chen;S. G. Krantz;D. W. Ma;C. E. Wayne

  • The Rigorous Approximation of Long-Wavelength Capillary-Gravity Waves

    Guido Schneider;C. Eugene Wayne

  • Analysis designs, and behavior of dissipative joints for coupled beams

    G. Chen;S. G. Krantz;D. L. Russell;C. E. Wayne

  • Metastability and rapid convergence to quasi-stationary bar states for the two-dimensional Navier–Stokes equations

    Margaret Beck;C. Eugene Wayne

  • Long-time asymptotics of the Navier-Stokes and vorticity equations on R(3).

    Thierry Gallay;C Eugene Wayne

  • Invariant Manifolds for Parabolic Partial Differential Equations on Unbounded Domains

    C. Eugene Wayne

  • Kawahara dynamics in dispersive media

    Guido Schneider;C.Eugene Wayne

  • The non-linear stability of front solutions for parabolic partial differential equations

    Jean-Pierre Eckmann;C. Eugene Wayne

  • Propagating fronts and the center manifold theorem

    J. P. Eckmann;C. E. Wayne

  • On Irwin’s proof of the pseudostable manifold theorem

    Rafael de la Llave;C. Eugene Wayne

  • Existence and Stability of Traveling Pulses in a Continuous Neuronal Network

    David J. Pinto;Russell K. Jackson;C. Eugene Wayne

  • Using Global Invariant Manifolds to Understand Metastability in the Burgers Equation with Small Viscosity

    Margaret Beck;C. Eugene Wayne

  • A Biologically Constrained, Mathematical Model of Cortical Wave Propagation Preceding Seizure Termination

    Laura R. González-Ramírez;Omar J. Ahmed;Sydney S. Cash;C. Eugene Wayne

  • Cohomology equations near hyperbolic points and geometric versions of sternberg linearization theorem

    Unknown

Frequent Co-Authors

Jean-Pierre Eckmann
Jean-Pierre Eckmann University of Geneva
Guido Schneider
Guido Schneider University of Stuttgart
Rafael de la Llave
Rafael de la Llave Georgia Institute of Technology
Sydney S. Cash
Sydney S. Cash Harvard University
Mark A. Kramer
Mark A. Kramer Boston University
Goong Chen
Goong Chen Texas A&M University
Steven G. Krantz
Steven G. Krantz Washington University in St. Louis
Claude-Alain Pillet
Claude-Alain Pillet Université de Toulon

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