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A. Alexandrou Himonas

A. Alexandrou Himonas

D-Index & Metrics

Mathematics

D-Index
31
Citations
3340
World Ranking
3378
National Ranking
1322

Overview

A. Alexandrou Himonas is affiliated with the University of Notre Dame in the United States, focusing on research at the intersection of mathematics and physics. Their body of work spans several interconnected disciplines, notably within advanced mathematical physics problems, nonlinear wave phenomena, and computational methods.

Their research prominently addresses topics such as:

  • Advanced Mathematical Physics Problems
  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Electromagnetic Simulation and Numerical Methods
  • Computational Fluid Dynamics and Aerodynamics
  • Navier-Stokes Equation Solutions
  • Mathematical Analysis and Transform Methods

A. Alexandrou Himonas's main and subfields of study include:

  • Mathematics
  • Physics and Astronomy
  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Applied Mathematics
  • Electrical and Electronic Engineering
  • Computational Mechanics

Their frequent publication venues highlight a focus on analysis and nonlinear equation theories, featuring contributions such as:

  • Nonlinear Analysis
  • Journal of Mathematical Analysis and Applications
  • arXiv (Cornell University)
  • Journal of Evolution Equations
  • Analysis and Mathematical Physics

Key recent publications by A. Alexandrou Himonas include:

  • "The nonlinear Schrödinger equation on the half-line with a Robin boundary condition" (2021) - Analysis and Mathematical Physics
  • "The Korteweg-de Vries equation on the half-line with Robin and Neumann data in low regularity spaces" (2022) - Nonlinear Analysis
  • "The Neumann and Robin problems for the Korteweg-de Vries equation on the half-line" (2021) - Journal of Mathematical Physics

Other works include important contributions in collaboration with coauthors such as:

  • Fangchi Yan
  • Dionyssios Mantzavinos
  • Renata O. Figueira
  • Gerson Petronilho
  • Rafael F. Barostichi

The research efforts emphasize the analysis of nonlinear dispersive partial differential equations, boundary condition problems, and their behavior in various function spaces. These studies contribute to the understanding of mathematical models used in describing nonlinear wave phenomena and related physical systems.

Best Publications

  • Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation

    A. Alexandrou Himonas;Gerard Misiołek;Gustavo Ponce;Yong Zhou

  • The Cauchy problem for the Novikov equation

    A Alexandrou Himonas;Curtis Holliman

  • Non-Uniform Dependence for the Periodic CH Equation

    A. Alexandrou Himonas;Carlos Kenig;Gerard Misiołek

  • Non-uniform dependence on initial data for the CH equation on the line

    A. Alexandrou Himonas;Carlos Kenig

  • The Cauchy problem for an integrable shallow-water equation

    A. Alexandrou Himonas;Gerard Misiołek

  • Non-Uniform Dependence on Initial Data of Solutions to the Euler Equations of Hydrodynamics

    A. Alexandrou Himonas;Gerard Misiołek

  • The nonlinear Schrödinger equation on the half-line

    Athanassios S. Fokas;A. Alexandrou Himonas;Dionyssios Mantzavinos

  • The Cauchy problem for the Fokas–Olver–Rosenau–Qiao equation

    A. Alexandrou Himonas;Dionyssios Mantzavinos

  • Analyticity of the Cauchy problem for an integrable evolution equation

    A. Alexandrou Himonas;Gerard Misiołek

  • On well-posedness of the Degasperis-Procesi equation

    A. Alexandrou Himonas;Curtis Holliman

  • The Cauchy problem for a generalized Camassa-Holm equation

    A. Alexandrou Himonas;Curtis Holliman

  • Singular solutions for sums of squares of vector fields

    Nicholas Hanges;A. Alexandrou Himonas

  • High-frequency smooth solutions and well-posedness of the Camassa-Holm equation

    A. Alexandrou Himonas;Gerard Misiołek

  • Non-uniform continuity in $H\sp 1$ of the solution map of the CH equation

    A. Alexandrou Himonas;Gerard Misiołek;Gustavo Ponce

  • The Korteweg–de Vries equation on the half-line

    Athanassios S Fokas;A Alexandrou Himonas;Dionyssios Mantzavinos

  • Hölder continuity of the solution map for the Novikov equation

    A. Alexandrou Himonas;John Holmes

  • Hölder Continuity for the Fokas–Olver–Rosenau–Qiao Equation

    A. Alexandrou Himonas;Dionyssios Mantzavinos

  • Gevrey regularity of the periodic gKdV equation

    Heather Hannah;A. Alexandrou Himonas;Gerson Petronilho

  • The "good" Boussinesq equation on the half-line

    A. Alexandrou Himonas;Dionyssios Mantzavinos

  • Analytic well-posedness of periodic gKdV

    A. Alexandrou Himonas;Gerson Petronilho

  • Equations with Peakon Traveling Wave Solutions

    Katelyn Grayshan;A. Alexandrou Himonas

Frequent Co-Authors

Carlos E. Kenig
Carlos E. Kenig University of Chicago
Gustavo Ponce
Gustavo Ponce University of California, Santa Barbara
Athanassios S. Fokas
Athanassios S. Fokas University of Cambridge

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