2026 A. Alexandrou Himonas: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	31	3379	3019	1322	1105	113	3340

A. Alexandrou Himonas publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where A. Alexandrou Himonas sits on this spectrum.

42 publications 537+

This scientist: 113 publications — 17th percentile

17% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

A. Alexandrou Himonas D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where A. Alexandrou Himonas sits on this spectrum.

30 D-Index 86+

This scientist: 31 D-Index — 9th percentile

9% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

267
Citations
The Cauchy problem for the Novikov equation

A Alexandrou Himonas;Curtis Holliman

243
Citations
Non-Uniform Dependence for the Periodic CH Equation

A. Alexandrou Himonas;Carlos Kenig;Gerard Misiołek

181
Citations
Non-uniform dependence on initial data for the CH equation on the line

A. Alexandrou Himonas;Carlos Kenig

176
Citations
The Cauchy problem for an integrable shallow-water equation

A. Alexandrou Himonas;Gerard Misiołek

166
Citations
Non-Uniform Dependence on Initial Data of Solutions to the Euler Equations of Hydrodynamics

A. Alexandrou Himonas;Gerard Misiołek

126
Citations
The nonlinear Schrödinger equation on the half-line

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

92
Citations
The Cauchy problem for the Fokas–Olver–Rosenau–Qiao equation

A. Alexandrou Himonas;Dionyssios Mantzavinos

91
Citations
Analyticity of the Cauchy problem for an integrable evolution equation

A. Alexandrou Himonas;Gerard Misiołek

83
Citations
On well-posedness of the Degasperis-Procesi equation

A. Alexandrou Himonas;Curtis Holliman

83
Citations
The Cauchy problem for a generalized Camassa-Holm equation

A. Alexandrou Himonas;Curtis Holliman

78
Citations
Singular solutions for sums of squares of vector fields

Nicholas Hanges;A. Alexandrou Himonas

74
Citations
High-frequency smooth solutions and well-posedness of the Camassa-Holm equation

A. Alexandrou Himonas;Gerard Misiołek

72
Citations
Non-uniform continuity in $H\sp 1$ of the solution map of the CH equation

A. Alexandrou Himonas;Gerard Misiołek;Gustavo Ponce

67
Citations
The Korteweg–de Vries equation on the half-line

Athanassios S Fokas;A Alexandrou Himonas;Dionyssios Mantzavinos

64
Citations
Hölder continuity of the solution map for the Novikov equation

A. Alexandrou Himonas;John Holmes

57
Citations
Hölder Continuity for the Fokas–Olver–Rosenau–Qiao Equation

A. Alexandrou Himonas;Dionyssios Mantzavinos

51
Citations
Gevrey regularity of the periodic gKdV equation

Heather Hannah;A. Alexandrou Himonas;Gerson Petronilho

47
Citations
The "good" Boussinesq equation on the half-line

A. Alexandrou Himonas;Dionyssios Mantzavinos

47
Citations
Analytic well-posedness of periodic gKdV

A. Alexandrou Himonas;Gerson Petronilho

45
Citations
Equations with Peakon Traveling Wave Solutions

Katelyn Grayshan;A. Alexandrou Himonas

33
Citations

Frequent Co-Authors

Carlos E. Kenig University of Chicago

Gustavo Ponce University of California, Santa Barbara

Athanassios S. Fokas University of Cambridge

External Links

Personal website of A. Alexandrou Himonas

If you think any of the details on this page are incorrect, let us know.

Related Online Degrees & Career Pathways

For students studying Mathematics in the USA, exploring online degree options can open diverse career opportunities. Many aspiring professionals consider advanced business credentials, which complement mathematical skills well. Programs like the easiest mba programs to get into offer accessible options for those seeking to boost their management expertise with minimal barriers to entry.

Additionally, the easiest online mba programs to get into provide flexibility, allowing students to balance studies with work or research commitments. This flexibility is crucial for math majors interested in leadership roles or entrepreneurship.

For those aiming at higher executive or academic positions, affordable advanced doctorates like the most affordable online dba programs create pathways to specialize further in business administration with a focus on data-driven decision-making.

Finance is another natural extension for mathematics graduates. Pursuing an online masters in finance programs can build quantitative finance expertise for careers in investment banking, risk management, or financial analysis. Overall, these related online degrees can broaden career prospects while leveraging strong mathematical foundations.