Arizona State University

Publications

2026

From Flow-Box Invariants to Global Conservation Laws: Machine Learning-Assisted Detection of Singularities and Near-Integrability
J. Adriazola, W. Zhu, I. G. Kevrekidis, P. G. Kevrekidis
(submitted)
arXiv
Finite-time conservation defect on the Henon-Heiles Poincare section
On the dispersionless limit of the Manakov system, its Riemann invariants, and the modulational stability of its counterpropagating plane waves
J. Adriazola, G. Biondini
(submitted)
arXiv
Space-time density of a seeded counterpropagating Manakov plane wave
Learning Lax Pairs: Revisiting the Classical Paradigm
J. Adriazola, G. Biondini, W. Zhu, P. G. Kevrekidis
Studies in Applied Mathematics (to appear)
PDF
Floquet spectral stability schematic
Structure-Preserving Optimal Control of Maxwell's Equations with Applications to Source Cloaking
H. Antil, Y. Owusu-Agyemang, R. Khandelwal, J. Adriazola, D. Ridzal
(submitted)
PDF
Floquet spectral stability schematic
Learning Volterra Memory Kernels for Non-Markovian Qubit Dynamics
J. Adriazola, K. Roszak
Physical Review A
PDF
Floquet spectral stability schematic
Machine Learning of Nonlinear Waves: Data-Driven Methods for Computer-Assisted Discovery of Equations, Symmetries, Conservation Laws, and Integrability
J. Adriazola, P.G. Kevrekidis, V. Koukouloyannis, W. Zhu
Nonlinearity
PDF
Floquet spectral stability schematic

2025

Stability of periodic traveling waves for the hydroelastic Whitham equation
M.V. Flamarion, J. Adriazola
Wave Motion
PDF
Floquet spectral stability schematic
Computer Assisted Discovery of Integrability via SILO:
Sparse Identification of Lax Operators
J. Adriazola, W. Zhu, P.G. Kevrekidis, A. Aceves
SIAM Journal on Applied Dynamical Systems
PDF
SILO schematic or heatmap
Nonconvex optimization strategy for computing convex-roof entanglement
J. Adriazola, K. Roszak
Physical Review A
PDF
Convex-roof entanglement figure
Experimentally tractable generation of high-order rogue waves in Bose-Einstein condensates
J. Adriazola, P. G. Kevrekidis
Physical Review E
PDF
High-order rogue wave figure

2024

Fractal dimension of non-Newtonian Hele-Shaw flow subject to Saffman-Taylor instability
J. Adriazola, B. Gu, L.J. Cummings, L. Kondic
Physical Review E
PDF
Hele-Shaw fractal figure
Terahertz nondestructive evaluation of additively manufactured and multilayered structures
A.T. Clark, J. Nemati, C. Bolton, N. Warholak, J. Adriazola, I. Gatley, S. Gatley, J. Federici
Encyclopedia of Condensed Matter Physics (Second Edition)
PDF
Terahertz NDE figure

2023

Efficient manipulation of Bose–Einstein Condensates in a double-well potential
J. Adriazola, R.H. Goodman, P.G. Kevrekidis
Communications in Nonlinear Science and Numerical Simulation
PDF
BEC double-well figure
Apodizer Design to Efficiently Couple Light into a Fiber Bragg Grating
J. Adriazola, R.H. Goodman
SIAM Journal on Applied Mathematics
PDF
Fiber Bragg Grating figure

2022

Optimal control approach to gradient-index design for beam reshaping
J. Adriazola, R.H. Goodman
Journal of the Optical Society of America A
PDF
Beam matching figure
Reduction-based strategy for optimal control of Bose-Einstein condensates
J. Adriazola, R.H. Goodman
Physical Review E
PDF
BEC ROM figure