Personal information

Partial Differential Equations, Applied Mathematics, Optimal Control and Calculus of Variations

Biography

Mostafa Fazly’s area of expertise lies in applied mathematics, and particularly in applied analysis, mathematical biology, mathematical physics and optimization. Fazly has been interested in applying mathematical reasoning and ideas to study equations and problems originating in the sciences.

Fazly serves as the Assistant Dean for Faculty Support at the College of Science and is a member of the COS Faculty Success team. In this role, he contributes to faculty development by assisting with evaluation processes, coordinating peer mentorship programs, supporting tenure and promotion cases, and facilitating third-year reviews. His work focuses on creating a supportive and collaborative environment to help faculty achieve their professional goals and enhance the academic mission of the College of Science.

As an Undergraduate Advisor of Record (UGAR), Fazly provides academic advising to undergraduate students. His role involves helping students plan their academic careers by assisting with course selection, major and minor exploration, and degree progress tracking. His main teaching interests include dynamical systems, calculus of variations and differential equations, which he teaches at both the undergraduate and graduate levels.

Since joining UTSA in 2017, Fazly has been a member of several course development initiatives to redesign and improve undergraduate and graduate-level mathematics courses within his department. He has also chaired or been a member of multiple master’s thesis committees and advises undergraduate students on their honors research projects.

Fazly received his Ph.D. in Mathematics from the University of British Columbia. Prior to his tenure at UTSA, Fazly was a Max Wyman Assistant Professor at the University of Alberta.

Activities

Employment (6)

The University of Texas at San Antonio: San Antonio, US

2024-07-01 to present | Assistant Dean for Faculty Support (College of Science)
Employment
Source: Self-asserted source
Mostafa Fazly

The University of Texas at San Antonio: San Antonio, US

2023-09-01 to present | Associate Professor (Mathematics)
Employment
Source: Self-asserted source
Mostafa Fazly

The University of Texas at San Antonio: San Antonio, US

2023-09-01 to 2024-08-31 | Lutcher Brown Fellow (Mathematics)
Employment
Source: Self-asserted source
Mostafa Fazly

The University of Texas at San Antonio: San Antonio, US

2017-01-01 to 2023-08-31 | Assistant Professor (Mathematics)
Employment
Source: Self-asserted source
Mostafa Fazly

University of Alberta: Edmonton, CA

2013-07-01 to 2016-06-30 | Max Wyman Assistant Professor (Mathematical Sciences)
Employment
Source: Self-asserted source
Mostafa Fazly

University of British Columbia: Vancouver, CA

2008-09-01 to 2013-05-01 | Research and Teaching Assistant (Mathematics)
Employment
Source: Self-asserted source
Mostafa Fazly

Education and qualifications (1)

University of British Columbia: Vancouver, CA

2008-09-01 to 2013-05-01 | PhD (Mathematics)
Education
Source: Self-asserted source
Mostafa Fazly

Funding (4)

Lutcher Brown Fellowship

2023 to 2024 | Award
The University of Texas at San Antonio (San Antonio, US)
Source: Self-asserted source
Mostafa Fazly

Start-Up Award Package

2017 to 2019 | Contract
The University of Texas at San Antonio (San Antonio, US)
Source: Self-asserted source
Mostafa Fazly

Discovery Grant and Early Career Grant

2014 to 2019 | Grant
Natural Sciences and Engineering Research Council of Canada (NSERC) (Alberta, CA)
Source: Self-asserted source
Mostafa Fazly

Max Wyman Position Start-up

2013 to 2016 | Contract
University of Alberta (Edmonton, CA)
Source: Self-asserted source
Mostafa Fazly

Works (39)

Asymptotic Morse Index Formulas for Radial Solutions of the Sine-Gordon and Sinh-Poisson Equations on Expanding Shells

Submitted
2025 | Journal article
Contributors: Mostafa Fazly; Yasuhito Miyamoto
Source: Self-asserted source
Mostafa Fazly

Classification of finite Morse index solutions of higher-order Gelfand-Liouville equation

Discrete and Continuous Dynamical Systems-A
2025 | Journal article
Contributors: Mostafa Fazly; Juncheng Wei; Wen Yang
Source: Self-asserted source
Mostafa Fazly

Exact solutions and classification of linearized eigenvalue problems for one-dimensional Gross-Pitaevskii system

Journal of Mathematical Physics
2025 | Journal article
Contributors: Mostafa Fazly; Yasuhito Miyamoto
Source: Self-asserted source
Mostafa Fazly

Morse Index of Radial Solutions in the Gross-Pitaevskii System on Expanding Spherical Shells: An Asymptotic Formula

Submitted
2025 | Journal article
Contributors: Mostafa Fazly; YASUHITO MIYAMOTO
Source: Self-asserted source
Mostafa Fazly

Linear Coupling Effects in the 1D Gross-Pitaevskii System: Exact Solutions and Eigenvalue Problems

Submitted
2024 | Journal article
Contributors: Mostafa Fazly; Yasuhito Miyamoto
Source: Self-asserted source
Mostafa Fazly

Stability Analysis for Bidirectional Associative Memory Neural Networks: A New Global Asymptotic Approach

Submitted
2024 | Journal article
Contributors: N. M. Thoiyab; Mostafa Fazly; R. Vadivel; N. Gunasekaran
Source: Self-asserted source
Mostafa Fazly

De Giorgi type results for equations with nonlocal lower-order terms

Annali di Matematica Pura ed Applicata
2023 | Journal article
EID:

2-s2.0-85135853582

Part of ISSN: 16181891 03733114
Contributors: Fazly, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

PARTIAL REGULARITY for WEAK SOLUTIONS of ANISOTROPIC LANE-EMDEN EQUATION

Proceedings of the American Mathematical Society
2022 | Journal article
EID:

2-s2.0-85122007726

Part of ISSN: 10886826 00029939
Contributors: Fazly, M.; Li, Y.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Critical domain sizes of a discrete-map hybrid and reaction-diffusion model on hostile exterior domains

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
2021 | Journal article
EID:

2-s2.0-85112321209

Part of ISSN: 14643634 02724960
Contributors: Fazly, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

On stable and finite Morse index solutions of the fractional Toda system

Journal of Functional Analysis
2021 | Journal article
EID:

2-s2.0-85097387904

Part of ISSN: 10960783 00221236
Contributors: Fazly, M.; Yang, W.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

On stable and finite Morse index solutions of the nonlocal Hénon-Gelfand–Liouville equation

Calculus of Variations and Partial Differential Equations
2021 | Journal article
EID:

2-s2.0-85100377333

Part of ISSN: 14320835 09442669
Contributors: Fazly, M.; Hu, Y.; Yang, W.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Partial regularity and liouville theorems for stable solutions of anisotropic elliptic equations

Discrete and Continuous Dynamical Systems- Series A
2021 | Journal article
EID:

2-s2.0-85105040892

Part of ISSN: 15535231 10780947
Contributors: Fazly, M.; Li, Y.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Symmetry and asymmetry of components for elliptic Gross-Pitaevskii system

Journal of Differential Equations
2021 | Journal article
EID:

2-s2.0-85090744083

Part of ISSN: 10902732 00220396
Contributors: Fazly, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Analysis of propagation for impulsive reaction-diffusion models

SIAM Journal on Applied Mathematics
2020 | Journal article
EID:

2-s2.0-85084432887

Part of ISSN: 00361399
Contributors: Fazly, M.; Lewis, M.; Wang, H.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

On nonlocal systems with jump processes of finite range and with decays

Journal of Differential Equations
2020 | Journal article
EID:

2-s2.0-85072796413

Part of ISSN: 10902732 00220396
Contributors: Fazly, M.; Gui, C.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Regularity of extremal solutions of nonlocal elliptic systems

Discrete and Continuous Dynamical Systems- Series A
2020 | Journal article
EID:

2-s2.0-85074908664

Part of ISSN: 15535231 10780947
Contributors: Fazly, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Monotonicity formulas for coupled elliptic gradient systems with applications

Advances in Nonlinear Analysis
2019 | Journal article
EID:

2-s2.0-85067448110

Part of ISSN: 2191950X 21919496
Contributors: Fazly, M.; Shahgholian, H.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Symmetry properties for solutions of nonlocal equations involving nonlinear operators

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
2019 | Journal article
EID:

2-s2.0-85050870826

Part of ISSN: 02941449
Contributors: Fazly, M.; Sire, Y.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Stable solutions of symmetric systems involving hypoelliptic operators

Journal of Functional Analysis
2018 | Journal article
EID:

2-s2.0-85032029530

Part of ISSN: 10960783 00221236
Contributors: Fazly, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Entire solutions of quasilinear symmetric systems

Indiana University Mathematics Journal
2017 | Journal article
Contributors: Mostafa Fazly
Source: Self-asserted source
Mostafa Fazly

On finite Morse index solutions of higher order fractional Lane-Emden equations

American Journal of Mathematics
2017 | Journal article
EID:

2-s2.0-85016578393

Part of ISSN: 10806377 00029327
Contributors: Fazly, M.; Wei, J.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

On impulsive reaction-diffusion models in higher dimensions

SIAM Journal on Applied Mathematics
2017 | Journal article
EID:

2-s2.0-85014425714

Part of ISSN: 00361399
Contributors: Fazly, M.; Lewis, M.; Wang, H.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Solutions of multi-component fractional symmetric systems

Nonlinear Differential Equations and Applications
2017 | Journal article
EID:

2-s2.0-85021642349

Part of ISSN: 14209004 10219722
Contributors: Fazly, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Stable solutions of symmetric systems on Riemannian manifolds

Proceedings of the American Mathematical Society
2017 | Journal article
EID:

2-s2.0-85032961755

Part of ISSN: 10886826 00029939
Contributors: Fazly, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

On stable solutions of the fractional Hénon-Lane-Emden equation

Communications in Contemporary Mathematics
2016 | Journal article
EID:

2-s2.0-84955069070

Part of ISSN: 02191997
Contributors: Fazly, M.; Wei, J.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

A pointwise inequality for the fourth-order lane-emden equation

Analysis and PDE
2015 | Journal article
EID:

2-s2.0-84944463660

Part of ISSN: 1948206X 21575045
Contributors: Fazly, M.; Wei, J.-C.; Xu, X.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Higher-dimensional solutions for a nonuniformly elliptic equation

International Mathematics Research Notices
2015 | Journal article
EID:

2-s2.0-84940421555

Part of ISSN: 16870247 10737928
Contributors: Fazly, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Rigidity results for stable solutions of symmetric systems

Proceedings of the American Mathematical Society
2015 | Journal article
EID:

2-s2.0-84944213216

Part of ISSN: 10886826 00029939
Contributors: Fazly, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Symmetry Results for Fractional Elliptic Systems and Related Problems

Communications in Partial Differential Equations
2015 | Journal article
EID:

2-s2.0-84937218043

Part of ISSN: 15324133 03605302
Contributors: Fazly, M.; Sire, Y.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Liouville theorems for the polyharmonic Hénon-Lane-Emden system

Methods and Applications in Analysis
2014 | Journal article
URI:

https://www.intlpress.com/site/pub/files/_fulltext/journals/maa/2014/0021/0002/MAA-2014-0021-0002-a005.pdf

Contributors: Mostafa Fazly
Source: Self-asserted source
Mostafa Fazly

On the henon-lane-emden conjecture

Discrete and Continuous Dynamical Systems- Series A
2014 | Journal article
EID:

2-s2.0-84892175577

Part of ISSN: 10780947 15535231
Contributors: Fazly, M.; Ghoussoub, N.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Regularity of the extremal solutions associated to elliptic systems

Journal of Differential Equations
2014 | Journal article
EID:

2-s2.0-84908509871

Part of ISSN: 10902732 00220396
Contributors: Cowan, C.; Fazly, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

De Giorgi type results for elliptic systems

Calculus of Variations and Partial Differential Equations
2013 | Journal article
EID:

2-s2.0-84879499889

Part of ISSN: 09442669
Contributors: Fazly, M.; Ghoussoub, N.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Liouville type theorems for stable solutions of certain elliptic systems

Advanced Nonlinear Studies
2012 | Journal article
EID:

2-s2.0-84867313608

Part of ISSN: 15361365
Contributors: Fazly, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

On stable entire solutions of semi-linear elliptic equations with weights

Proceedings of the American Mathematical Society
2012 | Journal article
EID:

2-s2.0-84857349534

Part of ISSN: 00029939
Contributors: Cowan, C.; Fazly, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Uniqueness of solutions for a nonlocal elliptic eigenvalue problem

Mathematical Research Letters
2012 | Journal article
EID:

2-s2.0-84872545042

Part of ISSN: 1945001X 10732780
Contributors: Cowan, C.; Fazly, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Periodic solutions for a semi-ratio-dependent predator-prey dynamical system with a class of functional responses on time scales

Discrete and Continuous Dynamical Systems - Series B
2008 | Journal article
EID:

2-s2.0-70350690250

Part of ISSN: 15313492
Contributors: Mostafa, F.; Hesaaraki, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Periodic solutions for predator-prey systems with Beddington-DeAngelis functional response on time scales

Nonlinear Analysis: Real World Applications
2008 | Journal article
EID:

2-s2.0-38949204083

Part of ISSN: 14681218
Contributors: Fazly, M.; Hesaaraki, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier

Periodic solutions for a discrete time predator-prey system with monotone functional responses

Comptes Rendus Mathematique
2007 | Journal article
EID:

2-s2.0-34547947990

Part of ISSN: 1631073X
Contributors: Fazly, M.; Hesaaraki, M.
Source: Self-asserted source
Mostafa Fazly via Scopus - Elsevier