Faculty

Institution

Unit

Venue

Atanas Stefanov

Professor

University of Alabama at Birmingham

Affiliations

College of Arts and Sciences

Mathematics

Atanas Stefanov is currently serving as a College Of Arts And Sciences Professor at University of Alabama At Birmingham.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Atanas Stefanov

University of Alabama at Birmingham

Professor

You can click a keyword to filter the displayed items

applied mathematics mathematical physics physics mathematics applied physics wave theory mathematical analysis particle physics fluid dynamics dynamical systems stability nonlinear science spectral theory solitary waves mathematical sciences nonlinear phenomena nonlinear dynamics spectral stability periodic waves analytic number theory asymptotic stability ground states graph theory pure mathematics boundary value problems klein-gordon equations global regularity geometric topology fractional calculus applied algebra discrete dynamical systems facies analysis hydrodynamic stability fractional-order systems fractional dynamic strichartz estimates quantum science theoretical physics wave motion wave propagation fourier analysis theoretical analysis algebraic analysis global analysis complex geometry hyperbolic equations lattice theory spectral analysis singular integrals rough kernels index theory second order linear stability analysis boussinesq equation higher dimensions schrodinger maps numerical mathematics mathematical optimization nuclear science computational physics molecular science numerical simulations theoretical mathematics continuum modeling hamiltonian theory attractor dynamical analysis modern algebra geometry of numbers integral transforms harmonic space integral geometry definite integral information theory theoretical modeling finite fields

Notable Scholarly Works

Notable Federal Grants

Collaborators

Existence and Stability for Traveling Waves of Fourth‐Order Semilinear Wave and SchröDinger Equations. Studies in Applied Mathematics (2026)

abstract and applied analysisapplied mathematicsboundary value problemsnonlinear wave propagationpartial differential equationswave mechanicsnonlinear hyperbolic problemnonlinear dynamicsnonlinear sciencenonlinear functional analysisdifferential equationsnonlinear phenomenawave theorywave nonlinearitynonlinear analysis

Kinks of Fractional φ 4 Models: Existence, Uniqueness, Monotonicity, Stability, and Sharp Asymptotics *. Nonlinearity (2026)

mathematical modellingdiscrete dynamical systemsrational mechanicfractional calculusdifferential equationsabstract and applied analysisfractional dynamiccomplex dynamicsnonlinear dynamicsnonlinear phenomenastabilitynonlinear sciencefractional-order systemsnonlinear analysisnonlinear systemsasymptotic analysisapplied mathematicsdifference equationsdynamical systemsmathematics

On a Klein–Gordon Reduction for Oscillons. Journal of Nonlinear Waves (2026)

nonlinear wave propagationapplied mathematicswave mechanicsnonlinear hyperbolic problemnonlinear dynamicsnonlinear sciencemathematicsnonlinear phenomenawave theorywave nonlinearitynonlinear analysis

Asymptotic Attraction With Algebraic Rates Toward Fronts of Dispersive-Diffusive Burgers Equations. ArXiv.org (2025)

asymptotic analysisapplied mathematicsdifference equationsevolution equationspartial differential equationsnonlinear phenomenadynamical systemsnonlinear dynamicsnonlinear sciencenonlinear equationsdifferential equationsdiffusionboundary value problemsnonlinear analysis

Dynamics of the Drinfeld-Sokolov-Wilson System: Well-Posedness and (in)Stability of the Traveling Waves. Journal of Differential Equations (2025)

nonlinear wave propagationapplied mathematicsperiodic travelling wavepartial differential equationsdynamical systemsnonlinear dynamicsstabilitynonlinear sciencemathematicsdifferential equationsnonlinear phenomenawave theorywave nonlinearitynonlinear analysis

Kinks of Fractional $ϕ^4$ Models: Existence, Uniqueness, Monotonicity, Stability, and Sharp Asymptotics. ArXiv.org (2025)

mathematical modellingasymptotic analysisfractional dynamicapplied mathematicsmathematicsfractional calculusfractional-order systemsnonlinear sciencemathematical analysisdifferential equationsnonlinear analysis

On the Spectral Instability of Some Cnoidal and Snoidal Waves of the Full Klein-Gordon-Zakharov System. Dynamics of Partial Differential Equations (2025)

nonlinear systemsnonlinear wave propagationapplied mathematicsboundary value problemsperiodic travelling wavepartial differential equationsdynamical systemsnonlinear dynamicsnonlinear sciencenonlinear phenomenawave theorywave nonlinearitynonlinear hyperbolic problem

A Maximisation Technique for Solitary Waves: The Case of the Nonlocally Dispersive Whitham Equation. Archive for Rational Mechanics and Analysis (2024)

Mathias Nikolai ArnesenMats EhrnströmAtanas G. Stefanov

fluid dynamicsapplied mathematicssolitary wavesmaximisation techniquedispersive whitham equationwave theory

Global Regularity Results of the 2D Fractional Boussinesq Equations. Mathematische Annalen (2024)

Atanas StefanovJiahong WuXiaojing XuZhuan Ye

fractional dynamicapplied mathematicsgeometric analysiscomplex geometryfractional calculusfinite fieldsdynamical systemsgeometric topologyfractional-order systemsfractional boussinesq equationsmathematicsordinary differential equationsdifferential equationsnonlinear phenomenageometry and topology

On the Stability of the Dnoidal Waves for the SchröDinger-Kdv System. Proceedings of the American Mathematical Society (2024)

Sevdzhan HakkaevAtanas Stefanov

biophysicsapplied physicsstabilityschrodinger-kdv system

1
2
3
4
5
11
10 / page

Atanas Stefanov

Professor

University of Alabama at Birmingham

Affiliations

College of Arts and Sciences

Mathematics

Atanas Stefanov is currently serving as a College Of Arts And Sciences Professor at University of Alabama At Birmingham.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Atanas Stefanov

University of Alabama at Birmingham

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Existence and Stability for Traveling Waves of Fourth‐Order Semilinear Wave and SchröDinger Equations. Studies in Applied Mathematics (2026)

Kinks of Fractional φ 4 Models: Existence, Uniqueness, Monotonicity, Stability, and Sharp Asymptotics *. Nonlinearity (2026)

On a Klein–Gordon Reduction for Oscillons. Journal of Nonlinear Waves (2026)

nonlinear wave propagationapplied mathematicswave mechanicsnonlinear hyperbolic problemnonlinear dynamicsnonlinear sciencemathematicsnonlinear phenomenawave theorywave nonlinearitynonlinear analysis

Asymptotic Attraction With Algebraic Rates Toward Fronts of Dispersive-Diffusive Burgers Equations. ArXiv.org (2025)

Dynamics of the Drinfeld-Sokolov-Wilson System: Well-Posedness and (in)Stability of the Traveling Waves. Journal of Differential Equations (2025)

Kinks of Fractional $ϕ^4$ Models: Existence, Uniqueness, Monotonicity, Stability, and Sharp Asymptotics. ArXiv.org (2025)

On the Spectral Instability of Some Cnoidal and Snoidal Waves of the Full Klein-Gordon-Zakharov System. Dynamics of Partial Differential Equations (2025)

A Maximisation Technique for Solitary Waves: The Case of the Nonlocally Dispersive Whitham Equation. Archive for Rational Mechanics and Analysis (2024)

Mathias Nikolai ArnesenMats EhrnströmAtanas G. Stefanov

fluid dynamicsapplied mathematicssolitary wavesmaximisation techniquedispersive whitham equationwave theory

Global Regularity Results of the 2D Fractional Boussinesq Equations. Mathematische Annalen (2024)

Atanas StefanovJiahong WuXiaojing XuZhuan Ye

On the Stability of the Dnoidal Waves for the SchröDinger-Kdv System. Proceedings of the American Mathematical Society (2024)

Sevdzhan HakkaevAtanas Stefanov

biophysicsapplied physicsstabilityschrodinger-kdv system

1
2
3
4
5
11
10 / page

Similar Faculty Members

Mat Johnson

Institution

University of Kansas

mathematical physics

nonlinear phenomena

Alexander A. Kiselev

Institution

Duke University

applied mathematical modelling

mathematical physics

Peter A. Perry

Institution

University of Kentucky

spectral theory

inverse scattering transforms

Yu Deng

Institution

University of Southern California

partial differential equation

topological soliton

Jalal M. I. Shatah

Institution

New York University

nonlinear hyperbolic problem

hyperbolic equation

Jared Bronski

Institution

University of Illinois Urbana-Champaign

nonlinear wave propagation

wave group

Peter D. Hislop

Institution

University of Kentucky

complex analysis

random schrodinger operators

Pierre Germain

Institution

New York University

engineering

nonlinear analysis

Roman Shvydkoy

Institution

University of Illinois Chicago

applied mathematics

turbulence modeling

Kevin Zumbrun

Institution

Indiana University Bloomington

nonlinear analysis

nonlinear hyperbolic problem

Similar Faculty Members

Mat Johnson

Institution

University of Kansas

mathematical physics

nonlinear phenomena

Alexander A. Kiselev

Institution

Duke University

applied mathematical modelling

mathematical physics

Peter A. Perry

Institution

University of Kentucky

spectral theory

inverse scattering transforms

Yu Deng

Institution

University of Southern California

partial differential equation

topological soliton

Jalal M. I. Shatah

Institution

New York University

nonlinear hyperbolic problem

hyperbolic equation

Jared Bronski

Institution

University of Illinois Urbana-Champaign

nonlinear wave propagation

wave group

Peter D. Hislop

Institution

University of Kentucky

complex analysis

random schrodinger operators

Pierre Germain

Institution

New York University

engineering

nonlinear analysis

Roman Shvydkoy

Institution

University of Illinois Chicago

applied mathematics

turbulence modeling

Kevin Zumbrun

Institution

Indiana University Bloomington

nonlinear analysis

nonlinear hyperbolic problem