Faculty

Institution

Unit

Venue

Roman Shvydkoy

Professor

University of Illinois Chicago

Affiliations

College of Liberal Arts and Sciences

Mathematics, Statistics, and Computer Science

Roman Shvydkoy is currently serving as a College Of Liberal Arts And Sciences Professor at University of Illinois Chicago.

Honors

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Experiences

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Education

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Roman Shvydkoy

University of Illinois Chicago

Professor

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applied mathematics fluid dynamics mathematics fluid mechanics dynamical systems differential equations partial differential equations fluid flow hydrodynamic stability boundary value problems nonlinear dynamics nonlinear phenomena mathematical sciences numerical analysis numerical simulations computational fluid dynamics mathematical analysis incompressible flow spectral theory mathematical physics numerical mathematics rational mechanic nonlinear science nonlinear analysis mechanical engineering systems biology turbulence modeling discrete dynamical systems global analysis navier-stokes equations weak solutions general systems collective behavior numerical method for partial differential equation eulerian dynamics energy equality euler equation homogeneous solutions fractional calculus flow physics hyperbolic conservation laws euler equations scientific computing theoretical analysis compressible flows complex dynamics hyperbolic equations topological dynamics emergent dynamics fractional diffusion cucker-smale systems regularization (mathematics) evolution equations continuum mechanics theoretical modeling temporal complexity lower bounds analytic number theory energy conservation turbulent flow heat transfer topological semigroups transformation semigroups unidirectional flocks essential spectrum short-range interactions advective equations unstable spectrum atmospheric research stochastic differential equations econophysics collapse behaviour structural collapse fourier analysis geophysical flows ricci flow geometric aspects

Notable Scholarly Works

Notable Federal Grants

Collaborators

Microscopic, Mesoscopic, and Macroscopic Descriptions of the Euler Alignment System With Adaptive Communication Strength. Discrete and Continuous Dynamical Systems (2025)

biophysicsmacroscopic descriptionseuler alignment systempattern formationadaptive communication strengthmolecular biologybiosystems

Environmental Averaging. EMS Surveys in Mathematical Sciences (2024)

Roman Shvydkoy

quantitative science studiesenvironmental modellingenvironmental impact assessmentnumerical analysisenvironmental performancemathematical sciencesenvironmental analysissource apportionmentnumerical modeling (geology)environmental scienceenvironmental economicsstatistical averagingenvironmental researchnumerical simulationsapplied mathematicsecologyenvironmental planning

Generic Alignment Conjecture for Systems of Cucker–Smale Type. Journal of Evolution Equations (2024)

Roman Shvydkoy

systems engineeringtype theorygeneric alignment conjecturemathematical biologycucker-smale typesystems biologygraph theorysystematicsgeneral systemsevolutionary computationcombinatorial theoryalgebraic combinatoricsevolutionary dynamicsevolution equationsdifferential equationsevolutionary biologyevolutionary theory

On Instability of the Taylor-Green Vortex in 2D Euler Flows. arXiv (Cornell University) (2024)

Zhao, XinyuProtas, BartoszShvydkoy, Roman

taylor-green vortexfluid dynamicseuler flowsvortex dynamicsfluid mechanicsapplied mathematics

On the Inviscid Instability of the 2-D Taylor–Green Vortex. Journal of Fluid Mechanics (2024)

Xinyu ZhaoBartosz ProtasRoman Shvydkoy

fluid dynamicsvortex dynamicsinviscid instabilityfluid mechanics

Continuous Model of Opinion Dynamics With Convictions. Discrete and Continuous Dynamical Systems (2023)

Vinh NguyenRoman Shvydkoy

discrete dynamical systemspsychologydynamical systemsopinion dynamicscontinuous model

Volumetric Theory of Intermittency in Fully Developed Turbulence. Archive for Rational Mechanics and Analysis (2023)

Alexey CheskidovRoman Shvydkoy

rational mechanicfluid dynamicsturbulence modelingvolumetric theoryfluid mechanicsapplied mathematics

Well-Posedness and Long Time Behavior of the Euler Alignment System With Adaptive Communication Strength. arXiv (Cornell University) (2023)

Shvydkoy, RomanTeolis, Trevor

communicationlong time behaviorcommunications systemseuler alignment systemadaptive communication strengthadaptive communication

Existence and Stability of Unidirectional Flocks in Hydrodynamic Euler Alignment Systems. Analysis & PDE (2022)

Daniel LearRoman Shvydkoy

systems engineeringunsteady flowsfluid dynamicsaerodynamicsdynamical systemspartial differential equationsstabilityhydrodynamic stabilitynonlinear dynamicsunidirectional flocks

Geometric Structure of Mass Concentration Sets for Pressureless Euler Alignment Systems. Advances in Mathematics (2022)

Daniel LearTrevor M. LeslieRoman ShvydkoyEitan Tadmor

geometric structuremass concentration setsapplied mathematics

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Roman Shvydkoy

Professor

University of Illinois Chicago

Affiliations

College of Liberal Arts and Sciences

Mathematics, Statistics, and Computer Science

Roman Shvydkoy is currently serving as a College Of Liberal Arts And Sciences Professor at University of Illinois Chicago.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Roman Shvydkoy

University of Illinois Chicago

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Microscopic, Mesoscopic, and Macroscopic Descriptions of the Euler Alignment System With Adaptive Communication Strength. Discrete and Continuous Dynamical Systems (2025)

biophysicsmacroscopic descriptionseuler alignment systempattern formationadaptive communication strengthmolecular biologybiosystems

Environmental Averaging. EMS Surveys in Mathematical Sciences (2024)

Roman Shvydkoy

Generic Alignment Conjecture for Systems of Cucker–Smale Type. Journal of Evolution Equations (2024)

Roman Shvydkoy

On Instability of the Taylor-Green Vortex in 2D Euler Flows. arXiv (Cornell University) (2024)

Zhao, XinyuProtas, BartoszShvydkoy, Roman

taylor-green vortexfluid dynamicseuler flowsvortex dynamicsfluid mechanicsapplied mathematics

On the Inviscid Instability of the 2-D Taylor–Green Vortex. Journal of Fluid Mechanics (2024)

Xinyu ZhaoBartosz ProtasRoman Shvydkoy

fluid dynamicsvortex dynamicsinviscid instabilityfluid mechanics

Continuous Model of Opinion Dynamics With Convictions. Discrete and Continuous Dynamical Systems (2023)

Vinh NguyenRoman Shvydkoy

discrete dynamical systemspsychologydynamical systemsopinion dynamicscontinuous model

Volumetric Theory of Intermittency in Fully Developed Turbulence. Archive for Rational Mechanics and Analysis (2023)

Alexey CheskidovRoman Shvydkoy

rational mechanicfluid dynamicsturbulence modelingvolumetric theoryfluid mechanicsapplied mathematics

Well-Posedness and Long Time Behavior of the Euler Alignment System With Adaptive Communication Strength. arXiv (Cornell University) (2023)

Shvydkoy, RomanTeolis, Trevor

communicationlong time behaviorcommunications systemseuler alignment systemadaptive communication strengthadaptive communication

Existence and Stability of Unidirectional Flocks in Hydrodynamic Euler Alignment Systems. Analysis & PDE (2022)

Daniel LearRoman Shvydkoy

systems engineeringunsteady flowsfluid dynamicsaerodynamicsdynamical systemspartial differential equationsstabilityhydrodynamic stabilitynonlinear dynamicsunidirectional flocks

Geometric Structure of Mass Concentration Sets for Pressureless Euler Alignment Systems. Advances in Mathematics (2022)

Daniel LearTrevor M. LeslieRoman ShvydkoyEitan Tadmor

geometric structuremass concentration setsapplied mathematics

1
2
3
4
5
15
10 / page

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University of Southern California

partial differential equation

hydrodynamic stability

M. Burak Erdoğan

Institution

University of Illinois Urbana-Champaign

dispersive pde

nonlinear analysis

Brett Wick

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spectral theory

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