ROMAN SHVYDKOY
Professor of Mathematics
Department of Mathematics, Statistics, and
Computer Science
University of Illinois at Chicago
851 S. Morgan St. (M/C 249)
Chicago, IL 60607-7045
Office: SEO540
Email: last name at uic dot edu
Phone: (312) 413-2967; Fax: (312)
996-1491
Curriculum Vitae: [CV]
Research Interests: Fluid dynamics, Euler, Navier-Stokes systems;
Non-local parabolic equations; Collective behavior, emergent dynamics,
flocking; Turbulence, Onsager conjecture, convex integration, vanishing
viscosity limit; Instability in ideal fluids, linearization method, WKB
analysis, geometric optics; Spectral theory, pseudo-differential, harmonic and
functional analysis.
Publications:
[arXiv]
[MSN]
[ByTopic].
Editorial Board: [JMFM]
Funding: NSF DMS, College of LAS @UIC, Simons Foundation. Here is a press
release on my work under Simons Fellows 2018. I run a working group on
Mathematics of Collective Behavior [schedule].
Lecture notes and books:
1. Dynamics and analysis of alignment models of
collective behavior [amazon]
2. Functional Analysis [pdf]. Based on MATH 539
lectures.
3. Lectures on Onsager conjecture [pdf] @ MSRI
4. Lectures on Onsager conjecture [pdf] @ Kacov
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Term |
Undergraduate |
Graduate |
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Fall 2020 |
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Functional Analysis |
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Spring 2020 |
Analysis I |
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Fall 2019 |
Writing for
Mathematics |
Functional Analysis |
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Fall 2017 |
Analysis I |
MATH 313 |
ODEs |
MATH 585 |
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Spring 2017 |
Analysis I |
MATH 313 |
Classical Methods of PDEs |
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Fall 2015 |
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ODEs |
MATH 585 |
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Spring 2015 |
Vector
Calculus |
Mathematics
of Fluid Mechanics |
MATH 580 |
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Fall 2013 |
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Real Analysis I |
MATH 533 |
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Spring 2013 |
Calculus I |
Functional Analysis |
MATH 539 |
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Spring 2012 |
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Advanced
PDEs |
MATH 577 |