
Sergey Dyachenko on ResearchGate
Sergey Dyachenko on Google Scholar
PDF (Sept 2023)

My interest lies in fluid dynamics, specifically in the singularity formation in flows with
free surface. Dynamics of the ocean surface in the high steepness regime often demonstrates
breaking waves, and whitecapping at the crests of the steep waves. These spectacular events
are associated with singularity formation, and its evolution in the Euler (or NavierStokes)
equations with the free boundary.
In small steepness regime the envelope of a train of periodic travelling waves on the ocean surface
is described by the nonlinear Schroedinger equation (NLSE), which is a spectacularly rich and interesting
equation. The NLSE and other integrable systems are in the list of my most favoured models to work with.
My toolbox consists of computational mathematics and methods of applied mathematics. I enjoy coding in C,
Python, Matlab and Julia.

Water waves (Link to Stokes wave website)
Nonlinear waves in optical media
KellerSegel model
BoseEinstein condensaion
Numerical simulations

14. S. A. Dyachenko and Vera Mikyoung Hur,
Stokes Waves with Vorticity II: Folds and Gaps , in preparation (2018)
13. A. I. Dyachenko, S. A. Dyachenko, P. M. Lushnikov, V. E. Zakharov,
Dynamics of Poles in 2D Hydrodynamics with Free Surface: New Constants of Motion,
submitted to JFM (2018), arXiv link
12. S. A. Dyachenko,
On the dynamics of a free surface of an ideal fluid in a bounded domain in the presence of surface tension,
J. Fluid Mech (2019), vol. 860, pp. 408418 PDF
11. S. A. Dyachenko and Vera Mikyoung Hur,
Stokes Waves with Vorticity I: Numerical Computation.,
Accepted to SAPM(2018) arXiv link
10. P. M. Lushnikov, S. A. Dyachenko, D. A. Silantyev,
New Conformal Maping for Adaptive Resolving of the Complex Singularities of Stokes Wave,
Proc. Roy. Soc. A (2017), Link to paper
9. S. Dyachenko, A. Zlotnik, A., Korotkevich, M. Chertkov,
Operator Splitting Method for Dynamic Simulations of Flows in Natural Gas Transport Networks , Physica D (2017)
8. S.A. Dyachenko, D.V. Zakharov, V.E. Zakharov,
Primitive potentials and bounded solutions of the KdV equation , Physica D (2016)
7. D.V. Zakharov, S.A. Dyachenko, V.E. Zakharov,
Bounded solutions of KdV and nonperiodic onegap potentials in quantum mechanics , Lett. Math. Phys. (2016)
6. D.V. Zakharov, V.E. Zakharov, S.A. Dyachenko,
Nonperiodic onedimensional ideal conductors and integrable turbulence , Physics Letters A (2016)
5. S.A. Dyachenko, A.C. Newell,
Whitecapping , Stud. in Appl. Math (2016)
4. S.A. Dyachenko, P.M. Lushnikov, A.O. Korotkevich,
Branch cuts of Stokes wave on deep water. Part I: Numerical solution and Pade approximation,, Stud. in Appl. Math (2016)
3. S.A. Dyachenko, P.M. Lushnikov, A.O. Korotkevich,
Complex Singularity of a Stokes wave,, JETP Letters (2013)
2. P.M. Lushnikov, S.A. Dyachenko and N. Vladimirova
Beyond leadingorder logarithmic scaling in the catastrophic selffocusing of a laser beam in Kerr media,, Phys Rev A (2013)
1. S.A. Dyachenko, P.M. Lushnikov and N. Vladimirova
Logarithmic scaling of the collapse in the critical KellerSegel equation, Nonlinearity (2013)


Partial Differential Equations

Partial Differential Equations

Numerical Analysis I

Partial Differential Equations and Waves

Vector Calculus and Complex Variables

Intro to PDE

Intro to PDE

Applied Linear Algebra

Differential Equations

Intro to PDE

Intro to Differential Equations Plus

Linear Algebra (U of A)


University of New Mexico
Graduation: 18 August 2014
Academic Advisors: Prof. Pavel M. Lushnikov and Prof. Alexander O. Korotkevich
Topic: Strongly nonlinear phenomena and singularities in optical, hydrodynamic and biological systems

University of New Mexico,
Albuquerque, USA,
MA: December 2010
Moscow Institute of Physics and Technology,
Dolgoprudny, Moscow region,
BS: June 2007


Math Bldg 312

sergeydy@buffalo.edu

Sergey A. Dyachenko
Department of Mathematics,
312 Math Bldg, Buffalo, NY

