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Sergey A. Dyachenko
Researcher at University of Washington
Publications - 41
Citations - 947
Sergey A. Dyachenko is an academic researcher from University of Washington. The author has contributed to research in topics: Stokes wave & Conformal map. The author has an hindex of 14, co-authored 35 publications receiving 797 citations. Previous affiliations of Sergey A. Dyachenko include University of Illinois at Urbana–Champaign & University of Arizona.
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Journal ArticleDOI
Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schro¨dinger equation
TL;DR: In this paper, it was shown that the nonlinear Schrodinger (NLS) equation is a combination of weak turbulence theory and condensate and collapse formation, and that the number of particles lost in an individual collapse event is virtually independent of damping.
Journal ArticleDOI
Branch Cuts of Stokes Wave on Deep Water. Part I: Numerical Solution and Padé Approximation
Sergey A. Dyachenko,Sergey A. Dyachenko,Pavel M. Lushnikov,Pavel M. Lushnikov,A. O. Korotkevich,A. O. Korotkevich +5 more
TL;DR: In this article, complex analytical structure of Stokes wave for two-dimensional potential flow of the ideal incompressible fluid with free surface and infinite depth is analyzed and a conformal map is used to map a free fluid surface of the stokes wave into the real line with fluid domain mapped into the lower complex half-plane.
Journal ArticleDOI
Complex Singularity of a Stokes Wave
Sergey A. Dyachenko,Pavel M. Lushnikov,Pavel M. Lushnikov,A. O. Korotkevich,A. O. Korotkevich +4 more
TL;DR: In this article, a power law for the Stokes wave in the lower half-plane of the ideal incompressible fluid with free surface and infinite depth was proposed, where the wave height is scaled from the linear limit H/λ = 0 to the critical value H /λ ≈ 0.1410633.
Proceedings ArticleDOI
Model Reduction and Optimization of Natural Gas Pipeline Dynamics
TL;DR: In this article, the authors derived a reduced control system model for the dynamics of compressible gas flow through a pipeline subject to distributed time-varying injections, withdrawals, and control actions of compressors.
Journal ArticleDOI
The complex singularity of a Stokes wave
Sergey A. Dyachenko,Pavel M. Lushnikov,Pavel M. Lushnikov,A. O. Korotkevich,A. O. Korotkevich +4 more
TL;DR: In this article, the Stokes wave is the fully nonlinear gravity wave propagating with the constant velocity in the lower half-plane of the ideal incompressible fluid with free surface and infinite depth, and it can be described by a conformal map of the fluid domain into the complex lower halfplane.