25 citations · 81 across the 9 of their papers we have counts for
9 papers
Exact periodic solutions of the generalized Constantin-Lax-Majda equation with dissipation
Denis A. Silantyev, Pavel M. Lushnikov, Michael Siegel +1
We present exact pole dynamics solutions to the generalized Constantin-Lax-Majda (gCLM) equation in a periodic geometry with dissipation , where its spatial Fourier transform…
Almost extreme waves
Sergey A. Dyachenko, Vera Mikyoung Hur, Denis A. Silantyev
Numerically computed with high accuracy are periodic traveling waves at the free surface of a two dimensional, infinitely deep, and constant vorticity flow of an incompressible inv…
Adjoint DSMC for Nonlinear Spatially-Homogeneous Boltzmann Equation With a General Collision Model
Yunan Yang, Denis Silantyev, Russel Caflisch
We derive an adjoint method for the Direct Simulation Monte Carlo (DSMC) method for the spatially homogeneous Boltzmann equation with a general collision law. This generalizes our…
Global existence and singularity formation for the generalized Constantin-Lax-Majda equation with dissipation: The real line vs. periodic domains
David M. Ambrose, Pavel M. Lushnikov, Michael Siegel +1
The question of global existence versus finite-time singularity formation is considered for the generalized Constantin-Lax-Majda equation with dissipation , where $\widehat {…
Collapse vs. blow up and global existence in the generalized Constantin-Lax-Majda equation
Pavel M. Lushnikov, Denis A. Silantyev, Michael Siegel
The question of finite time singularity formation vs. global existence for solutions to the generalized Constantin-Lax-Majda equation is studied, with particular emphasis on the in…
Adjoint DSMC for nonlinear Boltzmann equation constrained optimization
Russel Caflisch, Denis Silantyev, Yunan Yang
Applications for kinetic equations such as optimal design and inverse problems often involve finding unknown parameters through gradient-based optimization algorithms. Based on the…
Langmuir wave filamentation in the kinetic regime. II. Weak and Strong Pumping of Nonlinear Electron Plasma Waves as the Route to Filamentation
Denis A. Silantyev, Pavel M. Lushnikov, Harvey A. Rose
We consider two kinds of pumped Langmuir waves (LWs) in the kinetic regime, where is the LW wavenumber and is the Debye length. They are driven to finit…
Langmuir wave filamentation in the kinetic regime. I. Filamentation instability of Bernstein-Greene-Kruskal modes in multidimensional Vlasov simulations
Denis A. Silantyev, Pavel M. Lushnikov, Harvey A. Rose
A nonlinear Langmuir wave in the kinetic regime may have a filamentation instability, where is the wavenumber and is the Debye length. The nonlinear stag…
Vlasov multi-dimensional model dispersion relation
Pavel M. Lushnikov, Harey A. Rose, Denis A. Silantyev +1
A hybrid model of the Vlasov equation in multiple spatial dimension [H. A. Rose and W. Daughton, Physics of Plasmas v. 18, 122109 (2011)], the Vlasov multi dimensional model…