Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Silantyev, Denis"'
We present exact pole dynamics solutions to the generalized Constantin-Lax-Majda (gCLM) equation in a periodic geometry with dissipation $-\Lambda^\sigma$, where its spatial Fourier transform is $\widehat{\Lambda^\sigma}=|k|^\sigma$. The gCLM equatio
Externí odkaz:
http://arxiv.org/abs/2411.01891
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 inviscid fluid, under gravity, without the effects of surface tension. Of
Externí odkaz:
http://arxiv.org/abs/2211.02875
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 previous results in [Caflisch, R., Silantyev, D. and Yang, Y., 2021. J
Externí odkaz:
http://arxiv.org/abs/2207.11579
The question of global existence versus finite-time singularity formation is considered for the generalized Constantin-Lax-Majda equation with dissipation $-\Lambda^\sigma$, where $\widehat {{\Lambda}^\sigma}=|k|^\sigma$, both for the problem on the
Externí odkaz:
http://arxiv.org/abs/2207.07548
Publikováno v:
Journal of Nonlinear Science, v. 31, 82 (2021)
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 influence of a parameter $a$ which controls the strength of advection. F
Externí odkaz:
http://arxiv.org/abs/2010.01201
Publikováno v:
Journal of Computational Physics, 2021, 110404, ISSN 0021-9991. (https://www.sciencedirect.com/science/article/pii/S0021999121002990)
Applications for kinetic equations such as optimal design and inverse problems often involve finding unknown parameters through gradient-based optimization algorithms. Based on the adjoint-state method, we derive two different frameworks for approxim
Externí odkaz:
http://arxiv.org/abs/2009.01363
Publikováno v:
In Journal of Computational Physics 1 September 2023 488
Publikováno v:
Proc. Roy. Soc. A, v. 473, 20170198 (2017)
A new highly efficient method is developed for computation of traveling periodic waves (Stokes waves) on the free surface of deep water. A convergence of numerical approximation is determined by the complex singularites above the free surface for the
Externí odkaz:
http://arxiv.org/abs/1703.06343
We consider two kinds of pumped Langmuir waves (LWs) in the kinetic regime, $k\lambda_D\gtrsim0.2,$ where $k$ is the LW wavenumber and $\lambda_D$ is the Debye length. They are driven to finite amplitude by a coherent external potential whose amplitu
Externí odkaz:
http://arxiv.org/abs/1610.10071
A nonlinear Langmuir wave in the kinetic regime $k\lambda_D\gtrsim0.2$ may have a filamentation instability, where $k$ is the wavenumber and $\lambda_D$ is the Debye length. The nonlinear stage of that instability develops into the filamentation of L
Externí odkaz:
http://arxiv.org/abs/1610.06137