Denis A. Silantyev

activity

20132024

most citedAdjoint DSMC for nonlinear Boltzmann equation constrained optimization

25 citations · 81 across the 9 of their papers we have counts for

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2 papers · 1 filter

math.AP2024★ 1 cited

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 $- Λ^{σ}$ , where its spatial Fourier transform…

math.AP2022

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 $- Λ^{σ}$ , where $\widehat {…