| New conformal mapping for adaptive resolving of the complex singularities of Stokes wave PM Lushnikov, SA Dyachenko, D A. Silantyev Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2017 | 39 | 2017 |
| Adjoint DSMC for nonlinear Boltzmann equation constrained optimization R Caflisch, D Silantyev, Y Yang Journal of Computational Physics 439, 110404, 2021 | 21 | 2021 |
| Collapse versus blow-up and global existence in the generalized Constantin–Lax–Majda equation PM Lushnikov, DA Silantyev, M Siegel Journal of Nonlinear Science 31 (5), 82, 2021 | 17 | 2021 |
| Langmuir wave filamentation in the kinetic regime. I. Filamentation instability of Bernstein-Greene-Kruskal modes in multidimensional Vlasov simulations DA Silantyev, PM Lushnikov, HA Rose Physics of Plasmas 24 (4), 2017 | 15 | 2017 |
| Langmuir wave filamentation in the kinetic regime. II. Weak and strong pumping of nonlinear electron plasma waves as the route to filamentation DA Silantyev, PM Lushnikov, HA Rose Physics of Plasmas 24 (4), 2017 | 10 | 2017 |
| Almost extreme waves SA Dyachenko, VM Hur, DA Silantyev Journal of Fluid Mechanics 955, A17, 2023 | 8 | 2023 |
| Adjoint DSMC for nonlinear spatially-homogeneous Boltzmann equation with a general collision model Y Yang, D Silantyev, R Caflisch Journal of Computational Physics 488, 112247, 2023 | 7 | 2023 |
| Global existence and singularity formation for the generalized Constantin–Lax–Majda equation with dissipation: the real line vs. periodic domains DM Ambrose, PM Lushnikov, M Siegel, DA Silantyev Nonlinearity 37 (2), 025004, 2023 | 3 | 2023 |
| Vlasov multi-dimensional model dispersion relation PM Lushnikov, HA Rose, DA Silantyev, N Vladimirova Physics of Plasmas 21 (7), 2014 | 3 | 2014 |
| Exact periodic solutions of the generalized Constantin-Lax-Majda equation with dissipation DA Silantyev, PM Lushnikov, M Siegel, DM Ambrose arXiv preprint arXiv:2411.01891, 2024 | | 2024 |
| Nonlinear Waves, Instabilities and Singularities in Plasma and Hydrodynamics DA Silantyev The University of New Mexico, 2017 | | 2017 |
| Exact pole dynamics solutions to the generalized Constantin-Lax-Majda equation with dissipation M Siegel, DM Ambrose, PM Lushnikov, D Silantyev 2025 Joint Mathematics Meetings (JMM 2025), 0 | | |
| Finite-time singularity formation in the generalized Constantin-Lax-Majda equation M Siegel, P Lushnikov, D Silantyev 2021 Fall Central Sectional Meeting, 0 | | |
| Nonlinear eigenvalue problem for collapse in the Generalized Constantin-Lax-Majda Equation with and without dissipation DM Ambrose, PM Lushnikov, M Siegel, D Silantyev 2024 Joint Mathematics Meetings (JMM 2024), 0 | | |
| Exact Solutions of the Generalized Constantin-Lax-Majda Equation with Dissipation D Silantyev 2023 Fall Eastern Sectional Meeting, 0 | | |
| Finite-time singularity formation in the generalized Constantin-Lax-Majda equation with dissipation M Siegel, DM Ambrose, PM Lushnikov, D Silantyev 2023 Fall Central Sectional Meeting, 0 | | |
| Obtaining Stokes waves with high-precision using conformal maps and spectral methods on non-uniform grids D Silantyev 2024 Joint Mathematics Meetings (JMM 2024), 0 | | |
Pavel M. LushnikovUniversity of New MexicoVerified email at math.unm.edu
