Edit Profile (opens in new tab) Lushnikov, Pavel Mikhaĭlovich Compute Distance To: Compute Author ID: lushnikov.pavel-mikhailovich Published as: Lushnikov, Pavel M.; Lushnikov, P. M. Further Spellings: Павел Михайлович Лушников Homepage: https://math.unm.edu/~plushnik/ External Links: MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru Documents Indexed: 14 Publications since 2004 Co-Authors: 12 Co-Authors with 11 Joint Publications 205 Co-Co-Authors all top 5 Co-Authors 3 single-authored 5 Dyachenko, Sergey A. 4 Zakharov, Vladimir Evgen’evich 2 Dejak, Steven I. 2 D’yachenko, Aleksandr Ivanovich 2 Korotkevich, Aleksandr Olegovich 2 Sigal, Israel Michael 2 Silantyev, Denis A. 1 Egli, Daniel 1 Ovchinnikov, Yuriĭ Nikolaevich 1 Semenova, Anastassiya 1 Siegel, Michael 1 Vladimirova, Natalia all top 5 Serials 3 Journal of Fluid Mechanics 2 Physics Letters. A 2 Physica D 1 Journal of Computational Physics 1 Nonlinearity 1 Studies in Applied Mathematics 1 Journal of Nonlinear Science 1 St. Petersburg Mathematical Journal 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Water Waves all top 5 Fields 10 Fluid mechanics (76-XX) 9 Partial differential equations (35-XX) 4 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 12 Publications have been cited 79 times in 40 Documents Cited by ▼ Year ▼ Branch cuts of Stokes wave on deep water. I: Numerical solution and Padé approximation. Zbl 1356.35166Dyachenko, S. A.; Lushnikov, P. M.; Korotkevich, A. O. 17 2016 New conformal mapping for adaptive resolving of the complex singularities of Stokes wave. Zbl 1402.76027Lushnikov, Pavel M.; Dyachenko, Sergey A.; Silantyev, Denis A. 13 2017 Structure and location of branch point singularities for Stokes waves on deep water. Zbl 1445.76024Lushnikov, Pavel M. 10 2016 Critical chemotactic collapse. Zbl 1236.92014Lushnikov, Pavel M. 8 2010 Non-canonical Hamiltonian structure and Poisson bracket for two-dimensional hydrodynamics with free surface. Zbl 1415.76050Dyachenko, A. I.; Lushnikov, P. M.; Zakharov, V. E. 7 2019 Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion. Zbl 1419.76065Dyachenko, A. I.; Dyachenko, S. A.; Lushnikov, P. M.; Zakharov, V. E. 6 2019 Logarithmic scaling of the collapse in the critical Keller-Segel equation. Zbl 1278.35029Dyachenko, Sergey A.; Lushnikov, Pavel M.; Vladimirova, Natalia 5 2013 Exactly integrable dynamics of interface between ideal fluid and light viscous fluid. Zbl 1209.37103Lushnikov, Pavel M. 4 2004 On blowup dynamics in the Keller-Segel model of chemotaxis. Zbl 1326.35049Dejak, S. I.; Egli, D.; Lushnikov, P. M.; Sigal, I. M. 3 2014 On spectra of linearized operators for Keller-Segel models of chemotaxis. Zbl 1253.92008Dejak, S. I.; Lushnikov, P. M.; Ovchinnikov, Yu. N.; Sigal, I. M. 3 2012 On optimal canonical variables in the theory of ideal fluid with free surface. Zbl 1070.35035Lushnikov, Pavel M.; Zakharov, Vladimir E. 2 2005 Collapse versus blow-up and global existence in the generalized Constantin-Lax-Majda equation. Zbl 1479.35684Lushnikov, Pavel M.; Silantyev, Denis A.; Siegel, Michael 1 2021 Collapse versus blow-up and global existence in the generalized Constantin-Lax-Majda equation. Zbl 1479.35684Lushnikov, Pavel M.; Silantyev, Denis A.; Siegel, Michael 1 2021 Non-canonical Hamiltonian structure and Poisson bracket for two-dimensional hydrodynamics with free surface. Zbl 1415.76050Dyachenko, A. I.; Lushnikov, P. M.; Zakharov, V. E. 7 2019 Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion. Zbl 1419.76065Dyachenko, A. I.; Dyachenko, S. A.; Lushnikov, P. M.; Zakharov, V. E. 6 2019 New conformal mapping for adaptive resolving of the complex singularities of Stokes wave. Zbl 1402.76027Lushnikov, Pavel M.; Dyachenko, Sergey A.; Silantyev, Denis A. 13 2017 Branch cuts of Stokes wave on deep water. I: Numerical solution and Padé approximation. Zbl 1356.35166Dyachenko, S. A.; Lushnikov, P. M.; Korotkevich, A. O. 17 2016 Structure and location of branch point singularities for Stokes waves on deep water. Zbl 1445.76024Lushnikov, Pavel M. 10 2016 On blowup dynamics in the Keller-Segel model of chemotaxis. Zbl 1326.35049Dejak, S. I.; Egli, D.; Lushnikov, P. M.; Sigal, I. M. 3 2014 Logarithmic scaling of the collapse in the critical Keller-Segel equation. Zbl 1278.35029Dyachenko, Sergey A.; Lushnikov, Pavel M.; Vladimirova, Natalia 5 2013 On spectra of linearized operators for Keller-Segel models of chemotaxis. Zbl 1253.92008Dejak, S. I.; Lushnikov, P. M.; Ovchinnikov, Yu. N.; Sigal, I. M. 3 2012 Critical chemotactic collapse. Zbl 1236.92014Lushnikov, Pavel M. 8 2010 On optimal canonical variables in the theory of ideal fluid with free surface. Zbl 1070.35035Lushnikov, Pavel M.; Zakharov, Vladimir E. 2 2005 Exactly integrable dynamics of interface between ideal fluid and light viscous fluid. Zbl 1209.37103Lushnikov, Pavel M. 4 2004 all cited Publications top 5 cited Publications all top 5 Cited by 61 Authors 10 Lushnikov, Pavel Mikhaĭlovich 7 Dyachenko, Sergey A. 6 Zakharov, Vladimir Evgen’evich 3 D’yachenko, Aleksandr Ivanovich 3 Hur, Vera Mikyoung 3 Karabut, E. A. 3 Zhuravleva, E. N. 2 Bertozzi, Andrea Louise 2 Dejak, Steven I. 2 Korotkevich, Aleksandr Olegovich 2 López, José Luis 2 Sigal, Israel Michael 2 Silantyev, Denis A. 2 Wilkening, Jon A. 2 Zhao, Xinyu 2 Zubarev, Nikolay M. 1 Afendikova, N. G. 1 Alejo, Miguel A. 1 Aptekarev, Alexander Ivanovich 1 Badulin, Sergei Ilyich 1 Blanchet, Adrien 1 Cao, Jinde 1 Chavanis, Pierre-Henri 1 Choi, Wooyoung 1 Collot, Charles 1 Crew, Samuel C. 1 Egli, Daniel 1 Gandzha, Ivan S. 1 García-Juárez, Eduardo 1 Ghoul, Tej-Eddine 1 Gómez-Serrano, Javier 1 Guo, Zhenyuan 1 Gurkan, Zeynep Nilhan 1 Haziot, Susanna V. 1 Huang, Lihong 1 Liu, Jianguo 1 Mannella, Riccardo 1 Masmoudi, Nader 1 Murashige, Sunao 1 Newell, Alan C. 1 Nguyen, Huy Quang 1 Nguyen, Van Tien 1 Ovchinnikov, Yuriĭ Nikolaevich 1 Pashaev, Oktay K. 1 Pausader, Benoît 1 Pego, Robert L. 1 Raphael, Pierre 1 Schweyer, Rémi 1 Sedletsky, Yuri V. 1 Siegel, Michael 1 Strauss, Walter Alexander 1 Sun, Hui 1 Toland, John Francis 1 Trinh, Philippe H. 1 Uminsky, David T. 1 Wahlén, Erik 1 Walsh, Samuel 1 Wang, Zengyun 1 Wheeler, Miles H. 1 Yao, Yao 1 Zubareva, Olga V. all top 5 Cited in 22 Serials 9 Journal of Fluid Mechanics 5 Physica D 3 Theoretical and Mathematical Physics 2 Studies in Applied Mathematics 2 Journal of Nonlinear Science 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Physics 1 Physics Letters. A 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Mathematische Annalen 1 Quarterly of Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 European Journal of Applied Mathematics 1 St. Petersburg Mathematical Journal 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Dynamics 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Annals of PDE 1 Séminaire Laurent Schwartz. EDP et Applications 1 Mechanics of Solids 1 Water Waves all top 5 Cited in 12 Fields 27 Fluid mechanics (76-XX) 21 Partial differential equations (35-XX) 9 Biology and other natural sciences (92-XX) 3 Numerical analysis (65-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.