Edit Profile (opens in new tab) Arsen’ev, Alekseĭ Alekseevich Co-Author Distance Author ID: arsenev.a-a Published as: Arsen’ev, A. A.; Arseniev, A. A. External Links: Math-Net.Ru Documents Indexed: 119 Publications since 1964, including 3 Books Biographic References: 2 Publications Co-Authors: 17 Co-Authors with 12 Joint Publications 1,064 Co-Co-Authors all top 5 Co-Authors 106 single-authored 7 Il’in, Vladimir Aleksandrovich 6 Tikhonov, Andreĭ Nikolaevich 4 Sveshnikov, Alekseĭ Georgievich 3 Bitsadze, Andreĭ Vasil’evich 2 Buryak, O. E. 2 Emel’yanov, Stanislav Vasil’evich 2 Kurdyumov, Sergeĭ Pavlovich 2 Peskov, N. V. 1 Abrashin, Vyacheslav Nikolaevich 1 Erugin, Nikolaĭ Pavlovich 1 Gaĭshun, Ivan Vasil’evich 1 Gulin, Alexei V. 1 Kostomarov, Dmitrii Pavlovich 1 Osipov, Yuriĭ Sergeevich 1 Popov, Yurii P. 1 Sadovnichiĭ, Viktor Antonovich 1 Samarskiĭ, Aleksandr Andreevich all top 5 Serials 17 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 16 Soviet Mathematics. Doklady 15 U.S.S.R. Computational Mathematics and Mathematical Physics 11 Theoretical and Mathematical Physics 10 Differential Equations 10 Matematicheskoe Modelirovanie 8 Sbornik: Mathematics 6 Differentsial’nye Uravneniya 5 Mathematics of the USSR, Sbornik 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Computational Mathematics and Mathematical Physics 2 Physics-Doklady 2 Differential Equations 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Soviet Physics. Doklady 1 Matematicheskiĭ Sbornik 1 Mathematical Modeling and Computational Experiment all top 5 Fields 66 Partial differential equations (35-XX) 28 Quantum theory (81-XX) 15 Fluid mechanics (76-XX) 13 Operator theory (47-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Numerical analysis (65-XX) 7 Measure and integration (28-XX) 6 History and biography (01-XX) 6 Optics, electromagnetic theory (78-XX) 5 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 133 times in 123 Documents Cited by ▼ Year ▼ On the connection between a solution of the Boltzmann equation and a solution of the Landau-Fokker-Planck equation. Zbl 0724.35090 Arsen’ev, A. A.; Buryak, O. E. 39 1991 Existenz einer schwachen Lösung eines Systems Vlasovscher Gleichungen im Ganzen. Zbl 0317.35032 Arsen’ev, A. A. 13 1975 On the existence of generalized solution of Landau equation. Zbl 0355.35074 Arsen’ev, A. A.; Peskov, N. V. 13 1977 The existence of resonance poles and scattering resonances in the case of boundary conditions of the second and third kind. Zbl 0352.35039 Arsen’ev, A. A. 9 1977 On a connection between the solution of the Boltzmann equation and the solution of the Landau-Fokker-Planck equation. Zbl 0713.35075 Arsen’ev, A. A.; Buryak, O. E. 6 1990 Existence and uniqueness of the classical solution of Vlasov’s system of equations. Zbl 0345.35083 Arsen’ev, A. A. 5 1975 On the approximation of the solution of the Boltzmann equation by solutions of the Ito stochastic differential equations. Zbl 0664.76104 Arsen’ev, A. A. 4 1987 The Cauchy problem for the linearized Boltzmann equation. Zbl 0157.57601 Arsen’ev, A. A. 4 1968 Lectures on kinetic equations. (Лекции о кинетических уравнениях.) Zbl 0772.76063 Arsen’ev, A. A. 4 1992 On the existence of a generalized solution of Landau’s equation. Zbl 0383.35064 Arsen’ev, A. A.; Peskov, N. V. 4 1978 Construction of a turbulent measure for the system of Navier-Stokes equations. Zbl 0351.76057 Arsen’ev, A. A. 3 1975 Approximation of the Boltzmann equation by stochastic equations. Zbl 0648.65082 Arsen’ev, A. A. 2 1988 On the existence of statistical solutions of the Vlasov system of equations. Zbl 0342.35050 Arsen’ev, A. A. 2 1975 Resonance scattering in quantum wave guides. Zbl 1062.81145 Arsen’ev, A. A. 2 2003 On the singularities of the analytic continuation and the resonance properties of a solution of the dispersion problem for the Helmholtz equation. Zbl 0222.35049 Arsen’ev, A. A. 2 1971 Über die Singularitäten der analytischen Fortsetzung und die Resonanzeigenschaften der Lösung des Streuungsproblems für die Helmholtzsche Gleichung. Zbl 0265.35058 Arsen’ev, A. A. 2 1973 Global existence of a weak solution of Vlasov’s system of equations. Zbl 0302.35009 Arsen’ev, A. A. 2 1973 Local uniqueness and existence of a classical solution of Vlasov’s system of equations. Zbl 0311.76036 Arsen’ev, A. A. 2 1974 Über die Existenz verallgemeinerter und stationärer statistischer Lösungen eines Systems Vlasovscher Gleichungen in einem beschränkten Gebiet. Zbl 0408.35064 Arsen’ev, A. A. 2 1979 Approximation of the Boltzmann equation by stochastic equations. Zbl 0671.65097 Arsen’ev, A. A. 1 1988 On invariant measures for classical dynamical systems with infinite- dimensional phase space. Zbl 0542.58007 Arsen’ev, A. A. 1 1984 Resonances and tunneling in a quantum wire. Zbl 1177.81032 Arseniev, A. A. 1 2006 Relation between a pole of the scattering matrix and the transmission and reflection coefficients in scattering in a quantum waveguide. Zbl 1178.78009 Arsen’ev, A. A. 1 2004 Mathematical model of resonances and tunneling in a system with a bound state. Zbl 1178.81268 Arsen’ev, A. A. 1 2003 Resonances and tunneling in the tight-binding approximation to scattering in a quantum billiard. Zbl 1178.81275 Arseniev, A. A. 1 2004 On resonance properties of scattering amplitude for Schrödinger equation with trapping potential. Zbl 0856.35104 Arsen’ev, A. A. 1 1995 Scattering matrix resonances and quasi-levels. Zbl 0887.47010 Arsen’ev, A. A. 1 1996 On the existence of resonance poles and resonances in scattering in the case of boundary conditions of the second and third kind. Zbl 0312.35059 Arsen’ev, A. A. 1 1974 Über die Existenz von Resonanzpolen und Resonanzen bei Streuung im Fall von Randbedingungen zweiter und dritter Art. Zbl 0329.35020 Arsen’ev, A. A. 1 1976 On the existence of stochastic and statistic solutions for non-linear equations. Zbl 0409.35083 Arsen’ev, A. A. 1 1977 The existence of generalized and stationary statistical solutions of a system of Vlasov equations in a bounded region. Zbl 0431.35088 Arsen’ev, A. A. 1 1980 On statistical solutions of the Navier-Stokes system of equations. Zbl 0451.35047 Arsen’ev, A. A. 1 1981 Resonances and tunneling in a quantum wire. Zbl 1177.81032 Arseniev, A. A. 1 2006 Relation between a pole of the scattering matrix and the transmission and reflection coefficients in scattering in a quantum waveguide. Zbl 1178.78009 Arsen’ev, A. A. 1 2004 Resonances and tunneling in the tight-binding approximation to scattering in a quantum billiard. Zbl 1178.81275 Arseniev, A. A. 1 2004 Resonance scattering in quantum wave guides. Zbl 1062.81145 Arsen’ev, A. A. 2 2003 Mathematical model of resonances and tunneling in a system with a bound state. Zbl 1178.81268 Arsen’ev, A. A. 1 2003 Scattering matrix resonances and quasi-levels. Zbl 0887.47010 Arsen’ev, A. A. 1 1996 On resonance properties of scattering amplitude for Schrödinger equation with trapping potential. Zbl 0856.35104 Arsen’ev, A. A. 1 1995 Lectures on kinetic equations. (Лекции о кинетических уравнениях.) Zbl 0772.76063 Arsen’ev, A. A. 4 1992 On the connection between a solution of the Boltzmann equation and a solution of the Landau-Fokker-Planck equation. Zbl 0724.35090 Arsen’ev, A. A.; Buryak, O. E. 39 1991 On a connection between the solution of the Boltzmann equation and the solution of the Landau-Fokker-Planck equation. Zbl 0713.35075 Arsen’ev, A. A.; Buryak, O. E. 6 1990 Approximation of the Boltzmann equation by stochastic equations. Zbl 0648.65082 Arsen’ev, A. A. 2 1988 Approximation of the Boltzmann equation by stochastic equations. Zbl 0671.65097 Arsen’ev, A. A. 1 1988 On the approximation of the solution of the Boltzmann equation by solutions of the Ito stochastic differential equations. Zbl 0664.76104 Arsen’ev, A. A. 4 1987 On invariant measures for classical dynamical systems with infinite- dimensional phase space. Zbl 0542.58007 Arsen’ev, A. A. 1 1984 On statistical solutions of the Navier-Stokes system of equations. Zbl 0451.35047 Arsen’ev, A. A. 1 1981 The existence of generalized and stationary statistical solutions of a system of Vlasov equations in a bounded region. Zbl 0431.35088 Arsen’ev, A. A. 1 1980 Über die Existenz verallgemeinerter und stationärer statistischer Lösungen eines Systems Vlasovscher Gleichungen in einem beschränkten Gebiet. Zbl 0408.35064 Arsen’ev, A. A. 2 1979 On the existence of a generalized solution of Landau’s equation. Zbl 0383.35064 Arsen’ev, A. A.; Peskov, N. V. 4 1978 On the existence of generalized solution of Landau equation. Zbl 0355.35074 Arsen’ev, A. A.; Peskov, N. V. 13 1977 The existence of resonance poles and scattering resonances in the case of boundary conditions of the second and third kind. Zbl 0352.35039 Arsen’ev, A. A. 9 1977 On the existence of stochastic and statistic solutions for non-linear equations. Zbl 0409.35083 Arsen’ev, A. A. 1 1977 Über die Existenz von Resonanzpolen und Resonanzen bei Streuung im Fall von Randbedingungen zweiter und dritter Art. Zbl 0329.35020 Arsen’ev, A. A. 1 1976 Existenz einer schwachen Lösung eines Systems Vlasovscher Gleichungen im Ganzen. Zbl 0317.35032 Arsen’ev, A. A. 13 1975 Existence and uniqueness of the classical solution of Vlasov’s system of equations. Zbl 0345.35083 Arsen’ev, A. A. 5 1975 Construction of a turbulent measure for the system of Navier-Stokes equations. Zbl 0351.76057 Arsen’ev, A. A. 3 1975 On the existence of statistical solutions of the Vlasov system of equations. Zbl 0342.35050 Arsen’ev, A. A. 2 1975 Local uniqueness and existence of a classical solution of Vlasov’s system of equations. Zbl 0311.76036 Arsen’ev, A. A. 2 1974 On the existence of resonance poles and resonances in scattering in the case of boundary conditions of the second and third kind. Zbl 0312.35059 Arsen’ev, A. A. 1 1974 Über die Singularitäten der analytischen Fortsetzung und die Resonanzeigenschaften der Lösung des Streuungsproblems für die Helmholtzsche Gleichung. Zbl 0265.35058 Arsen’ev, A. A. 2 1973 Global existence of a weak solution of Vlasov’s system of equations. Zbl 0302.35009 Arsen’ev, A. A. 2 1973 On the singularities of the analytic continuation and the resonance properties of a solution of the dispersion problem for the Helmholtz equation. Zbl 0222.35049 Arsen’ev, A. A. 2 1971 The Cauchy problem for the linearized Boltzmann equation. Zbl 0157.57601 Arsen’ev, A. A. 4 1968 all cited Publications top 5 cited Publications all top 5 Cited by 147 Authors 9 Nazarov, Sergeĭ Aleksandrovich 4 Desvillettes, Laurent 4 He, Lingbing 4 Iacobelli, Mikaela 4 Lei, Yuanjie 4 Skubachevskiĭ, Aleksandr Leonidovich 4 Strain, Robert M. 3 Arsen’ev, Alekseĭ Alekseevich 3 Bogomolov, S. V. 3 Carrapatoso, Kleber 3 Lemou, Mohammed 3 Villani, Cédric 3 Wagner, Wolfgang 3 Yu, Hongjun 3 Zhang, Xianwen 2 Asadzadeh, Mohammad Sina 2 Badsi, Mehdi 2 Bakharev, Fedor L’vovich 2 Bobylev, Alexandre Vasiljévitch 2 Buet, Christophe 2 Chae, Dongho 2 Chen, Yemin 2 Chesnel, Lucas 2 Cordier, Stéphane 2 Filbet, Francis 2 Fournier, Nicolas 2 Gadyl’shin, Rustem R. 2 Gualdani, Maria Pia 2 Guérin, Hélène 2 Illner, Reinhard 2 Liu, Shuangqian 2 Meng, Fei 2 Mouhot, Clément 2 Pareschi, Lorenzo 2 Snelson, Stanley 2 Stepin, Stanislav A. 2 Toscani, Giuseppe 2 Wick, Joachim 2 Wu, Jingpeng 2 Zhan, Mei-Qin 2 Zhidkov, Peter E. 1 Akhmetov, O. I. 1 Alexandre, Radjesvarane 1 Asano, Kiyoshi 1 Beals, Richard W. 1 Bedrossian, Jacob 1 Bonnet-Ben Dhia, Anne-Sophie 1 Brigouleix, Nicolas 1 Bronzi, Anne C. 1 Campos Pinto, Martin 1 Cancedda, Andrea 1 Carrillo de la Plata, José Antonio 1 Cesbron, Ludovic 1 Chacón, Luis 1 Chae, Myeongju 1 Chechkin, Gregory Aleksandrovich 1 Chiadò Piat, Valeria 1 Codispoti, A. 1 Crouseilles, Nicolas 1 Degond, Pierre 1 Delgadino, Matias Gonzalo 1 Delitsyn, Andrey L. 1 Després, Bruno 1 Egorov, S. M. 1 Elsafadi, Mouhamad 1 Esikova, N. B. 1 Fan, Yingzhe 1 Fedorenko, Yulia V. 1 Foursikov, A. V. 1 Frénod, Emmanuel 1 Giorgi, Pierre-Antoine 1 Godard-Cadillac, Ludovic 1 Grebenkov, Denis S. 1 Griffin-Pickering, Megan 1 Guo, Yan 1 Han-Kwan, Daniel 1 He, Cong 1 Henderson, Christopher 1 Heydecker, Daniel 1 Horst, Ernst 1 Hwang, Hyung Ju 1 Jang, Juhi 1 Jin, Shi 1 Jin, Zhengmeng 1 Kaßmann, Moritz 1 Khruslov, Eugene Yakovlevich 1 Kirchhart, Matthias 1 Krieger, Joachim 1 Lachowicz, Mirosław 1 Le Bihan, Corentin 1 Lee, Jaeyong 1 Li, Fucai 1 Li, Ruo 1 Liao, Jie 1 Lin, Chunjin 1 Liu, Fang 1 Lucquin-Desreux, Brigitte 1 Luk, Jonathan 1 Luo, Lan 1 Ma, Xuan ...and 47 more Authors all top 5 Cited in 60 Serials 10 Journal of Computational Physics 6 Archive for Rational Mechanics and Analysis 6 Journal of Mathematical Analysis and Applications 6 Kinetic and Related Models 5 Journal of Statistical Physics 5 Theoretical and Mathematical Physics 5 Journal of Differential Equations 5 Journal of Functional Analysis 4 Communications in Partial Differential Equations 3 Communications in Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Transport Theory and Statistical Physics 3 Siberian Mathematical Journal 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Computational Mathematics and Mathematical Physics 3 Matematicheskoe Modelirovanie 2 Journal of Mathematical Physics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Differential Equations 2 Annals of PDE 1 Journal of Applied Mathematics and Mechanics 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Functional Analysis and its Applications 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Seminario Matematico della Università di Padova 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Japan Journal of Industrial and Applied Mathematics 1 The Annals of Applied Probability 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 SIAM Journal on Scientific Computing 1 Bulletin des Sciences Mathématiques 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Analysis and Applications (Singapore) 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis & PDE 1 Analysis and Mathematical Physics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Séminaire Laurent Schwartz. EDP et Applications 1 Annales Henri Lebesgue 1 Mechanics of Solids all top 5 Cited in 21 Fields 92 Partial differential equations (35-XX) 62 Statistical mechanics, structure of matter (82-XX) 45 Fluid mechanics (76-XX) 13 Optics, electromagnetic theory (78-XX) 11 Probability theory and stochastic processes (60-XX) 11 Numerical analysis (65-XX) 8 Integral equations (45-XX) 7 Operator theory (47-XX) 5 Mechanics of deformable solids (74-XX) 4 Astronomy and astrophysics (85-XX) 3 Quantum theory (81-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year