Edit Profile (opens in new tab) Mamontov, Aleksandr Evgen’evich Compute Distance To: Compute Author ID: mamontov.alexander-e Published as: Mamontov, A. E.; Mamontov, Alexander E.; Mamontov, Aleksandr Evgen’evich; Mamontov, Alexander Evgenyevich; Mamontov, Alexandre E. more...less External Links: ORCID · Math-Net.Ru Documents Indexed: 41 Publications since 1996 Co-Authors: 5 Co-Authors with 24 Joint Publications 10 Co-Co-Authors Co-Authors 17 single-authored 19 Prokudin, Dmitriĭ Alekseevich 2 Kazhikhov, Alexandre V. 2 Uvarovskaya, M. I. 1 Korolev, O. I. 1 Kucher, Nikolay A. all top 5 Serials 10 Sibirskie Èlektronnye Matematicheskie Izvestiya 7 Siberian Mathematical Journal 3 Izvestiya: Mathematics 3 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 2 Mathematical Notes 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Doklady Mathematics 1 Dinamika Sploshnoĭ Sredy 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Methods and Applications of Analysis 1 Sbornik: Mathematics 1 Journal of Applied Mechanics and Technical Physics 1 Journal of Mathematical Fluid Mechanics 1 Journal of Analysis and Applications 1 Sibirskiĭ Zhurnal Chistoĭ i Prikladnoĭ Matematiki all top 5 Fields 35 Partial differential equations (35-XX) 32 Fluid mechanics (76-XX) 12 Functional analysis (46-XX) 5 Integral transforms, operational calculus (44-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Operator theory (47-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 141 times in 64 Documents Cited by ▼ Year ▼ Global solvability of the multidimensional Navier-Stokes equations of a compressible fluid with nonlinear viscosity. I. Zbl 0938.35121Mamontov, A. E. 20 1999 Solubility of a stationary boundary-value problem for the equations of motion of a one-temperature mixture of viscous compressible heat-conducting fluids. Zbl 1359.76244Mamontov, A. E.; Prokudin, D. A. 11 2014 Viscous compressible multi-fluids: modeling and multi-D existence. Zbl 1290.35203Mamontov, Alexander E.; Prokudin, Dmitriy A. 11 2013 Solvability of the regularized steady problem of the spatial motions of multicomponent viscous compressible fluids. Zbl 1361.35148Mamontov, A. E.; Prokudin, D. A. 8 2016 Stationary solutions to the equations of dynamics of mixtures of heat-conductive compressible viscous fluids. Zbl 1308.35167Kucher, N. A.; Mamontov, A. E.; Prokudin, D. A. 8 2012 Global regularity estimates for multidimensional equations of compressible non-Newtonian fluids. Zbl 0979.35123Mamontov, A. E. 7 2000 Existence of weak solutions to the three-dimensional problem of steady barotropic motions of mixtures of viscous compressible fluids. Zbl 1381.35141Mamontov, A. E.; Prokudin, D. A. 7 2017 Solubility of unsteady equations of multi-component viscous compressible fluids. Zbl 1423.76385Mamontov, Alexander E.; Prokudin, Dmitry A. 7 2018 Global regularity estimates for multidimensional equations of compressible non-Newtonian fluids. Zbl 1039.35086Mamontov, Alexander E. 6 2000 Viscous compressible homogeneous multi-fluids with multiple velocities: barotropic existence theory. Zbl 1379.35248Mamontov, Alexander Evgenyevich; Prokudin, Dmitriy Alexeyevich 6 2017 Solubility of initial boundary value problem for the equations of polytropic motion of multicomponent viscous compressible fluids. Zbl 1351.35144Mamontov, Alexander Evgenyevich; Prokudin, Dmitry Alexeyevich 5 2016 Solubility of steady boundary value problem for the equations of polytropic motion of multicomponent viscous compressible fluids. Zbl 1370.35232Mamontov, Alexander Evgenyevich; Prokudin, Dmitriy Alexeyevich 5 2016 Global solvability of the multidimensional Navier–Stokes equations of a compressible nonlinear viscous fluid. II. Zbl 0928.35119Mamontov, A. E. 4 1999 Existence of global solutions to multidimensional equations for Bingham fluids. Zbl 1147.76004Mamontov, A. E. 4 2007 Global unique solvability of the initial-boundary value problem for the equations of one-dimensional polytropic flows of viscous compressible multifluids. Zbl 1411.76150Mamontov, Alexander E.; Prokudin, Dmitry A. 4 2019 Existence of global solutions of multidimensional Burger’s equations of a compressible viscous fluid. Zbl 0935.35115Mamontov, A. E. 3 1999 On a certain class of convex functions and the exact well-posedness classes of the Cauchy problem for the transport equation in Orlicz spaces. Zbl 0917.35090Kazhikhov, A. V.; Mamontov, A. E. 3 1998 Global solvability of the multidimensional equations of compressible non-Newtonian fluids, transport equation and the Orlicz spaces. Zbl 1299.76213Mamontov, A. E. 3 2009 On the uniqueness of solutions to boundary value problems for non-stationary Euler equations. Zbl 1195.35248Mamontov, Alexander E. 3 2010 Global estimates and solvability of the regularized problem of the three-dimensional unsteady motion of a viscous compressible heat-conductive multifluid. Zbl 1421.35285Mamontov, Aleksandr Evgen’evich; Prokudin, Dmitriĭ Alekseevich 2 2019 Transport equations and Orlicz spaces. Zbl 0938.35090Kazhikhov, Alexandre V.; Mamontov, Alexandre E. 2 1999 Well-posedness of a quasistationary model of a viscous compressible fluid. Zbl 0884.76077Mamontov, A. E. 2 1996 Solvability of a problem for the equations of the dynamics of one-temperature mixtures of heat-conducting viscous compressible fluids. Zbl 1428.35386Mamontov, A. E.; Prokudin, D. A. 1 2019 Local solvability of initial-boundary value problem for one-dimensional equations of polytropic flows of viscous compressible multifluids. Zbl 1438.76030Mamontov, A. E.; Prokudin, D. A. 1 2017 Extrapolation of linear operators acting from \(L_p\) into Orlicz spaces generated by \(N\)-functions of slow or fast growth. Zbl 0917.46020Mamontov, A. E. 1 1996 On the global solvability of a two-dimensional flow problem for Euler equations with unbounded vorticity on the inlet. Zbl 1249.35254Mamontov, A. E.; Uvarovskaya, M. I. 1 2011 Nonstationary ideal incompressible fluid flows: conditions of existence and uniqueness of solutions. Zbl 1272.76036Mamontov, A. E.; Uvarovskaya, M. I. 1 2008 Integral representations and transforms of \(N\)-functions. II. Zbl 1150.46322Mamontov, A. E. 1 2006 Existence of global solutions of multidimensional Burgers equations for a compressible viscous fluid. Zbl 0963.35163Mamontov, A. E. 1 1998 Integral representations and transforms of \(N\)-functions. I. Zbl 1113.46024Mamontov, A. E. 1 2006 Solubility of unsteady equations of the three-dimensional motion of two-component viscous compressible heat-conducting fluids. Zbl 1479.35688Mamontov, A. E.; Prokudin, D. A. 1 2021 Passage to the limit in the Galerkin approximations of the regularized problem of three-dimensional unsteady motion of a viscous compressible heat-conducting multifluid. Zbl 1435.35305Mamontov, Aleksandr Evgen’evich; Prokudin, Dmitriĭ Alekseevich 1 2020 Solubility of unsteady equations of the three-dimensional motion of two-component viscous compressible heat-conducting fluids. Zbl 1479.35688Mamontov, A. E.; Prokudin, D. A. 1 2021 Passage to the limit in the Galerkin approximations of the regularized problem of three-dimensional unsteady motion of a viscous compressible heat-conducting multifluid. Zbl 1435.35305Mamontov, Aleksandr Evgen’evich; Prokudin, Dmitriĭ Alekseevich 1 2020 Global unique solvability of the initial-boundary value problem for the equations of one-dimensional polytropic flows of viscous compressible multifluids. Zbl 1411.76150Mamontov, Alexander E.; Prokudin, Dmitry A. 4 2019 Global estimates and solvability of the regularized problem of the three-dimensional unsteady motion of a viscous compressible heat-conductive multifluid. Zbl 1421.35285Mamontov, Aleksandr Evgen’evich; Prokudin, Dmitriĭ Alekseevich 2 2019 Solvability of a problem for the equations of the dynamics of one-temperature mixtures of heat-conducting viscous compressible fluids. Zbl 1428.35386Mamontov, A. E.; Prokudin, D. A. 1 2019 Solubility of unsteady equations of multi-component viscous compressible fluids. Zbl 1423.76385Mamontov, Alexander E.; Prokudin, Dmitry A. 7 2018 Existence of weak solutions to the three-dimensional problem of steady barotropic motions of mixtures of viscous compressible fluids. Zbl 1381.35141Mamontov, A. E.; Prokudin, D. A. 7 2017 Viscous compressible homogeneous multi-fluids with multiple velocities: barotropic existence theory. Zbl 1379.35248Mamontov, Alexander Evgenyevich; Prokudin, Dmitriy Alexeyevich 6 2017 Local solvability of initial-boundary value problem for one-dimensional equations of polytropic flows of viscous compressible multifluids. Zbl 1438.76030Mamontov, A. E.; Prokudin, D. A. 1 2017 Solvability of the regularized steady problem of the spatial motions of multicomponent viscous compressible fluids. Zbl 1361.35148Mamontov, A. E.; Prokudin, D. A. 8 2016 Solubility of initial boundary value problem for the equations of polytropic motion of multicomponent viscous compressible fluids. Zbl 1351.35144Mamontov, Alexander Evgenyevich; Prokudin, Dmitry Alexeyevich 5 2016 Solubility of steady boundary value problem for the equations of polytropic motion of multicomponent viscous compressible fluids. Zbl 1370.35232Mamontov, Alexander Evgenyevich; Prokudin, Dmitriy Alexeyevich 5 2016 Solubility of a stationary boundary-value problem for the equations of motion of a one-temperature mixture of viscous compressible heat-conducting fluids. Zbl 1359.76244Mamontov, A. E.; Prokudin, D. A. 11 2014 Viscous compressible multi-fluids: modeling and multi-D existence. Zbl 1290.35203Mamontov, Alexander E.; Prokudin, Dmitriy A. 11 2013 Stationary solutions to the equations of dynamics of mixtures of heat-conductive compressible viscous fluids. Zbl 1308.35167Kucher, N. A.; Mamontov, A. E.; Prokudin, D. A. 8 2012 On the global solvability of a two-dimensional flow problem for Euler equations with unbounded vorticity on the inlet. Zbl 1249.35254Mamontov, A. E.; Uvarovskaya, M. I. 1 2011 On the uniqueness of solutions to boundary value problems for non-stationary Euler equations. Zbl 1195.35248Mamontov, Alexander E. 3 2010 Global solvability of the multidimensional equations of compressible non-Newtonian fluids, transport equation and the Orlicz spaces. Zbl 1299.76213Mamontov, A. E. 3 2009 Nonstationary ideal incompressible fluid flows: conditions of existence and uniqueness of solutions. Zbl 1272.76036Mamontov, A. E.; Uvarovskaya, M. I. 1 2008 Existence of global solutions to multidimensional equations for Bingham fluids. Zbl 1147.76004Mamontov, A. E. 4 2007 Integral representations and transforms of \(N\)-functions. II. Zbl 1150.46322Mamontov, A. E. 1 2006 Integral representations and transforms of \(N\)-functions. I. Zbl 1113.46024Mamontov, A. E. 1 2006 Global regularity estimates for multidimensional equations of compressible non-Newtonian fluids. Zbl 0979.35123Mamontov, A. E. 7 2000 Global regularity estimates for multidimensional equations of compressible non-Newtonian fluids. Zbl 1039.35086Mamontov, Alexander E. 6 2000 Global solvability of the multidimensional Navier-Stokes equations of a compressible fluid with nonlinear viscosity. I. Zbl 0938.35121Mamontov, A. E. 20 1999 Global solvability of the multidimensional Navier–Stokes equations of a compressible nonlinear viscous fluid. II. Zbl 0928.35119Mamontov, A. E. 4 1999 Existence of global solutions of multidimensional Burger’s equations of a compressible viscous fluid. Zbl 0935.35115Mamontov, A. E. 3 1999 Transport equations and Orlicz spaces. Zbl 0938.35090Kazhikhov, Alexandre V.; Mamontov, Alexandre E. 2 1999 On a certain class of convex functions and the exact well-posedness classes of the Cauchy problem for the transport equation in Orlicz spaces. Zbl 0917.35090Kazhikhov, A. V.; Mamontov, A. E. 3 1998 Existence of global solutions of multidimensional Burgers equations for a compressible viscous fluid. Zbl 0963.35163Mamontov, A. E. 1 1998 Well-posedness of a quasistationary model of a viscous compressible fluid. Zbl 0884.76077Mamontov, A. E. 2 1996 Extrapolation of linear operators acting from \(L_p\) into Orlicz spaces generated by \(N\)-functions of slow or fast growth. Zbl 0917.46020Mamontov, A. E. 1 1996 all cited Publications top 5 cited Publications all top 5 Cited by 63 Authors 19 Mamontov, Aleksandr Evgen’evich 17 Prokudin, Dmitriĭ Alekseevich 6 Guo, Zhenhua 5 Fang, Li 3 Feireisl, Eduard 3 Guo, Zhidong 3 Song, Yukun 3 Vodák, Rostislav 2 Andrášik, Richard 2 Bravin, Marco 2 Liu, Fengming 2 Novotný, Antonín 2 Peperko, Aljoša 2 Saritskaia, Zhanna Yurievna 2 Zatorska, Ewelina 2 Zhang, Yunliang 1 Abbatiello, Anna 1 Al Taki, Bilal 1 Artëmov, Mikhail Anatol’evich 1 Baranovskiĭ, Evgeniĭ Sergeevich 1 Basarić, Danica 1 Bogdanović, Katarina 1 Bresch, Didier 1 Burtea, Cosmin 1 Chen, Yang 1 Dong, Wenchao 1 Gritsenko, Svetlana Aleksandrovna 1 Guo, Shanshan 1 Hlaváčová, Nikola 1 Illarionov, Andrei A. 1 Illarionova, L. V. 1 Imomnazarov, Sherzad Kholmatgonovich 1 Kazhikhov, Alexandre V. 1 Krayushkina, M. V. 1 Kucher, Nikolay A. 1 Kwon, Young-Sam 1 Liu, Jinjing 1 Liu, Xin 1 Lu, Yongjin 1 Málek, Josef 1 Malyshenko, Olga V. 1 Meirmanov, Anvarbek Mukatovich 1 Morgulis, Andrey Borisovich 1 Mucha, Piotr Bogusław 1 Pan, Jie 1 Piasecki, Tomasz 1 Pokorný, Milan 1 Rozanova, Olga S. 1 Shibata, Yoshihiro 1 Skobaneva, Anna Vadimovna 1 Sueur, Franck 1 Sun, Yanyan 1 Tan, Zhong 1 Tong, Lining 1 Urev, Mikhaĭl Vadimovich 1 Uvarovskaya, M. I. 1 Wang, Heyuan 1 Wang, Yuxin 1 Weigant, W. A. 1 Yang, Xinguang 1 Yuan, Hongjun 1 Zhalnina, Alexandra Anatolevna 1 Zhu, Huan all top 5 Cited in 33 Serials 12 Sibirskie Èlektronnye Matematicheskie Izvestiya 7 Siberian Mathematical Journal 4 Journal of Mathematical Fluid Mechanics 3 Journal of Mathematical Physics 3 Mathematical Notes 3 Advances in Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Izvestiya: Mathematics 2 Positivity 2 Communications on Pure and Applied Analysis 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Doklady Mathematics 1 Journal of Applied Mechanics and Technical Physics 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Journal of Dynamical and Control Systems 1 Nonlinear Analysis. Real World Applications 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 1 Evolution Equations and Control Theory 1 Open Mathematics 1 Sibirskiĭ Zhurnal Chistoĭ i Prikladnoĭ Matematiki all top 5 Cited in 11 Fields 57 Partial differential equations (35-XX) 55 Fluid mechanics (76-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Functional analysis (46-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Citations by Year