## Mamontov, Aleksandr Evgen’evich

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 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.
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### 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
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### 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)

### 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 0938.35121
Mamontov, A. E.
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 1359.76244
Mamontov, A. E.; Prokudin, D. A.
2014
Viscous compressible multi-fluids: modeling and multi-D existence. Zbl 1290.35203
Mamontov, Alexander E.; Prokudin, Dmitriy A.
2013
Solvability of the regularized steady problem of the spatial motions of multicomponent viscous compressible fluids. Zbl 1361.35148
Mamontov, A. E.; Prokudin, D. A.
2016
Stationary solutions to the equations of dynamics of mixtures of heat-conductive compressible viscous fluids. Zbl 1308.35167
Kucher, N. A.; Mamontov, A. E.; Prokudin, D. A.
2012
Global regularity estimates for multidimensional equations of compressible non-Newtonian fluids. Zbl 0979.35123
Mamontov, A. E.
2000
Existence of weak solutions to the three-dimensional problem of steady barotropic motions of mixtures of viscous compressible fluids. Zbl 1381.35141
Mamontov, A. E.; Prokudin, D. A.
2017
Solubility of unsteady equations of multi-component viscous compressible fluids. Zbl 1423.76385
Mamontov, Alexander E.; Prokudin, Dmitry A.
2018
Global regularity estimates for multidimensional equations of compressible non-Newtonian fluids. Zbl 1039.35086
Mamontov, Alexander E.
2000
Viscous compressible homogeneous multi-fluids with multiple velocities: barotropic existence theory. Zbl 1379.35248
Mamontov, Alexander Evgenyevich; Prokudin, Dmitriy Alexeyevich
2017
Solubility of initial boundary value problem for the equations of polytropic motion of multicomponent viscous compressible fluids. Zbl 1351.35144
Mamontov, Alexander Evgenyevich; Prokudin, Dmitry Alexeyevich
2016
Solubility of steady boundary value problem for the equations of polytropic motion of multicomponent viscous compressible fluids. Zbl 1370.35232
Mamontov, Alexander Evgenyevich; Prokudin, Dmitriy Alexeyevich
2016
Global solvability of the multidimensional Navier–Stokes equations of a compressible nonlinear viscous fluid.  II. Zbl 0928.35119
Mamontov, A. E.
1999
Existence of global solutions to multidimensional equations for Bingham fluids. Zbl 1147.76004
Mamontov, A. E.
2007
Global unique solvability of the initial-boundary value problem for the equations of one-dimensional polytropic flows of viscous compressible multifluids. Zbl 1411.76150
Mamontov, Alexander E.; Prokudin, Dmitry A.
2019
Existence of global solutions of multidimensional Burger’s equations of a compressible viscous fluid. Zbl 0935.35115
Mamontov, A. E.
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 0917.35090
Kazhikhov, A. V.; Mamontov, A. E.
1998
Global solvability of the multidimensional equations of compressible non-Newtonian fluids, transport equation and the Orlicz spaces. Zbl 1299.76213
Mamontov, A. E.
2009
On the uniqueness of solutions to boundary value problems for non-stationary Euler equations. Zbl 1195.35248
Mamontov, Alexander E.
2010
Global estimates and solvability of the regularized problem of the three-dimensional unsteady motion of a viscous compressible heat-conductive multifluid. Zbl 1421.35285
Mamontov, Aleksandr Evgen’evich; Prokudin, Dmitriĭ Alekseevich
2019
Transport equations and Orlicz spaces. Zbl 0938.35090
Kazhikhov, Alexandre V.; Mamontov, Alexandre E.
1999
Well-posedness of a quasistationary model of a viscous compressible fluid. Zbl 0884.76077
Mamontov, A. E.
1996
Solvability of a problem for the equations of the dynamics of one-temperature mixtures of heat-conducting viscous compressible fluids. Zbl 1428.35386
Mamontov, A. E.; Prokudin, D. A.
2019
Local solvability of initial-boundary value problem for one-dimensional equations of polytropic flows of viscous compressible multifluids. Zbl 1438.76030
Mamontov, A. E.; Prokudin, D. A.
2017
Extrapolation of linear operators acting from $$L_p$$ into Orlicz spaces generated by $$N$$-functions of slow or fast growth. Zbl 0917.46020
Mamontov, A. E.
1996
On the global solvability of a two-dimensional flow problem for Euler equations with unbounded vorticity on the inlet. Zbl 1249.35254
Mamontov, A. E.; Uvarovskaya, M. I.
2011
Nonstationary ideal incompressible fluid flows: conditions of existence and uniqueness of solutions. Zbl 1272.76036
Mamontov, A. E.; Uvarovskaya, M. I.
2008
Integral representations and transforms of $$N$$-functions. II. Zbl 1150.46322
Mamontov, A. E.
2006
Existence of global solutions of multidimensional Burgers equations for a compressible viscous fluid. Zbl 0963.35163
Mamontov, A. E.
1998
Integral representations and transforms of $$N$$-functions. I. Zbl 1113.46024
Mamontov, A. E.
2006
Solubility of unsteady equations of the three-dimensional motion of two-component viscous compressible heat-conducting fluids. Zbl 1479.35688
Mamontov, A. E.; Prokudin, D. A.
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 1435.35305
Mamontov, Aleksandr Evgen’evich; Prokudin, Dmitriĭ Alekseevich
2020
Solubility of unsteady equations of the three-dimensional motion of two-component viscous compressible heat-conducting fluids. Zbl 1479.35688
Mamontov, A. E.; Prokudin, D. A.
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 1435.35305
Mamontov, Aleksandr Evgen&rsquo;evich; Prokudin, Dmitriĭ Alekseevich
2020
Global unique solvability of the initial-boundary value problem for the equations of one-dimensional polytropic flows of viscous compressible multifluids. Zbl 1411.76150
Mamontov, Alexander E.; Prokudin, Dmitry A.
2019
Global estimates and solvability of the regularized problem of the three-dimensional unsteady motion of a viscous compressible heat-conductive multifluid. Zbl 1421.35285
Mamontov, Aleksandr Evgen&rsquo;evich; Prokudin, Dmitriĭ Alekseevich
2019
Solvability of a problem for the equations of the dynamics of one-temperature mixtures of heat-conducting viscous compressible fluids. Zbl 1428.35386
Mamontov, A. E.; Prokudin, D. A.
2019
Solubility of unsteady equations of multi-component viscous compressible fluids. Zbl 1423.76385
Mamontov, Alexander E.; Prokudin, Dmitry A.
2018
Existence of weak solutions to the three-dimensional problem of steady barotropic motions of mixtures of viscous compressible fluids. Zbl 1381.35141
Mamontov, A. E.; Prokudin, D. A.
2017
Viscous compressible homogeneous multi-fluids with multiple velocities: barotropic existence theory. Zbl 1379.35248
Mamontov, Alexander Evgenyevich; Prokudin, Dmitriy Alexeyevich
2017
Local solvability of initial-boundary value problem for one-dimensional equations of polytropic flows of viscous compressible multifluids. Zbl 1438.76030
Mamontov, A. E.; Prokudin, D. A.
2017
Solvability of the regularized steady problem of the spatial motions of multicomponent viscous compressible fluids. Zbl 1361.35148
Mamontov, A. E.; Prokudin, D. A.
2016
Solubility of initial boundary value problem for the equations of polytropic motion of multicomponent viscous compressible fluids. Zbl 1351.35144
Mamontov, Alexander Evgenyevich; Prokudin, Dmitry Alexeyevich
2016
Solubility of steady boundary value problem for the equations of polytropic motion of multicomponent viscous compressible fluids. Zbl 1370.35232
Mamontov, Alexander Evgenyevich; Prokudin, Dmitriy Alexeyevich
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 1359.76244
Mamontov, A. E.; Prokudin, D. A.
2014
Viscous compressible multi-fluids: modeling and multi-D existence. Zbl 1290.35203
Mamontov, Alexander E.; Prokudin, Dmitriy A.
2013
Stationary solutions to the equations of dynamics of mixtures of heat-conductive compressible viscous fluids. Zbl 1308.35167
Kucher, N. A.; Mamontov, A. E.; Prokudin, D. A.
2012
On the global solvability of a two-dimensional flow problem for Euler equations with unbounded vorticity on the inlet. Zbl 1249.35254
Mamontov, A. E.; Uvarovskaya, M. I.
2011
On the uniqueness of solutions to boundary value problems for non-stationary Euler equations. Zbl 1195.35248
Mamontov, Alexander E.
2010
Global solvability of the multidimensional equations of compressible non-Newtonian fluids, transport equation and the Orlicz spaces. Zbl 1299.76213
Mamontov, A. E.
2009
Nonstationary ideal incompressible fluid flows: conditions of existence and uniqueness of solutions. Zbl 1272.76036
Mamontov, A. E.; Uvarovskaya, M. I.
2008
Existence of global solutions to multidimensional equations for Bingham fluids. Zbl 1147.76004
Mamontov, A. E.
2007
Integral representations and transforms of $$N$$-functions. II. Zbl 1150.46322
Mamontov, A. E.
2006
Integral representations and transforms of $$N$$-functions. I. Zbl 1113.46024
Mamontov, A. E.
2006
Global regularity estimates for multidimensional equations of compressible non-Newtonian fluids. Zbl 0979.35123
Mamontov, A. E.
2000
Global regularity estimates for multidimensional equations of compressible non-Newtonian fluids. Zbl 1039.35086
Mamontov, Alexander E.
2000
Global solvability of the multidimensional Navier-Stokes equations of a compressible fluid with nonlinear viscosity.  I. Zbl 0938.35121
Mamontov, A. E.
1999
Global solvability of the multidimensional Navier–Stokes equations of a compressible nonlinear viscous fluid.  II. Zbl 0928.35119
Mamontov, A. E.
1999
Existence of global solutions of multidimensional Burger’s equations of a compressible viscous fluid. Zbl 0935.35115
Mamontov, A. E.
1999
Transport equations and Orlicz spaces. Zbl 0938.35090
Kazhikhov, Alexandre V.; Mamontov, Alexandre E.
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 0917.35090
Kazhikhov, A. V.; Mamontov, A. E.
1998
Existence of global solutions of multidimensional Burgers equations for a compressible viscous fluid. Zbl 0963.35163
Mamontov, A. E.
1998
Well-posedness of a quasistationary model of a viscous compressible fluid. Zbl 0884.76077
Mamontov, A. E.
1996
Extrapolation of linear operators acting from $$L_p$$ into Orlicz spaces generated by $$N$$-functions of slow or fast growth. Zbl 0917.46020
Mamontov, A. E.
1996
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### 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
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### 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
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### 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)