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## Kuznetsov, Andrey V.

Compute Distance To:
 Author ID: kuznetsov.andrey-v Published as: Kuznetsov, A. V.; Kuznetsov, Andrey V.; Kuznetsov, A.
 Documents Indexed: 183 Publications since 1959, including 3 Books
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#### Co-Authors

 64 single-authored 31 Nield, Donald A. 13 Kuznetsov, Ivan A. 11 Avramenko, Andriy A. 5 Troepol’skaya, O. V. 5 Xiong, Ming 4 Elesin, M. A. 4 Mikheev, N. V. 4 Zeifman, Alexander Izrailevich 3 Becker, Saskia Myriam Alice 3 Blinov, D. G. 3 Chibrikova, Lyubov’ Ivanovna 3 Il’insky, N. B. 3 Kotlyar, L. M. 3 Kuznetsov, S. A. 3 Okrugin, A. A. 2 Aksent’ev, Leonid Aleksandrovich 2 Andreev, D. B. 2 Kobzar, S. G. 2 Krylov, E. A. 2 Nuzhin, M. T. 2 Putyata, V. I. 2 Roberts, William L. 2 Rumyantsev, D. A. 2 Shevchuk, Igor V. 2 Shitova, A. M. 2 Tsybakov, Boris S. 2 Tumashev, G. G. 2 Wan, Qun 2 Zvyagin, Victor G. 1 Avila, Marc 1 Babich, Vasiliĭ Mikhaĭlovich 1 Balamohan, Balasingham 1 Basok, B. I. 1 Bowen, P. J. 1 Bulygin, V. Ya. 1 Chastain, John 1 Dyakin, Villiam V. 1 Edwards, Jack R. 1 Ermolaeva, N. M. 1 Fal’kovich, S. V. 1 Ferreira, Hendrik C. 1 Gasow, Stefan 1 Geng, Tao 1 Glushchenko, B. G. 1 Habibullin, Sh. T. 1 Hooman, Kamel 1 Iwanisov, L. T. 1 Jasper, Warren J. 1 Jin, Yan 1 Karpenko, B. V. 1 Kim, Deok-Soo 1 Kim, Woo-Seung 1 Kiselev, O. M. 1 Lin, Zhe 1 Manevich, A. Sh. 1 Mao, Deming 1 Molokovich, Yu. M. 1 Nikolaeva, N. V. 1 Paducheva, E. V. 1 Paxson, Daniel E. 1 Pikul’, V. E. 1 Ro, Paul I. 1 Sandeep, K. P. 1 Savin, V. N. 1 Serghienko, A. V. 1 Shlenev, D. M. 1 Srivastava, Ravi K. 1 Swarts, Francis 1 Tanny, Stephen M. 1 Terent’ev, A. G. 1 Tyrinov, Andrii I. 1 Vafai, Kambiz 1 Vagizova, N. V. 1 Vinck, A. J. Han 1 Wu, Mengbai 1 Wu, Tao 1 Zhang, Haochun 1 Zheng, Fei
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#### Serials

 34 International Journal of Heat and Mass Transfer 10 Mathematical Biosciences 9 Acta Mechanica 9 Journal of Porous Media 7 International Journal of Modern Physics A 7 Fluid Dynamics 6 Trudy Seminara po Kraevym Zadacham 5 European Journal of Mechanics. B. Fluids 5 Flow, Turbulence and Combustion 4 International Journal of Applied Mechanics and Engineering 3 Applied Scientific Research 3 International Journal for Numerical Methods in Fluids 3 Theoretical and Computational Fluid Dynamics 3 Problemy Peredachi Informatsii 3 Journal of Mathematical Sciences (New York) 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Mathematical Medicine and Biology 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 IEEE Transactions on Information Theory 2 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 2 Journal of Fluid Mechanics 2 Problems of Information Transmission 2 Russian Mathematical Surveys 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Fluid Dynamics Research 2 Computational Mathematics and Mathematical Physics 2 Automation and Remote Control 2 Russian Mathematics 2 Physics of Fluids 2 Applied Mechanics and Engineering 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Modern Physics Letters A 1 International Journal of Engineering Science 1 Journal of Computational Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Soviet Applied Mechanics 1 Izvestiya Akademii Nauk Moldavskoĭ SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk 1 Soviet Mathematics. Doklady 1 Izvestiya Severo-Kavkazskogo Nauchnogo Tsentra Vyssheĭ Shkoly. Tekhnicheskie Nauki 1 Journal of Theoretical Probability 1 Journal of Computer and Systems Sciences International 1 Zapiski Nauchnykh Seminarov POMI 1 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 1 Journal of Integer Sequences 1 Russian Physics Journal 1 Computer Assisted Mechanics and Engineering Sciences 1 Differential Equations 1 Vestnik Voronezhskogo Gosudarstvennogo Universiteta. Seriya Fizika, Matematika 1 PMM, Journal of Applied Mathematics and Mechanics 1 Uchenye Zapiski Kazanskogo Gosudarstvennogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 International Journal for Numerical Methods in Biomedical Engineering 1 Journal of Theoretical Biology
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#### Fields

 117 Fluid mechanics (76-XX) 62 Classical thermodynamics, heat transfer (80-XX) 35 Biology and other natural sciences (92-XX) 16 Partial differential equations (35-XX) 8 Probability theory and stochastic processes (60-XX) 8 Quantum theory (81-XX) 7 Information and communication theory, circuits (94-XX) 6 Computer science (68-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Functions of a complex variable (30-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Astronomy and astrophysics (85-XX) 3 History and biography (01-XX) 3 Statistics (62-XX) 3 Numerical analysis (65-XX) 3 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

101 Publications have been cited 570 times in 44 Documents Cited by Year
The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. Zbl 1177.80046
Nield, D. A.; Kuznetsov, A. V.
2009
Thermal instability in a porous medium layer saturated by a nanofluid. Zbl 1177.80047
Nield, D. A.; Kuznetsov, A. V.
2009
The Cheng-Minkowycz problem for the double-diffusive natural convective boundary layer flow in a porous medium saturated by a nanofluid. Zbl 1205.80039
Nield, D. A.; Kuznetsov, A. V.
2011
The onset of convection in a horizontal nanofluid layer of finite depth. Zbl 1193.76052
Nield, D. A.; Kuznetsov, A. V.
2010
Analytical investigation of the fluid flow in the interface region between a porous medium and a clear fluid in channels partially filled with a porous medium. Zbl 0881.76093
Kuznetsov, A. V.
1996
Thermally developing forced convection in a porous medium: Parallel plate channel with walls at uniform temperature, with axial conduction and viscous dissipation effects. Zbl 1038.76041
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2003
The onset of convection in a bidisperse porous medium. Zbl 1189.76205
Nield, D. A.; Kuznetsov, A. V.
2006
Analytical investigation of Couette flow in a composite channel partially filled with a porous medium and partially with a clear fluid. Zbl 0940.76527
Kuznetsov, A. V.
1998
Non-oscillatory and oscillatory nanofluid bio-thermal convection in a horizontal layer of finite depth. Zbl 1258.76083
Kuznetsov, A. V.
2011
On the propositional calculus of intuitionistic provability. Zbl 0605.03006
Kuznetsov, A. V.
1985
Local thermal nonequilibrium effects in forced convection in a porous medium channel: A conjugate problem. Zbl 0947.76078
Nield, D. A.; Kuznetsov, A. V.
1999
Effect of local thermal non-equilibrium on thermally developing forced convection in a porous medium. Zbl 1032.76676
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2002
Investigation of the onset of thermo-bioconvection in a suspension of oxytactic microorganisms in a shallow fluid layer heated from below. Zbl 1112.76515
Kuznetsov, A. V.
2005
Thermally developing forced convection in a porous medium: parallel-plate channel or circular tube with isothermal walls. Zbl 1073.76063
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2004
Natural convection about a vertical plate embedded in a bidisperse porous medium. Zbl 1141.76063
Nield, D. A.; Kuznetsov, A. V.
2008
Settling of bidispersed small solid particles in a dilute suspension containing gyrotactic micro-organisms. Zbl 1211.76081
Geng, P.; Kuznetsov, A. V.
2005
The effect of combined vertical and horizontal heterogeneity on the onset of convection in a bidisperse porous medium. Zbl 1113.80012
Nield, D. A.; Kuznetsov, A. V.
2007
Forced convection in a bi-disperse porous medium channel: a conjugate problem. Zbl 1098.76616
Nield, D. A.; Kuznetsov, A. V.
2004
The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium. Zbl 1124.80352
Nield, D. A.; Kuznetsov, A. V.
2007
Modeling traffic jams in intracellular transport in axons. Zbl 1149.92313
Kuznetsov, A. V.; Hooman, K.
2008
Analytical studies of forced convection in partly porous configurations. Zbl 1107.76388
Kuznetsov, A. V.
2000
The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium: Moderate heterogeneity. Zbl 1144.80340
Nield, D. A.; Kuznetsov, A. V.
2008
The onset of thermo-bioconvection in a shallow fluid saturated porous layer heated from below in a suspension of oxytactic microorganisms. Zbl 1085.76019
Kuznetsov, A. V.
2006
Instability of a slip flow in a curved channel formed by two concentric cylindrical surfaces. Zbl 1176.76041
Avramenko, A. A.; Kuznetsov, A. V.
2009
A model of the joint motion of agents with a three-level hierarchy based on a cellular automaton. Zbl 1410.68357
Kuznetsov, A. V.
2017
Thermally developing forced convection in a porous medium: Parallel-plate channel or circular tube with walls at constant heat flux. Zbl 1057.76054
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2003
Effects of temperature-dependent viscosity in forced convection in a porous medium: Layered-medium analysis. Zbl 1058.76069
Nield, D. A.; Kuznetsov, A. V.
2003
The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium with horizontal throughflow. Zbl 1231.80024
Nield, D. A.; Kuznetsov, A. V.
2011
A comparison between the diffusion-reaction and slow axonal transport models for predicting tau distribution along an axon. Zbl 1325.92020
Kuznetsov, I. A.; Kuznetsov, A. V.
2015
Symmetry of turbulent boundary-layer flows: Investigation of different eddy viscosity models. Zbl 0997.76033
Avramenko, A. A.; Kobzar, S. G.; Shevchuk, I. V.; Kuznetsov, A. V.; Iwanisov, L. T.
2001
Thermally developing forced convection in a channel occupied by a porous medium saturated by a non-Newtonian fluid. Zbl 1189.76501
Nield, D. A.; Kuznetsov, A. V.
2005
On the behavior of a variant of Hofstadter’s $$Q$$-sequence. Zbl 1141.05303
Balamohan, B.; Kuznetsov, A.; Tanny, Stephen
2007
Coding in a memory with defective cells. Zbl 0311.94012
Kuznetsov, A. V.; Tsybakov, B. S.
1974
A simplified combat model based on a cellular automaton. Zbl 1384.93019
Kuznetsov, A. V.
2017
Fluid mechanics and heat transfer in the interface region between a porous medium and a fluid layer: A boundary layer solution. Zbl 0943.76075
Kuznetsov, A. V.
1999
Development of low-diffusion flux-splitting methods for dense gas-solid flows. Zbl 1047.76551
Mao, Deming; Edwards, Jack R.; Kuznetsov, Andrey V.; Srivastava, Ravi K.
2003
Nanofluid bioconvection: interaction of microorganisms oxytactic upswimming, nanoparticle distribution, and heating/cooling from below. Zbl 1291.76374
Kuznetsov, A. V.
2012
The interaction of thermal nonequilibrium and heterogeneous conductivity effects in forced convection in layered porous channels. Zbl 1091.76561
Nield, D. A.; Kuznetsov, A. V.
2001
Analytical study of fluid flow and heat transfer during forced convection in a composite channel partly filled with a Brinkman-Forchheimer porous medium. Zbl 0937.76084
Kuznetsov, A. V.
1998
Modeling of particle trajectories in an electrostatically charged channel. Zbl 1188.76176
Wu, Mengbai; Kuznetsov, Andrey V.; Jasper, Warren J.
2010
The onset of convection in a tridisperse porous medium. Zbl 1219.80065
Kuznetsov, A. V.; Nield, D. A.
2011
An exact solution describing slow axonal transport of cytoskeletal elements: the effect of a finite half-life. Zbl 1371.92035
Kuznetsov, A. V.
2012
The onset of bio-thermal convection induced by a combined effect of gyrotactic and oxytactic microorganisms. Zbl 1356.76098
Kuznetsov, A. V.
2013
On ergodicity and stability estimates for some nonhomogeneous Markov chains. Zbl 1015.60065
Andreev, D. B.; Elesin, M. A.; Krylov, E. A.; Kuznetsov, A. V.; Zeifman, A. I.
2002
Effects of heterogeneity in forced convection in a porous medium: parallel plate channel or circular duct. Zbl 1064.76611
Nield, D. A.; Kuznetsov, A. V.
2000
Stochastic modeling of heating of a one-dimensional porous slab by a flow of incompressible fluid. Zbl 0858.76083
Kuznetsov, A. V.
1996
Boundary-layer analysis of forced convection with a plate and porous substrate. Zbl 1064.76098
Nield, D. A.; Kuznetsov, A. V.
2003
Numerical study of the efficiency of acoustic streaming for enhancing heat transfer between two parallel beams. Zbl 1113.74413
Wan, Qun; Kuznetsov, A. V.
2003
On the propagation of surface electromagnetic waves analogous to Rayleigh waves in the case of Leontovich boundary conditions. Zbl 1092.35108
Babich, V. M.; Kuznetsov, A. V.
2005
Forced convective cooling via acoustic streaming in a narrow channel established by a vibrating piezoelectric bimorph. Zbl 1190.76163
Wan, Qun; Wu, Tao; Chastain, John; Roberts, William L.; Kuznetsov, Andrey V.; Ro, Paul I.
2005
Thermal damage reduction associated with in vivo skin electroporation: a numerical investigation justifying aggressive pre-cooling. Zbl 1104.80003
Becker, S. M.; Kuznetsov, A. V.
2007
Nanofluid bio-thermal convection: simultaneous effects of gyrotactic and oxytactic micro-organisms. Zbl 1456.76049
Kuznetsov, A. V.
2011
A three-velocity three-temperature model for a tridisperse porous medium: Forced convection in a channel. Zbl 1217.80071
Nield, D. A.; Kuznetsov, A. V.
2011
The Cheng-Minkowycz problem for natural convection about a vertical plate embedded in a tridisperse porous medium. Zbl 1218.80004
Nield, D. A.; Kuznetsov, A. V.
2011
Investigation of the role of diffusivity on spreading, rate, and merging of the bell-shaped waves in slow axonal transport. Zbl 1219.92010
Kuznetsov, A. V.; Avramenko, A. A.; Blinov, D. G.
2011
Simulating tubulin-associated unit transport in an axon: using bootstrapping for estimating confidence intervals of best-fit parameter values obtained from indirect experimental data. Zbl 1404.92055
Kuznetsov, I. A.; Kuznetsov, A. V.
2017
What mechanisms of tau protein transport could be responsible for the inverted tau concentration gradient in degenerating axons? Zbl 1400.92267
Kuznetsov, I. A.; Kuznetsov, A. V.
2017
What tau distribution maximizes fast axonal transport toward the axonal synapse? Zbl 1315.92016
Kuznetsov, I. A.; Kuznetsov, A. V.
2014
An investigation of a wave of temperature difference between solid and fluid phases in a porous packed bed. Zbl 0900.76682
Kuznetsov, A. V.
1994
Fluid flow and heat transfer analysis of Couette flow in a composite duct. Zbl 0963.76087
Kuznetsov, A. V.
2000
Numerical simulation of the effect of thermal dispersion on forced convection in a circular duct partly filled with a Brinkman-Forchheimer porous medium. Zbl 0989.76080
Kuznetsov, A. V.; Xiong, M.
2000
Forced convective heat transfer in a parallel-plate channel with a porous core. Zbl 0963.76081
Kuznetsov, A. V.
1999
Analytical investigation of heat transfer in Couette flow through a porous medium utilizing the Brinkman-Forchheimer-extended Darcy model. Zbl 0914.76084
Kuznetsov, A. V.
1998
Forced convection in a helical pipe filled with a saturated porous medium. Zbl 1098.76612
Nield, D. A.; Kuznetsov, A. V.
2004
How the formation of amyloid plaques and neurofibrillary tangles may be related: a mathematical modelling study. Zbl 1402.92099
Kuznetsov, I. A.; Kuznetsov, A. V.
2018
Simulating the effect of formation of amyloid plaques on aggregation of tau protein. Zbl 1425.92065
Kuznetsov, I. A.; Kuznetsov, A. V.
2018
Forced convection in cellular porous materials: effect of temperature-dependent conductivity arising from radiative transfer. Zbl 1191.80025
Nield, D. A.; Kuznetsov, A. V.
2010
Investigation of laminar flow in a helical pipe filled with a fluid-saturated porous medium. Zbl 1060.76114
Cheng, L.; Kuznetsov, A. V.
2005
The exact electron propagator in a magnetic field as the sum over Landau levels on a basis of the Dirac equation exact solutions. Zbl 1247.81599
Kuznetsov, A. V.; Okrugin, A. A.
2011
Thermal in vivo skin electroporation pore development and charged macromolecule transdermal delivery: A numerical study of the influence of chemically enhanced lower lipid phase transition temperatures. Zbl 1140.80310
Becker, S. M.; Kuznetsov, A. V.
2008
Numerical modeling of a falling bioconvection plume in a porous medium. Zbl 1089.76068
Becker, S. M.; Kuznetsov, A. V.; Avramenko, A. A.
2004
Effect of vesicle traps on traffic jam formation in fast axonal transport. Zbl 1194.92012
Kuznetsov, A. V.
2010
A macroscopic model of traffic jams in axons. Zbl 1160.92009
Kuznetsov, A. V.; Avramenko, A. A.
2009
Forced convection in a channel partly occupied by a bidisperse porous medium: asymmetric case. Zbl 1255.76113
Kuznetsov, A. V.; Nield, D. A.
2010
Provability-intuitionistic propositional calculus. Zbl 0584.03011
Kuznetsov, A. V.
1985
Utilization of the bootstrap method for determining confidence intervals of parameters for a model of MAP1B protein transport in axons. Zbl 1370.92017
Kuznetsov, I. A.; Kuznetsov, A. V.
2017
Effects of pore scale on the macroscopic properties of natural convection in porous media. Zbl 1460.76748
Gasow, Stefan; Lin, Zhe; Zhang, Hao Chun; Kuznetsov, Andrey V.; Avila, Marc; Jin, Yan
2020
Investigation of a non-thermal equilibrium flow of an incompressible fluid in a cylindrical tube filled with porous media. Zbl 0889.76085
Kuznetsov, A. V.
1996
Effects of heterogeneity in forced convection in a porous medium: Parallel-plate channel, asymmetric property variation, and asymmetric heating. Zbl 1033.76056
Nield, D. A.; Kuznetsov, A. V.
2001
An analytical solution for heating a two-dimensional porous packed bed by a non-thermal equilibrium fluid flow. Zbl 0846.76091
Kuznetsov, A. V.
1995
Development and investigation of three-phase model of the mushy zone for analysis of porosity formation in solidifying castings. Zbl 0925.76867
Kuznetsov, A. V.; Vafai, K.
1995
A perturbation solution for heating a rectangular sensible heat storage packed bed with a constant temperature at the walls. Zbl 0925.76728
Kuznetsov, A. V.
1997
Investigation of the coupled heat transfer, fluid flow and the solute transport during the strip casting process. Zbl 0921.76176
Kuznetsov, A. V.
1997
Optimal control of the heat storage in a porous slab. Zbl 0918.73379
Kuznetsov, A. V.
1997
Ergodicity and stability of non-stationary queueing system. Zbl 1050.60075
Andreev, D. B.; Elesin, M. A.; Krylov, E. A.; Kuznetsov, A. V.; Zeifman, A. I.
2003
Analytical comparison between Nixon-Logvinenko’s and Jung-Brown’s theories of slow neurofilament transport in axons. Zbl 1309.92031
Kuznetsov, I. A.; Kuznetsov, A. V.
2013
Effect of turbulence on forced convection in a composite tube partly filled with a porous medium. Zbl 1145.76428
Kuznetsov, A. V.
2004
Modeling neuropeptide transport in various types of nerve terminals containing en passant boutons. Zbl 1315.92017
Kuznetsov, I. A.; Kuznetsov, A. V.
2015
Band structure and thermodynamic potentials. Zbl 1282.82040
Kuznetsov, A. V.; Karpenko, B. V.; Dyakin, V. V.
2012
Investigation of the onset of bioconvection in a suspension of oxytactic microorganisms subjected to high-frequency vertical vibration. Zbl 1109.76071
Kuznetsov, A. V.
2006
Influence of thermal dispersion on forced convection in a composite parallel-plate channel. Zbl 1172.76371
Kuznetsov, A. V.
2001
Time-dependent interaction of two fluid flows separated by a semi- infinite non-rigid plate. Zbl 0824.76011
Kuznetsov, A. V.; Kuznetsov, S. A.
1994
A bioheat transfer model: Forced convection in a channel occupied by a porous medium with counterflow. Zbl 1151.80310
Nield, D. A.; Kuznetsov, A. V.
2008
The method of separation of variables for solving equations describing molecular-motor-assisted transport of intracellular particles in a dendrite or axon. Zbl 1152.34303
Kuznetsov, A. V.; Avramenko, A. A.
2008
Information storage constructed with unreliable components. Zbl 0328.68051
Kuznetsov, A. V.
1973
Investigation of the effect of transverse thermal dispersion on forced convection in porous media. Zbl 0967.76086
Kuznetsov, A. V.
2000
The third type of fermion mixing in the lepton and quark interactions with leptoquarks. Zbl 1247.81635
Kuznetsov, A. V.; Mikheev, N. V.; Serghienko, A. V.
2012
On a problem on the non-stationary outflow of a liquid from a channel. Zbl 0543.76098
Kuznetsov, A. V.; Troepol’skaya, O. V.
1983
Investigation of a laminar flow of a non-Newtonian fluid in a helical pipe. Zbl 1195.76013
Cheng, L.; Kuznetsov, A. V.
2005
Comparison of active transport in neuronal axons and dendrites. Zbl 1204.92021
Kuznetsov, A. V.
2010
Effects of pore scale on the macroscopic properties of natural convection in porous media. Zbl 1460.76748
Gasow, Stefan; Lin, Zhe; Zhang, Hao Chun; Kuznetsov, Andrey V.; Avila, Marc; Jin, Yan
2020
How the formation of amyloid plaques and neurofibrillary tangles may be related: a mathematical modelling study. Zbl 1402.92099
Kuznetsov, I. A.; Kuznetsov, A. V.
2018
Simulating the effect of formation of amyloid plaques on aggregation of tau protein. Zbl 1425.92065
Kuznetsov, I. A.; Kuznetsov, A. V.
2018
A model of the joint motion of agents with a three-level hierarchy based on a cellular automaton. Zbl 1410.68357
Kuznetsov, A. V.
2017
A simplified combat model based on a cellular automaton. Zbl 1384.93019
Kuznetsov, A. V.
2017
Simulating tubulin-associated unit transport in an axon: using bootstrapping for estimating confidence intervals of best-fit parameter values obtained from indirect experimental data. Zbl 1404.92055
Kuznetsov, I. A.; Kuznetsov, A. V.
2017
What mechanisms of tau protein transport could be responsible for the inverted tau concentration gradient in degenerating axons? Zbl 1400.92267
Kuznetsov, I. A.; Kuznetsov, A. V.
2017
Utilization of the bootstrap method for determining confidence intervals of parameters for a model of MAP1B protein transport in axons. Zbl 1370.92017
Kuznetsov, I. A.; Kuznetsov, A. V.
2017
A comparison between the diffusion-reaction and slow axonal transport models for predicting tau distribution along an axon. Zbl 1325.92020
Kuznetsov, I. A.; Kuznetsov, A. V.
2015
Modeling neuropeptide transport in various types of nerve terminals containing en passant boutons. Zbl 1315.92017
Kuznetsov, I. A.; Kuznetsov, A. V.
2015
What tau distribution maximizes fast axonal transport toward the axonal synapse? Zbl 1315.92016
Kuznetsov, I. A.; Kuznetsov, A. V.
2014
The onset of bio-thermal convection induced by a combined effect of gyrotactic and oxytactic microorganisms. Zbl 1356.76098
Kuznetsov, A. V.
2013
Analytical comparison between Nixon-Logvinenko’s and Jung-Brown’s theories of slow neurofilament transport in axons. Zbl 1309.92031
Kuznetsov, I. A.; Kuznetsov, A. V.
2013
Nanofluid bioconvection: interaction of microorganisms oxytactic upswimming, nanoparticle distribution, and heating/cooling from below. Zbl 1291.76374
Kuznetsov, A. V.
2012
An exact solution describing slow axonal transport of cytoskeletal elements: the effect of a finite half-life. Zbl 1371.92035
Kuznetsov, A. V.
2012
Band structure and thermodynamic potentials. Zbl 1282.82040
Kuznetsov, A. V.; Karpenko, B. V.; Dyakin, V. V.
2012
The third type of fermion mixing in the lepton and quark interactions with leptoquarks. Zbl 1247.81635
Kuznetsov, A. V.; Mikheev, N. V.; Serghienko, A. V.
2012
The Cheng-Minkowycz problem for the double-diffusive natural convective boundary layer flow in a porous medium saturated by a nanofluid. Zbl 1205.80039
Nield, D. A.; Kuznetsov, A. V.
2011
Non-oscillatory and oscillatory nanofluid bio-thermal convection in a horizontal layer of finite depth. Zbl 1258.76083
Kuznetsov, A. V.
2011
The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium with horizontal throughflow. Zbl 1231.80024
Nield, D. A.; Kuznetsov, A. V.
2011
The onset of convection in a tridisperse porous medium. Zbl 1219.80065
Kuznetsov, A. V.; Nield, D. A.
2011
Nanofluid bio-thermal convection: simultaneous effects of gyrotactic and oxytactic micro-organisms. Zbl 1456.76049
Kuznetsov, A. V.
2011
A three-velocity three-temperature model for a tridisperse porous medium: Forced convection in a channel. Zbl 1217.80071
Nield, D. A.; Kuznetsov, A. V.
2011
The Cheng-Minkowycz problem for natural convection about a vertical plate embedded in a tridisperse porous medium. Zbl 1218.80004
Nield, D. A.; Kuznetsov, A. V.
2011
Investigation of the role of diffusivity on spreading, rate, and merging of the bell-shaped waves in slow axonal transport. Zbl 1219.92010
Kuznetsov, A. V.; Avramenko, A. A.; Blinov, D. G.
2011
The exact electron propagator in a magnetic field as the sum over Landau levels on a basis of the Dirac equation exact solutions. Zbl 1247.81599
Kuznetsov, A. V.; Okrugin, A. A.
2011
Modeling bidirectional transport of quantum dot nanoparticles in membrane nanotubes. Zbl 1218.92008
Kuznetsov, A. V.
2011
The onset of convection in a horizontal nanofluid layer of finite depth. Zbl 1193.76052
Nield, D. A.; Kuznetsov, A. V.
2010
Modeling of particle trajectories in an electrostatically charged channel. Zbl 1188.76176
Wu, Mengbai; Kuznetsov, Andrey V.; Jasper, Warren J.
2010
Forced convection in cellular porous materials: effect of temperature-dependent conductivity arising from radiative transfer. Zbl 1191.80025
Nield, D. A.; Kuznetsov, A. V.
2010
Effect of vesicle traps on traffic jam formation in fast axonal transport. Zbl 1194.92012
Kuznetsov, A. V.
2010
Forced convection in a channel partly occupied by a bidisperse porous medium: asymmetric case. Zbl 1255.76113
Kuznetsov, A. V.; Nield, D. A.
2010
Comparison of active transport in neuronal axons and dendrites. Zbl 1204.92021
Kuznetsov, A. V.
2010
The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. Zbl 1177.80046
Nield, D. A.; Kuznetsov, A. V.
2009
Thermal instability in a porous medium layer saturated by a nanofluid. Zbl 1177.80047
Nield, D. A.; Kuznetsov, A. V.
2009
Instability of a slip flow in a curved channel formed by two concentric cylindrical surfaces. Zbl 1176.76041
Avramenko, A. A.; Kuznetsov, A. V.
2009
A macroscopic model of traffic jams in axons. Zbl 1160.92009
Kuznetsov, A. V.; Avramenko, A. A.
2009
Natural convection about a vertical plate embedded in a bidisperse porous medium. Zbl 1141.76063
Nield, D. A.; Kuznetsov, A. V.
2008
Modeling traffic jams in intracellular transport in axons. Zbl 1149.92313
Kuznetsov, A. V.; Hooman, K.
2008
The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium: Moderate heterogeneity. Zbl 1144.80340
Nield, D. A.; Kuznetsov, A. V.
2008
Thermal in vivo skin electroporation pore development and charged macromolecule transdermal delivery: A numerical study of the influence of chemically enhanced lower lipid phase transition temperatures. Zbl 1140.80310
Becker, S. M.; Kuznetsov, A. V.
2008
A bioheat transfer model: Forced convection in a channel occupied by a porous medium with counterflow. Zbl 1151.80310
Nield, D. A.; Kuznetsov, A. V.
2008
The method of separation of variables for solving equations describing molecular-motor-assisted transport of intracellular particles in a dendrite or axon. Zbl 1152.34303
Kuznetsov, A. V.; Avramenko, A. A.
2008
The effect of combined vertical and horizontal heterogeneity on the onset of convection in a bidisperse porous medium. Zbl 1113.80012
Nield, D. A.; Kuznetsov, A. V.
2007
The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium. Zbl 1124.80352
Nield, D. A.; Kuznetsov, A. V.
2007
On the behavior of a variant of Hofstadter’s $$Q$$-sequence. Zbl 1141.05303
Balamohan, B.; Kuznetsov, A.; Tanny, Stephen
2007
Thermal damage reduction associated with in vivo skin electroporation: a numerical investigation justifying aggressive pre-cooling. Zbl 1104.80003
Becker, S. M.; Kuznetsov, A. V.
2007
The onset of convection in a bidisperse porous medium. Zbl 1189.76205
Nield, D. A.; Kuznetsov, A. V.
2006
The onset of thermo-bioconvection in a shallow fluid saturated porous layer heated from below in a suspension of oxytactic microorganisms. Zbl 1085.76019
Kuznetsov, A. V.
2006
Investigation of the onset of bioconvection in a suspension of oxytactic microorganisms subjected to high-frequency vertical vibration. Zbl 1109.76071
Kuznetsov, A. V.
2006
Investigation of the onset of thermo-bioconvection in a suspension of oxytactic microorganisms in a shallow fluid layer heated from below. Zbl 1112.76515
Kuznetsov, A. V.
2005
Settling of bidispersed small solid particles in a dilute suspension containing gyrotactic micro-organisms. Zbl 1211.76081
Geng, P.; Kuznetsov, A. V.
2005
Thermally developing forced convection in a channel occupied by a porous medium saturated by a non-Newtonian fluid. Zbl 1189.76501
Nield, D. A.; Kuznetsov, A. V.
2005
On the propagation of surface electromagnetic waves analogous to Rayleigh waves in the case of Leontovich boundary conditions. Zbl 1092.35108
Babich, V. M.; Kuznetsov, A. V.
2005
Forced convective cooling via acoustic streaming in a narrow channel established by a vibrating piezoelectric bimorph. Zbl 1190.76163
Wan, Qun; Wu, Tao; Chastain, John; Roberts, William L.; Kuznetsov, Andrey V.; Ro, Paul I.
2005
Investigation of laminar flow in a helical pipe filled with a fluid-saturated porous medium. Zbl 1060.76114
Cheng, L.; Kuznetsov, A. V.
2005
Investigation of a laminar flow of a non-Newtonian fluid in a helical pipe. Zbl 1195.76013
Cheng, L.; Kuznetsov, A. V.
2005
Thermally developing forced convection in a porous medium: parallel-plate channel or circular tube with isothermal walls. Zbl 1073.76063
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2004
Forced convection in a bi-disperse porous medium channel: a conjugate problem. Zbl 1098.76616
Nield, D. A.; Kuznetsov, A. V.
2004
Forced convection in a helical pipe filled with a saturated porous medium. Zbl 1098.76612
Nield, D. A.; Kuznetsov, A. V.
2004
Numerical modeling of a falling bioconvection plume in a porous medium. Zbl 1089.76068
Becker, S. M.; Kuznetsov, A. V.; Avramenko, A. A.
2004
Effect of turbulence on forced convection in a composite tube partly filled with a porous medium. Zbl 1145.76428
Kuznetsov, A. V.
2004
Thermally developing forced convection in a porous medium: Parallel plate channel with walls at uniform temperature, with axial conduction and viscous dissipation effects. Zbl 1038.76041
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2003
Thermally developing forced convection in a porous medium: Parallel-plate channel or circular tube with walls at constant heat flux. Zbl 1057.76054
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2003
Effects of temperature-dependent viscosity in forced convection in a porous medium: Layered-medium analysis. Zbl 1058.76069
Nield, D. A.; Kuznetsov, A. V.
2003
Development of low-diffusion flux-splitting methods for dense gas-solid flows. Zbl 1047.76551
Mao, Deming; Edwards, Jack R.; Kuznetsov, Andrey V.; Srivastava, Ravi K.
2003
Boundary-layer analysis of forced convection with a plate and porous substrate. Zbl 1064.76098
Nield, D. A.; Kuznetsov, A. V.
2003
Numerical study of the efficiency of acoustic streaming for enhancing heat transfer between two parallel beams. Zbl 1113.74413
Wan, Qun; Kuznetsov, A. V.
2003
Ergodicity and stability of non-stationary queueing system. Zbl 1050.60075
Andreev, D. B.; Elesin, M. A.; Krylov, E. A.; Kuznetsov, A. V.; Zeifman, A. I.
2003
Effect of local thermal non-equilibrium on thermally developing forced convection in a porous medium. Zbl 1032.76676
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2002
On ergodicity and stability estimates for some nonhomogeneous Markov chains. Zbl 1015.60065
Andreev, D. B.; Elesin, M. A.; Krylov, E. A.; Kuznetsov, A. V.; Zeifman, A. I.
2002
Symmetry of turbulent boundary-layer flows: Investigation of different eddy viscosity models. Zbl 0997.76033
Avramenko, A. A.; Kobzar, S. G.; Shevchuk, I. V.; Kuznetsov, A. V.; Iwanisov, L. T.
2001
The interaction of thermal nonequilibrium and heterogeneous conductivity effects in forced convection in layered porous channels. Zbl 1091.76561
Nield, D. A.; Kuznetsov, A. V.
2001
Effects of heterogeneity in forced convection in a porous medium: Parallel-plate channel, asymmetric property variation, and asymmetric heating. Zbl 1033.76056
Nield, D. A.; Kuznetsov, A. V.
2001
Influence of thermal dispersion on forced convection in a composite parallel-plate channel. Zbl 1172.76371
Kuznetsov, A. V.
2001
Analytical studies of forced convection in partly porous configurations. Zbl 1107.76388
Kuznetsov, A. V.
2000
Effects of heterogeneity in forced convection in a porous medium: parallel plate channel or circular duct. Zbl 1064.76611
Nield, D. A.; Kuznetsov, A. V.
2000
Fluid flow and heat transfer analysis of Couette flow in a composite duct. Zbl 0963.76087
Kuznetsov, A. V.
2000
Numerical simulation of the effect of thermal dispersion on forced convection in a circular duct partly filled with a Brinkman-Forchheimer porous medium. Zbl 0989.76080
Kuznetsov, A. V.; Xiong, M.
2000
Investigation of the effect of transverse thermal dispersion on forced convection in porous media. Zbl 0967.76086
Kuznetsov, A. V.
2000
Local thermal nonequilibrium effects in forced convection in a porous medium channel: A conjugate problem. Zbl 0947.76078
Nield, D. A.; Kuznetsov, A. V.
1999
Fluid mechanics and heat transfer in the interface region between a porous medium and a fluid layer: A boundary layer solution. Zbl 0943.76075
Kuznetsov, A. V.
1999
Forced convective heat transfer in a parallel-plate channel with a porous core. Zbl 0963.76081
Kuznetsov, A. V.
1999
Analytical investigation of Couette flow in a composite channel partially filled with a porous medium and partially with a clear fluid. Zbl 0940.76527
Kuznetsov, A. V.
1998
Analytical study of fluid flow and heat transfer during forced convection in a composite channel partly filled with a Brinkman-Forchheimer porous medium. Zbl 0937.76084
Kuznetsov, A. V.
1998
Analytical investigation of heat transfer in Couette flow through a porous medium utilizing the Brinkman-Forchheimer-extended Darcy model. Zbl 0914.76084
Kuznetsov, A. V.
1998
A perturbation solution for heating a rectangular sensible heat storage packed bed with a constant temperature at the walls. Zbl 0925.76728
Kuznetsov, A. V.
1997
Investigation of the coupled heat transfer, fluid flow and the solute transport during the strip casting process. Zbl 0921.76176
Kuznetsov, A. V.
1997
Optimal control of the heat storage in a porous slab. Zbl 0918.73379
Kuznetsov, A. V.
1997
Analytical investigation of the fluid flow in the interface region between a porous medium and a clear fluid in channels partially filled with a porous medium. Zbl 0881.76093
Kuznetsov, A. V.
1996
Stochastic modeling of heating of a one-dimensional porous slab by a flow of incompressible fluid. Zbl 0858.76083
Kuznetsov, A. V.
1996
Investigation of a non-thermal equilibrium flow of an incompressible fluid in a cylindrical tube filled with porous media. Zbl 0889.76085
Kuznetsov, A. V.
1996
An analytical solution for heating a two-dimensional porous packed bed by a non-thermal equilibrium fluid flow. Zbl 0846.76091
Kuznetsov, A. V.
1995
Development and investigation of three-phase model of the mushy zone for analysis of porosity formation in solidifying castings. Zbl 0925.76867
Kuznetsov, A. V.; Vafai, K.
1995
An investigation of a wave of temperature difference between solid and fluid phases in a porous packed bed. Zbl 0900.76682
Kuznetsov, A. V.
1994
Time-dependent interaction of two fluid flows separated by a semi- infinite non-rigid plate. Zbl 0824.76011
Kuznetsov, A. V.; Kuznetsov, S. A.
1994
On the propositional calculus of intuitionistic provability. Zbl 0605.03006
Kuznetsov, A. V.
1985
Provability-intuitionistic propositional calculus. Zbl 0584.03011
Kuznetsov, A. V.
1985
On a problem on the non-stationary outflow of a liquid from a channel. Zbl 0543.76098
Kuznetsov, A. V.; Troepol&rsquo;skaya, O. V.
1983
Coding in a memory with defective cells. Zbl 0311.94012
Kuznetsov, A. V.; Tsybakov, B. S.
1974
...and 1 more Documents
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#### Cited by 96 Authors

 8 Kuznetsov, Andrey V. 7 Kuznetsov, Ivan A. 3 Sheremet, Mikhail Aleksandrovich 2 Avramenko, Andriy A. 2 Miklavcic, Damijan 2 Pavšelj, Nataša 2 Pop, Ioan 2 Shevchuk, Igor V. 2 Tyrinov, Andrii I. 1 Abraham, John P. 1 Adeleke, Najeem 1 Adewumi, Michael A. 1 Aktas, Murat K. 1 Anbuchezhian, N. 1 Basiriparsa, A. 1 Becker, Sid 1 Bischof, Jared 1 Callejas-Molina, R. A. 1 Castro-Gonzalez, Francisco J. 1 Charru, François 1 Chastain, John 1 Chelikani, S. 1 Dallon, John C. 1 Danesh-Yazdi, Amir H. 1 Davalos, Rafael V. 1 Davidson, Jane H. 1 De Wilde, Juray 1 Etienne-Manneville, Sandrine 1 Farouk, Bakhtier 1 Ferdows, Mohammad 1 Filobello-Nino, Uriel A. 1 Garrick, Sean C. 1 Giraldo, Mauricio 1 Goldstein, R. J. 1 Hajmohammadi, M. R. 1 Heberlein, J. V. R. 1 Herrera-May, A. L. 1 Heynderickx, Geraldine J. 1 Ibele, W. E. 1 Ityokumbul, Thaddeus 1 Jiang, Linfeng 1 Jiji, Latif M. 1 Kocak, Huseyin 1 Kortshagen, U. 1 Kravchuk, Alexander V. 1 Kuehn, T. H. 1 Kulacki, Francis A. 1 Leduc, Cécile 1 Lee, Robert H. 1 Leont’ev, N. E. 1 Li, Zhixiong 1 Lin, Yiqiang 1 Liu, Shuang 1 Luchini, Paolo 1 Marin, Guy B. 1 Minkowycz, W. J. 1 Momoniat, Ebrahim 1 Nguyen-Quang, Tri 1 Nieto, César 1 Nourazar, S. Salman 1 Ojjela, Odelu 1 Ozgumus, Turkuler 1 Ozis, Turgut 1 Patankar, Suhas V. 1 Portet, Stéphanie 1 Power, Henry 1 Rashidi, Mohammad Mehdi 1 Reddy, G. Janardhan 1 Ro, Paul I. 1 Roberts, William L. 1 Roşca, Alin V. 1 Roşca, Natalia C. 1 Rubinsky, Boris 1 Ruiz-Gomez, R. 1 Sandoval-Hernandez, Mario A. 1 Sarmiento-Reyes, Arturo 1 Shehzad, Sabir Ali 1 Shen, Yiqing 1 Shevchuk, Vladimir I. 1 Simon, T. W. 1 Sparrow, Ephraim M. 1 Strykowski, Paul J. 1 Sun, Chao 1 Syed, Christopher K. 1 Tamma, Kumar K. 1 Umavathi, Jawali C. 1 Vázquez-Leal, Héctor 1 Vierendeels, Jan 1 Wan, Qun 1 Wang, Chang-Yi 1 Wu, Tao 1 Yang, Vigor 1 Yıldırım, Ahmet 1 Zha, Gecheng 1 Zong, Nan 1 Zorec, Barbara
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#### Cited in 22 Serials

 8 International Journal of Heat and Mass Transfer 7 Mathematical Biosciences 3 Journal of Theoretical Biology 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal of Computational Physics 2 Meccanica 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Mathematical Problems in Engineering 2 European Journal of Mechanics. B. Fluids 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Fluid Dynamics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Applied Mathematics and Computation 1 Numerical Methods for Partial Differential Equations 1 Physics of Fluids 1 International Journal of Computational Fluid Dynamics 1 Discrete Dynamics in Nature and Society 1 Flow, Turbulence and Combustion 1 Journal of Applied Mathematics
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#### Cited in 11 Fields

 25 Fluid mechanics (76-XX) 17 Biology and other natural sciences (92-XX) 11 Classical thermodynamics, heat transfer (80-XX) 4 Partial differential equations (35-XX) 3 Numerical analysis (65-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX)