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Bobylev, Alexandre Vasiljévitch

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Author ID: bobylev.alexandre-vasiljevitch Recent zbMATH articles by "Bobylev, Alexandre Vasiljévitch"
Published as: Bobylev, A. V.; Bobylev, Alexander V.; Bobylev, Alexander; Bobylev, Alexandre V.; Bobylëv, A. V.; Bobylev, A.; Bobylev, Alexandre Vasiljévitch
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Serials

30 Journal of Statistical Physics
8 Kinetic and Related Models
5 Transport Theory and Statistical Physics
4 Matematicheskoe Modelirovanie
3 Communications in Mathematical Physics
3 Applied Mathematics Letters
3 Physics of Fluids
3 European Journal of Mechanics. B. Fluids
2 Journal of Mathematical Physics
2 European Journal of Mechanics. B. Fluids
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Journal of Computational Physics
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Soviet Scientific Reviews. Section C
1 Theoretical and Mathematical Physics
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 SIAM Journal on Numerical Analysis
1 Soviet Mathematics. Doklady
1 Acta Applicandae Mathematicae
1 Forum Mathematicum
1 Journal of Physics A: Mathematical and General
1 SIAM Journal on Applied Mathematics
1 Soviet Physics. Doklady
1 U.S.S.R. Computational Mathematics and Mathematical Physics
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Continuum Mechanics and Thermodynamics
1 Journal of Computer and Systems Sciences International
1 Institut Prikladnoĭ Matematiki Imeni M. V. Keldysha Rossiĭskoĭ Akademii Nauk. Moskva. Preprint
1 Rivista di Matematica della Università di Parma. Serie V
1 Mathematical Modeling and Computational Experiment
1 Discrete and Continuous Dynamical Systems
1 Rivista di Matematica della Università di Parma. Serie 6
1 Journal of Nonlinear Mathematical Physics
1 Rivista di Matematica della Università di Parma. Serie 7
1 Communications in Mathematical Sciences
1 Rivista di Matematica della Università di Parma. Serie 8
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 De Gruyter Series in Applied and Numerical Mathematics

Publications by Year

Citations contained in zbMATH Open

85 Publications have been cited 1,041 times in 545 Documents Cited by Year
The theory of the nonlinear spatially uniform Boltzmann equation for Maxwell molecules. Zbl 0850.76619
Bobylev, A. V.
89
1988
On some properties of kinetic and hydrodynamic equations for inelastic interactions. Zbl 1056.76071
Bobylev, A. V.; Carrillo, J. A.; Gamba, I. M.
84
2000
Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions. Zbl 1097.82021
Bobylev, A. V.; Gamba, I. M.; Panferov, V. A.
57
2004
Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions. Zbl 1134.82324
Bobylev, A. V.; Cercignani, C.
45
2003
A consistency result for a discrete-velocity model of the Boltzmann equation. Zbl 0895.76083
Palczewski, Andrzej; Schneider, Jacques; Bobylev, Alexandre V.
42
1997
Fast deterministic method of solving the Boltzmann equation for hard spheres. Zbl 0965.76059
Bobylev, A. V.; Rjasanow, S.
36
1999
Moment inequalities for the Boltzmann equation and applications to spatially homogneous problems. Zbl 0979.82049
Bobylev, A. V.
36
1997
Difference scheme for the Boltzmann equation based on the fast Fourier transform. Zbl 0881.76061
Bobylev, A.; Rjasanow, S.
34
1997
Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation. Zbl 1027.76649
Sone, Yoshio; Aoki, Kazuo; Takata, Shigeru; Sugimoto, Hiroshi; Bobylev, A. V.
30
1996
Proof of an asymptotic property of self-similar solutions of the Boltzmann equation for granular materials. Zbl 1119.82318
Bobylev, A. V.; Cercignani, C.; Toscani, G.
29
2003
On approximation of the Boltzmann equation by discrete velocity models. Zbl 0834.76078
Bobylev, Alexandre Vasiljévitch; Palczewski, Andrzej; Schneider, Jacques
27
1995
Instabilities in the Chapman-Enskog expansion and hyperbolic Burnett equations. Zbl 1134.82031
Bobylev, A. V.
26
2006
Boltzmann equations for mixtures of Maxwell gases: exact solutions and power like tails. Zbl 1134.82032
Bobylev, A. V.; Gamba, I. M.
22
2006
From particle systems to the Landau equation: a consistency result. Zbl 1273.35281
Bobylev, A. V.; Pulvirenti, M.; Saffirio, C.
22
2013
Moment equations for a granular material in a thermal bath. Zbl 1001.82092
Bobylev, A. V.; Cercignani, C.
22
2002
On the self-similar asymptotics for generalized nonlinear kinetic Maxwell models. Zbl 1192.35126
Bobylev, A. V.; Cercignani, C.; Gamba, I. M.
22
2009
Quasistationary hydrodynamics for the Boltzmann equation. Zbl 1081.82612
Bobylëv, A. V.
18
1995
Self-similar solutions of the Boltzmann equation and their applications. Zbl 1001.82091
Bobylev, A. V.; Cercignani, C.
18
2002
Fourier transform method in the theory of the Boltzmann equation for Maxwellian molecules. Zbl 0361.76077
Bobylev, A. V.
15
1975
On the rate of entropy production for the Boltzmann equation. Zbl 0958.82040
Bobylev, Alexander V.; Cercignani, Carlo
14
1999
The inverse Laplace transform of some analytic functions with an application to the eternal solutions of the Boltzmann equation. Zbl 1025.44002
Bobylev, A. V.; Cercignani, C.
14
2002
Exact solutions of the nonlinear Boltzmann equation and the theory of relaxation of a Maxwellian gas. Zbl 0565.76074
Bobylev, A. V.
14
1984
Exact eternal solutions of the Boltzmann equation. Zbl 1001.82090
Bobylev, A. V.; Cercignani, C.
14
2002
Generalized Burnett hydrodynamics. Zbl 1144.82057
Bobylev, A. V.
13
2008
Discrete velocity models without nonphysical invariants. Zbl 0958.82041
Bobylev, Alexander V.; Cercignani, Carlo
12
1999
Numerical solution of the Boltzmann equation using a fully conservative difference scheme based on the fast Fourier transform. Zbl 1017.82042
Bobylev, A. V.; Rjasanow, S.
12
2000
On group invariant solutions of the Boltzmann equation. Zbl 0867.76077
Bobylev, A. V.; Caraffini, G. L.; Spiga, G.
12
1996
Exact solutions of the Boltzmann equation. Zbl 0361.76082
Bobylev, A. V.
11
1975
On the generalization of the Boltzmann \(H\)-theorem for spatially homogeneous Maxwell gas. Zbl 0825.76713
Bobylev, A. V.; Toscani, G.
10
1992
A general consistent BGK model for gas mixtures. Zbl 1405.76042
Bobylev, Alexander V.; Bisi, Marzia; Groppi, Maria; Spiga, Giampiero; Potapenko, Irina F.
10
2018
Monte Carlo methods and their analysis for Coulomb collisions in multicomponent plasmas. Zbl 1349.82071
Bobylev, A. V.; Potapenko, I. F.
10
2013
Generalized kinetic Maxwell type models of granular gases. Zbl 1298.76209
Bobylev, A. V.; Cercignani, C.; Gamba, I. M.
9
2008
The Boltzmann equation and the group transformations. Zbl 0782.35078
Bobylev, A. V.
9
1993
Discrete velocity models for mixtures. Zbl 0917.76075
Bobylev, Alexander V.; Cercignani, Carlo
9
1998
Construction of discrete kinetic models with given invariants. Zbl 1214.82087
Bobylev, A. V.; Vinerean, M. C.
9
2008
Weak shock waves for the general discrete velocity model of the Boltzmann equation. Zbl 1144.76051
Bernhoff, Niclas; Bobylev, Alexander
8
2007
Discrete velocity models and dynamical systems. Zbl 1055.82018
Bobylev, A. V.; Bernhoff, N.
8
2003
Entropy inequalities for evaporation/condensation problem in rarefied gas dynamics. Zbl 0990.82022
Bobylev, A. V.; Grzhibovskis, R.; Heintz, A.
8
2001
Boltzmann equation and hydrodynamics at the Burnett level. Zbl 1247.35195
Bobylev, Alexander; Windfäll, Åsa
8
2012
Exact solutions of discrete kinetic models and stationary problems for the plane Broadwell model. Zbl 0855.76064
Bobylev, A. V.
7
1996
The error of the splitting scheme for solving evolutionary equations. Zbl 0976.65081
Bobylev, A. V.; Ohwada, T.
7
2001
On a class of exact two-dimensional stationary solutions for the Broadwell model of the Boltzmann equation. Zbl 0844.76084
Bobylev, A. V.; Spiga, G.
7
1994
Intenconnectivity of symmetry properties for equations of dynamics, kinetic theory of gases, and hydrodynamics. Zbl 0974.76580
Bobylev, A. V.; Ibragimov, N. Kh.
6
1989
On Vlasov-Manev equations. I: Foundations, properties, and nonglobal existence. Zbl 0917.45007
Bobylev, A. V.; Dukes, P.; Illner, R.; Victory, H. D. jun.
6
1997
Kinetic equations of the Landau type as a model of the Boltzmann equation and completely conservative difference schemes. Zbl 0493.76078
Bobylev, A. V.; Potapenko, I. F.; Chuyanov, V. A.
6
1980
Upper Maxwellian bounds for the Boltzmann equation with pseudo-Maxwell molecules. Zbl 1353.76075
Bobylev, Alexander V.; Gamba, Irene M.
6
2017
Implicit and iterative methods for the Boltzmann equation. Zbl 0854.76077
Bobylev, A. V.; Struckmeier, J.
5
1996
On some properties of the Landau kinetic equation. Zbl 1333.35151
Bobylev, Alexander; Gamba, Irene; Potapenko, Irina
5
2015
From the Liouville equation to the generalized Boltzmann equation for magnetotransport in the 2D Lorentz model. Zbl 0990.82021
Bobylev, A. V.; Hansen, Alex; Piasecki, J.; Hauge, E. H.
5
2001
On a model transport equation with inelastic scattering. Zbl 0907.76074
Bobylev, A. V.; Spiga, G.
5
1998
Discrete velocity models of the Boltzmann equation and conservation laws. Zbl 1186.82068
Bobylev, Alexander; Vinerean, Mirela; Windfäll, Åsa
5
2010
Two-dimensional half-space problems for the Broadwell discrete velocity model. Zbl 0880.76068
Bobylev, A. V.; Toscani, G.
5
1996
Shock wave structure for generalized Burnett equations. Zbl 1308.76157
Bobylev, A. V.; Bisi, M.; Cassinari, M. P.; Spiga, G.
5
2011
On some properties of linear and linearized Boltzmann collision operators for hard spheres. Zbl 1157.82369
Bobylev, A. V.; Mossberg, E.
5
2008
Deterministic and stochastic methods for nonlinear Landau-Fokker-Planck kinetic equations with applications to plasma physics. Zbl 1165.82021
Potapenko, I. F.; Bobylev, A. V.; Mossberg, E.
5
2008
Erratum on: On some properties of kinetic and hydrodynamic equations for inelastic interactions”. Zbl 1126.82323
Bobylev, A. V.; Carrillo, J. A.; Gamba, I. M.
4
2001
On the derivation of a high-velocity tail from the Boltzmann-Fokker-Planck equation for shear flow. Zbl 1159.82316
Acedo, L.; Santos, A.; Bobylev, A. V.
4
2002
On Vlasov-Manev equations. II: Local existence and uniqueness. Zbl 0938.45008
Illner, R.; Victory, H. D.; Dukes, P.; Bobylev, A. V.
4
1998
Qualitative analysis of the Navier-Stokes equations for evaporation-condensation problems. Zbl 1027.76672
Bobylev, A. V.; Østmo, S.; Ytrehus, T.
4
1996
Non-stationary two-dimensional potential flows by the Broadwell model equations. Zbl 0963.76075
Bobylev, Alexandre V.; Caraffini, Gian Luca; Spiga, Giampiero
3
2000
Symmetries of evolution equations with non-local operators and applications to the Boltzmann equation. Zbl 1173.76042
Bobylev, Alexander; Dorodnitsyn, Vladimir
3
2009
Approximate solutions to the problem of stationary shear flow of smooth granular materials. Zbl 1001.76108
Bobylev, Alexander V.; Groppi, Maria; Spiga, Giampiero
3
2002
A class of invariant solutions of the Boltzmann equation. Zbl 0358.45007
Bobylev, A. V.
3
1976
Numerical simulation of the stationary one-dimensional Boltzmann equation by particle methods. Zbl 0864.76082
Bobylev, A. V.; Struckmeier, J.
3
1996
On the rate of relaxation for the Landau kinetic equation and related models. Zbl 1377.35202
Bobylev, Alexander; Gamba, Irene M.; Zhang, Chenglong
3
2017
On the generalization of Strang’s splitting scheme. Zbl 0959.65073
Bobylev, A. V.; Ohwada, T.
2
1999
Construction and classification of discrete kinetic models without spurious invariants. Zbl 1143.82023
Bobylev, A. V.; Vinerean, M. C.
2
2007
Self-similar solutions of the Boltzmann equation for non-Maxwell molecules. Zbl 1034.82046
Bobylev, A. V.; Cercignani, C.
2
2002
Collision integrals for attractive potentials. Zbl 0964.82045
Bobylev, Alexander V.; Illner, Reinhard
2
1999
On stationary solutions to plane Broadwell model. Zbl 0815.35092
Bobylev, A. V.; Gabetta, E.; Pareschi, L.
2
1995
There is more to be learned from the Lorentz model. Zbl 0945.82554
Bobylev, A. V.; Maaø, Frank A.; Hansen, Alex; Hauge, E. H.
2
1997
Monte-Carlo method for two component plasmas. Zbl 1289.76077
Bobylev, A. V.; Potapenko, I. F.; Karpov, S. A.
2
2012
Group analysis of the generalized Burnett equations. Zbl 1436.35019
Bobylev, Alexander V.; Meleshko, Sergey V.
2
2020
Boltzmann equation and hydrodynamics beyond Navier-Stokes. Zbl 1470.76013
Bobylev, A. V.
2
2018
Relationships between the symmetry properties of the equations of gas kinetics and hydrodynamics. Zbl 1039.82507
Bobylëv, A. V.; Ibragimov, N. Kh.
1
1993
Kinetic modeling of economic games with large number of participants. Zbl 1216.91020
Bobylev, Alexander; Windfäll, Åsa
1
2011
Exact and asymptotic stationary solutions of the semicontinuous Boltzmann equation. Zbl 0855.76065
Bobylev, A. V.; Spiga, G.
1
1996
DSMC modeling of a single hot spot evolution using the Landau-Fokker-Planck equation. Zbl 1307.82025
Bobylev, Alexander; Brantov, Andrei; Bychenkov, Valerii; Karpov, Stanislav; Potapenko, Irina
1
2014
On the maximum principle for discrete models of the Boltzmann equation and on the connection between the direct and inverse collision integrals of this equation. Zbl 0372.35072
Bobylev, A. V.; Vedenjapin, V. V.
1
1977
Discrete kinetic models and conservation laws. Zbl 1232.82014
Bobylev, Alexander V.; Vinerean, Mirela C.
1
2006
On a boundary value problem for the plane Broadwell model. Exact solutions and numerical simulation. Zbl 0833.76066
Bobylev, A. V.; Gabetta, E.; Pareschi, L.
1
1995
Long wave asymptotics for the Vlasov-Poisson-Landau kinetic equation. Zbl 1419.82065
Bobylev, A. V.; Potapenko, I. F.
1
2019
Kinetic equations. Volume 1: Boltzmann equation, Maxwell models, and hydrodynamics beyond Navier-Stokes. Zbl 1460.35001
Bobylev, Alexander V.
1
2020
Self-similar asymptotics for a modified Maxwell-Boltzmann equation in systems subject to deformations. Zbl 1454.82032
Bobylev, Alexander; Nota, Alessia; Velázquez, Juan J. L.
1
2020
On group symmetries of the hydrodynamic equations for rarefied gas. Zbl 1476.35194
Bobylev, Alexander V.; Meleshko, Sergey V.
1
2021
On group symmetries of the hydrodynamic equations for rarefied gas. Zbl 1476.35194
Bobylev, Alexander V.; Meleshko, Sergey V.
1
2021
Group analysis of the generalized Burnett equations. Zbl 1436.35019
Bobylev, Alexander V.; Meleshko, Sergey V.
2
2020
Kinetic equations. Volume 1: Boltzmann equation, Maxwell models, and hydrodynamics beyond Navier-Stokes. Zbl 1460.35001
Bobylev, Alexander V.
1
2020
Self-similar asymptotics for a modified Maxwell-Boltzmann equation in systems subject to deformations. Zbl 1454.82032
Bobylev, Alexander; Nota, Alessia; Velázquez, Juan J. L.
1
2020
Long wave asymptotics for the Vlasov-Poisson-Landau kinetic equation. Zbl 1419.82065
Bobylev, A. V.; Potapenko, I. F.
1
2019
A general consistent BGK model for gas mixtures. Zbl 1405.76042
Bobylev, Alexander V.; Bisi, Marzia; Groppi, Maria; Spiga, Giampiero; Potapenko, Irina F.
10
2018
Boltzmann equation and hydrodynamics beyond Navier-Stokes. Zbl 1470.76013
Bobylev, A. V.
2
2018
Upper Maxwellian bounds for the Boltzmann equation with pseudo-Maxwell molecules. Zbl 1353.76075
Bobylev, Alexander V.; Gamba, Irene M.
6
2017
On the rate of relaxation for the Landau kinetic equation and related models. Zbl 1377.35202
Bobylev, Alexander; Gamba, Irene M.; Zhang, Chenglong
3
2017
On some properties of the Landau kinetic equation. Zbl 1333.35151
Bobylev, Alexander; Gamba, Irene; Potapenko, Irina
5
2015
DSMC modeling of a single hot spot evolution using the Landau-Fokker-Planck equation. Zbl 1307.82025
Bobylev, Alexander; Brantov, Andrei; Bychenkov, Valerii; Karpov, Stanislav; Potapenko, Irina
1
2014
From particle systems to the Landau equation: a consistency result. Zbl 1273.35281
Bobylev, A. V.; Pulvirenti, M.; Saffirio, C.
22
2013
Monte Carlo methods and their analysis for Coulomb collisions in multicomponent plasmas. Zbl 1349.82071
Bobylev, A. V.; Potapenko, I. F.
10
2013
Boltzmann equation and hydrodynamics at the Burnett level. Zbl 1247.35195
Bobylev, Alexander; Windfäll, Åsa
8
2012
Monte-Carlo method for two component plasmas. Zbl 1289.76077
Bobylev, A. V.; Potapenko, I. F.; Karpov, S. A.
2
2012
Shock wave structure for generalized Burnett equations. Zbl 1308.76157
Bobylev, A. V.; Bisi, M.; Cassinari, M. P.; Spiga, G.
5
2011
Kinetic modeling of economic games with large number of participants. Zbl 1216.91020
Bobylev, Alexander; Windfäll, Åsa
1
2011
Discrete velocity models of the Boltzmann equation and conservation laws. Zbl 1186.82068
Bobylev, Alexander; Vinerean, Mirela; Windfäll, Åsa
5
2010
On the self-similar asymptotics for generalized nonlinear kinetic Maxwell models. Zbl 1192.35126
Bobylev, A. V.; Cercignani, C.; Gamba, I. M.
22
2009
Symmetries of evolution equations with non-local operators and applications to the Boltzmann equation. Zbl 1173.76042
Bobylev, Alexander; Dorodnitsyn, Vladimir
3
2009
Generalized Burnett hydrodynamics. Zbl 1144.82057
Bobylev, A. V.
13
2008
Generalized kinetic Maxwell type models of granular gases. Zbl 1298.76209
Bobylev, A. V.; Cercignani, C.; Gamba, I. M.
9
2008
Construction of discrete kinetic models with given invariants. Zbl 1214.82087
Bobylev, A. V.; Vinerean, M. C.
9
2008
On some properties of linear and linearized Boltzmann collision operators for hard spheres. Zbl 1157.82369
Bobylev, A. V.; Mossberg, E.
5
2008
Deterministic and stochastic methods for nonlinear Landau-Fokker-Planck kinetic equations with applications to plasma physics. Zbl 1165.82021
Potapenko, I. F.; Bobylev, A. V.; Mossberg, E.
5
2008
Weak shock waves for the general discrete velocity model of the Boltzmann equation. Zbl 1144.76051
Bernhoff, Niclas; Bobylev, Alexander
8
2007
Construction and classification of discrete kinetic models without spurious invariants. Zbl 1143.82023
Bobylev, A. V.; Vinerean, M. C.
2
2007
Instabilities in the Chapman-Enskog expansion and hyperbolic Burnett equations. Zbl 1134.82031
Bobylev, A. V.
26
2006
Boltzmann equations for mixtures of Maxwell gases: exact solutions and power like tails. Zbl 1134.82032
Bobylev, A. V.; Gamba, I. M.
22
2006
Discrete kinetic models and conservation laws. Zbl 1232.82014
Bobylev, Alexander V.; Vinerean, Mirela C.
1
2006
Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions. Zbl 1097.82021
Bobylev, A. V.; Gamba, I. M.; Panferov, V. A.
57
2004
Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions. Zbl 1134.82324
Bobylev, A. V.; Cercignani, C.
45
2003
Proof of an asymptotic property of self-similar solutions of the Boltzmann equation for granular materials. Zbl 1119.82318
Bobylev, A. V.; Cercignani, C.; Toscani, G.
29
2003
Discrete velocity models and dynamical systems. Zbl 1055.82018
Bobylev, A. V.; Bernhoff, N.
8
2003
Moment equations for a granular material in a thermal bath. Zbl 1001.82092
Bobylev, A. V.; Cercignani, C.
22
2002
Self-similar solutions of the Boltzmann equation and their applications. Zbl 1001.82091
Bobylev, A. V.; Cercignani, C.
18
2002
The inverse Laplace transform of some analytic functions with an application to the eternal solutions of the Boltzmann equation. Zbl 1025.44002
Bobylev, A. V.; Cercignani, C.
14
2002
Exact eternal solutions of the Boltzmann equation. Zbl 1001.82090
Bobylev, A. V.; Cercignani, C.
14
2002
On the derivation of a high-velocity tail from the Boltzmann-Fokker-Planck equation for shear flow. Zbl 1159.82316
Acedo, L.; Santos, A.; Bobylev, A. V.
4
2002
Approximate solutions to the problem of stationary shear flow of smooth granular materials. Zbl 1001.76108
Bobylev, Alexander V.; Groppi, Maria; Spiga, Giampiero
3
2002
Self-similar solutions of the Boltzmann equation for non-Maxwell molecules. Zbl 1034.82046
Bobylev, A. V.; Cercignani, C.
2
2002
Entropy inequalities for evaporation/condensation problem in rarefied gas dynamics. Zbl 0990.82022
Bobylev, A. V.; Grzhibovskis, R.; Heintz, A.
8
2001
The error of the splitting scheme for solving evolutionary equations. Zbl 0976.65081
Bobylev, A. V.; Ohwada, T.
7
2001
From the Liouville equation to the generalized Boltzmann equation for magnetotransport in the 2D Lorentz model. Zbl 0990.82021
Bobylev, A. V.; Hansen, Alex; Piasecki, J.; Hauge, E. H.
5
2001
Erratum on: On some properties of kinetic and hydrodynamic equations for inelastic interactions”. Zbl 1126.82323
Bobylev, A. V.; Carrillo, J. A.; Gamba, I. M.
4
2001
On some properties of kinetic and hydrodynamic equations for inelastic interactions. Zbl 1056.76071
Bobylev, A. V.; Carrillo, J. A.; Gamba, I. M.
84
2000
Numerical solution of the Boltzmann equation using a fully conservative difference scheme based on the fast Fourier transform. Zbl 1017.82042
Bobylev, A. V.; Rjasanow, S.
12
2000
Non-stationary two-dimensional potential flows by the Broadwell model equations. Zbl 0963.76075
Bobylev, Alexandre V.; Caraffini, Gian Luca; Spiga, Giampiero
3
2000
Fast deterministic method of solving the Boltzmann equation for hard spheres. Zbl 0965.76059
Bobylev, A. V.; Rjasanow, S.
36
1999
On the rate of entropy production for the Boltzmann equation. Zbl 0958.82040
Bobylev, Alexander V.; Cercignani, Carlo
14
1999
Discrete velocity models without nonphysical invariants. Zbl 0958.82041
Bobylev, Alexander V.; Cercignani, Carlo
12
1999
On the generalization of Strang’s splitting scheme. Zbl 0959.65073
Bobylev, A. V.; Ohwada, T.
2
1999
Collision integrals for attractive potentials. Zbl 0964.82045
Bobylev, Alexander V.; Illner, Reinhard
2
1999
Discrete velocity models for mixtures. Zbl 0917.76075
Bobylev, Alexander V.; Cercignani, Carlo
9
1998
On a model transport equation with inelastic scattering. Zbl 0907.76074
Bobylev, A. V.; Spiga, G.
5
1998
On Vlasov-Manev equations. II: Local existence and uniqueness. Zbl 0938.45008
Illner, R.; Victory, H. D.; Dukes, P.; Bobylev, A. V.
4
1998
A consistency result for a discrete-velocity model of the Boltzmann equation. Zbl 0895.76083
Palczewski, Andrzej; Schneider, Jacques; Bobylev, Alexandre V.
42
1997
Moment inequalities for the Boltzmann equation and applications to spatially homogneous problems. Zbl 0979.82049
Bobylev, A. V.
36
1997
Difference scheme for the Boltzmann equation based on the fast Fourier transform. Zbl 0881.76061
Bobylev, A.; Rjasanow, S.
34
1997
On Vlasov-Manev equations. I: Foundations, properties, and nonglobal existence. Zbl 0917.45007
Bobylev, A. V.; Dukes, P.; Illner, R.; Victory, H. D. jun.
6
1997
There is more to be learned from the Lorentz model. Zbl 0945.82554
Bobylev, A. V.; Maaø, Frank A.; Hansen, Alex; Hauge, E. H.
2
1997
Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation. Zbl 1027.76649
Sone, Yoshio; Aoki, Kazuo; Takata, Shigeru; Sugimoto, Hiroshi; Bobylev, A. V.
30
1996
On group invariant solutions of the Boltzmann equation. Zbl 0867.76077
Bobylev, A. V.; Caraffini, G. L.; Spiga, G.
12
1996
Exact solutions of discrete kinetic models and stationary problems for the plane Broadwell model. Zbl 0855.76064
Bobylev, A. V.
7
1996
Implicit and iterative methods for the Boltzmann equation. Zbl 0854.76077
Bobylev, A. V.; Struckmeier, J.
5
1996
Two-dimensional half-space problems for the Broadwell discrete velocity model. Zbl 0880.76068
Bobylev, A. V.; Toscani, G.
5
1996
Qualitative analysis of the Navier-Stokes equations for evaporation-condensation problems. Zbl 1027.76672
Bobylev, A. V.; Østmo, S.; Ytrehus, T.
4
1996
Numerical simulation of the stationary one-dimensional Boltzmann equation by particle methods. Zbl 0864.76082
Bobylev, A. V.; Struckmeier, J.
3
1996
Exact and asymptotic stationary solutions of the semicontinuous Boltzmann equation. Zbl 0855.76065
Bobylev, A. V.; Spiga, G.
1
1996
On approximation of the Boltzmann equation by discrete velocity models. Zbl 0834.76078
Bobylev, Alexandre Vasiljévitch; Palczewski, Andrzej; Schneider, Jacques
27
1995
Quasistationary hydrodynamics for the Boltzmann equation. Zbl 1081.82612
Bobylëv, A. V.
18
1995
On stationary solutions to plane Broadwell model. Zbl 0815.35092
Bobylev, A. V.; Gabetta, E.; Pareschi, L.
2
1995
On a boundary value problem for the plane Broadwell model. Exact solutions and numerical simulation. Zbl 0833.76066
Bobylev, A. V.; Gabetta, E.; Pareschi, L.
1
1995
On a class of exact two-dimensional stationary solutions for the Broadwell model of the Boltzmann equation. Zbl 0844.76084
Bobylev, A. V.; Spiga, G.
7
1994
The Boltzmann equation and the group transformations. Zbl 0782.35078
Bobylev, A. V.
9
1993
Relationships between the symmetry properties of the equations of gas kinetics and hydrodynamics. Zbl 1039.82507
Bobylëv, A. V.; Ibragimov, N. Kh.
1
1993
On the generalization of the Boltzmann \(H\)-theorem for spatially homogeneous Maxwell gas. Zbl 0825.76713
Bobylev, A. V.; Toscani, G.
10
1992
Intenconnectivity of symmetry properties for equations of dynamics, kinetic theory of gases, and hydrodynamics. Zbl 0974.76580
Bobylev, A. V.; Ibragimov, N. Kh.
6
1989
The theory of the nonlinear spatially uniform Boltzmann equation for Maxwell molecules. Zbl 0850.76619
Bobylev, A. V.
89
1988
Exact solutions of the nonlinear Boltzmann equation and the theory of relaxation of a Maxwellian gas. Zbl 0565.76074
Bobylev, A. V.
14
1984
Kinetic equations of the Landau type as a model of the Boltzmann equation and completely conservative difference schemes. Zbl 0493.76078
Bobylev, A. V.; Potapenko, I. F.; Chuyanov, V. A.
6
1980
On the maximum principle for discrete models of the Boltzmann equation and on the connection between the direct and inverse collision integrals of this equation. Zbl 0372.35072
Bobylev, A. V.; Vedenjapin, V. V.
1
1977
A class of invariant solutions of the Boltzmann equation. Zbl 0358.45007
Bobylev, A. V.
3
1976
Fourier transform method in the theory of the Boltzmann equation for Maxwellian molecules. Zbl 0361.76077
Bobylev, A. V.
15
1975
Exact solutions of the Boltzmann equation. Zbl 0361.76082
Bobylev, A. V.
11
1975
all top 5

Cited by 561 Authors

30 Toscani, Giuseppe
25 Bobylev, Alexandre Vasiljévitch
23 Martínez Gamba, Irene
20 Mouhot, Clément
14 Bisi, Marzia
13 Aoki, Kazuo
12 Dimarco, Giacomo
11 Mischler, Stéphane
11 Morimoto, Yoshinori
11 Pareschi, Lorenzo
11 Spiga, Giampiero
10 Gabetta, Ester
10 Regazzini, Eugenio
9 Alonso, Ricardo J.
9 Carlen, Eric Anders
9 Desvillettes, Laurent
9 Takata, Shigeru
9 Wennberg, Bernt
9 Yang, Tong
8 Struchtrup, Henning
8 Velázquez, Juan J. L.
8 Xu, Chao-Jiang
7 Bernhoff, Niclas
7 Brull, Stephane
7 Carrillo de la Plata, José Antonio
7 Filbet, Francis
7 Lods, Bertrand
7 Özer, Teoman
7 Rjasanow, Sergej
7 Sone, Yoshio
7 Taguchi, Satoshi
6 Ansari, Alireza
6 Fournier, Nicolas G.
6 Loubère, Raphaël
6 Mieussens, Luc
6 Nota, Alessia
6 Slemrod, Marshall
6 Ukai, Seiji
5 Bassetti, Federico
5 Cai, Zhenning
5 Carvalho, Maria Conceição
5 Golse, François
5 Groppi, Maria
5 Haack, Jeffrey R.
5 Lemou, Mohammed
5 Lu, Xuguang
5 Martalò, Giorgio
5 Meng, Fei
5 Rana, Anirudh Singh
5 Strain, Robert M.
5 Torrilhon, Manuel
5 Vedenyapin, Victor V.
5 Wu, Lei
5 Zhang, Yonghao
4 Alexandre, Radjesvarane
4 Babovsky, Hans
4 Banasiak, Jacek
4 Briant, Marc
4 Cercignani, Carlo
4 Cho, Yong-Kum
4 Esposito, Raffaele
4 Guo, Yan
4 Ha, Seung-Yeal
4 Hauck, Cory D.
4 Hu, Jingwei
4 Jang, Jin Woo
4 Li, Haoguang
4 Marra, Rossana
4 Ohwada, Taku
4 Pavlović, Nataša
4 Potapenko, Irina F.
4 Pulvirenti, Ada
4 Rey, Thomas
4 Taskovic, Maja
4 Winter, Raphael
4 Yan, Bokai
4 Yoshida, Hiroaki
4 Yun, Seok-Bae
4 Zhang, Xianwen
3 Arkeryd, Leif O.
3 Caflisch, Russel E.
3 Cañizo, José Alfredo
3 Cordier, Stéphane
3 Crouseilles, Nicolas
3 Degond, Pierre
3 Dolera, Emanuele
3 Einav, Amit
3 Escobedo Martínez, Miguel
3 Furioli, Giulia
3 Galkin, V. S.
3 Grünfeld, Cecil Pompiliu
3 Hivert, Hélène
3 Ilyin, O. V.
3 James, Richard D.
3 Ladelli, Lucia
3 Matthes, Daniel
3 Meleshko, Sergey V.
3 Merino-Aceituno, Sara
3 Narski, Jacek
3 Nouri, Anne
...and 461 more Authors
all top 5

Cited in 132 Serials

76 Journal of Statistical Physics
56 Journal of Computational Physics
26 Kinetic and Related Models
21 Archive for Rational Mechanics and Analysis
20 Communications in Mathematical Physics
18 Physics of Fluids
16 Transport Theory and Statistical Physics
13 Computers & Mathematics with Applications
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Continuum Mechanics and Thermodynamics
9 Journal of Functional Analysis
9 SIAM Journal on Scientific Computing
9 European Journal of Mechanics. B. Fluids
8 Journal of Mathematical Physics
7 Theoretical and Mathematical Physics
7 Journal of Differential Equations
7 SIAM Journal on Mathematical Analysis
6 Journal of Fluid Mechanics
6 Journal of Mathematical Analysis and Applications
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Probability Theory and Related Fields
5 Applied Mathematics Letters
5 Computational Mathematics and Mathematical Physics
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Computer Methods in Applied Mechanics and Engineering
4 Fluid Dynamics
4 Quarterly of Applied Mathematics
4 SIAM Journal on Numerical Analysis
4 Journal of Scientific Computing
4 The Annals of Applied Probability
4 Journal of Statistical Mechanics: Theory and Experiment
3 Computers and Fluids
3 Computer Physics Communications
3 Communications on Pure and Applied Mathematics
3 International Journal of Engineering Science
3 Nonlinearity
3 Mathematics of Computation
3 Advances in Mathematics
3 Stochastic Processes and their Applications
3 Bulletin of the American Mathematical Society. New Series
3 Abstract and Applied Analysis
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Mathematical Methods in the Applied Sciences
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Transactions of the American Mathematical Society
2 Acta Applicandae Mathematicae
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Communications in Partial Differential Equations
2 International Journal of Computer Mathematics
2 Vestnik St. Petersburg University. Mathematics
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Integral Transforms and Special Functions
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Differential Equations
2 Communications on Pure and Applied Analysis
2 Analysis and Applications (Singapore)
2 Communications in Computational Physics
2 Analysis and Mathematical Physics
2 Journal of Computational and Theoretical Transport
1 International Journal of Modern Physics B
1 Applicable Analysis
1 Journal of Applied Mathematics and Mechanics
1 Journal of Mathematical Biology
1 Physica A
1 Reports on Mathematical Physics
1 Wave Motion
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 The Annals of Probability
1 Applied Mathematics and Computation
1 Inventiones Mathematicae
1 Journal of Applied Probability
1 Journal of Computational and Applied Mathematics
1 Meccanica
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Ricerche di Matematica
1 Physica D
1 Applied Numerical Mathematics
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Revista Matemática Iberoamericana
1 Mathematical and Computer Modelling
1 Asymptotic Analysis
1 Forum Mathematicum
1 Journal of Integral Equations and Applications
1 Sugaku Expositions
1 Japan Journal of Industrial and Applied Mathematics
1 Applied Mathematical Modelling
1 Journal of Non-Equilibrium Thermodynamics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Journal of Nonlinear Science
1 Journal of Mathematical Sciences (New York)
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Bulletin des Sciences Mathématiques
1 Electronic Journal of Probability
1 Discrete and Continuous Dynamical Systems
1 Documenta Mathematica
...and 32 more Serials
all top 5

Cited in 41 Fields

341 Fluid mechanics (76-XX)
336 Statistical mechanics, structure of matter (82-XX)
245 Partial differential equations (35-XX)
94 Numerical analysis (65-XX)
44 Probability theory and stochastic processes (60-XX)
37 Integral equations (45-XX)
17 Classical thermodynamics, heat transfer (80-XX)
12 Operator theory (47-XX)
12 Mechanics of deformable solids (74-XX)
10 Quantum theory (81-XX)
10 Biology and other natural sciences (92-XX)
9 Integral transforms, operational calculus (44-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Special functions (33-XX)
6 Ordinary differential equations (34-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Mechanics of particles and systems (70-XX)
5 Astronomy and astrophysics (85-XX)
4 Real functions (26-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Information and communication theory, circuits (94-XX)
3 History and biography (01-XX)
3 Approximations and expansions (41-XX)
3 Optics, electromagnetic theory (78-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Topological groups, Lie groups (22-XX)
2 Measure and integration (28-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 General topology (54-XX)
2 Geophysics (86-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Differential geometry (53-XX)
1 Computer science (68-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year