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Cercignani, Carlo

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Author ID: cercignani.carlo Recent zbMATH articles by "Cercignani, Carlo"
Published as: Cercignani, C.; Cercignani, Carlo
External Links: MGP · Wikidata · GND
Documents Indexed: 213 Publications since 1962, including 21 Books
Biographic References: 6 Publications
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Serials

31 Journal of Statistical Physics
23 Transport Theory and Statistical Physics
9 Physics of Fluids
7 Physics of Fluids
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Meccanica
6 Applied Mathematics Letters
4 Archive for Rational Mechanics and Analysis
4 Communications in Mathematical Physics
3 Computers & Mathematics with Applications
3 Journal of Mathematical Physics
3 Continuum Mechanics and Thermodynamics
2 Physics of Fluids, A
2 Mechanics Research Communications
2 European Journal of Mechanics. B. Fluids
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
2 Communications in Partial Differential Equations
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Applied Mathematical Sciences
2 Lecture Notes in Mathematics
2 Progress in Mathematical Physics
1 AIAA Journal
1 Archives of Mechanics
1 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 International Journal of Heat and Mass Transfer
1 Journal of Fluid Mechanics
1 Mathematical Methods in the Applied Sciences
1 Physica A
1 Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matemàtiche e Naturali
1 Duke Mathematical Journal
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Rivista di Matematica della Università di Parma. Serie IV
1 Teoretichna i Prilozhna Mekhanika
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Surveys on Mathematics for Industry
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Supplemento
1 Annals of Physics
1 Atti del Seminario Matematico e Fisico dell’Università di Modena
1 Journal of Non-Equilibrium Thermodynamics
1 Journal of Physics A: Mathematical and General
1 SIAM Journal on Applied Mathematics
1 Bollettino della Unione Matemàtica Italiana. Serie VII. A
1 Engineering Analysis with Boundary Elements
1 Discrete and Continuous Dynamical Systems
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Rivista di Matematica della Università di Parma. Serie 6
1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique
1 Oberwolfach Reports
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
1 Il Nuovo Cimento, X. Series
1 Istituto Lombardo, Accademia di Scienze e Lettere, Rendiconti, Sezione A
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 DMV Seminar
1 Nonlinear Analysis. Theory, Methods & Applications
1 Modeling and Simulation in Science, Engineering and Technology
1 Cambridge Texts in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

154 Publications have been cited 3,222 times in 2,134 Documents Cited by Year
The Boltzmann equation and its applications. Zbl 0646.76001
Cercignani, Carlo
720
1988
The mathematical theory of dilute gases. Zbl 0813.76001
Cercignani, Carlo; Illner, Reinhard; Pulvirenti, Mario
488
1994
Theory and application of the Boltzmann equation. Zbl 0403.76065
Cercignani, Carlo
314
1975
Rarefied gas dynamics. From basic concepts to actual calculations. Zbl 0961.76002
Cercignani, Carlo
151
2000
Mathematical methods in kinetic theory. Zbl 0191.25103
Cercignani, C.
149
1969
Kinetic models for gas-surface interactions. Zbl 0288.76041
Cercignani, C.; Lampis, M.
71
1971
Mathematical methods in kinetic theory. 2nd ed. Zbl 0726.76083
Cercignani, Carlo
67
1990
The relativistic Boltzmann equation: Theory and applications. Zbl 1011.76001
Cercignani, Carlo; Kremer, Gilberto Medeiros
54
2002
Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions. Zbl 1134.82324
Bobylev, A. V.; Cercignani, C.
43
2003
Elementary solutions of the linearized gas-dynamics Boltzmann equation and their application to the slip-flow problem. Zbl 0114.22104
Cercignani, C.
32
1962
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
Measure solutions of the steady Boltzmann equation in a slab. Zbl 0733.76063
Arkeryd, Leif; Cercignani, Carlo; Illner, Reinhard
28
1991
Slow rarefied flows. Theory and application to micro-electro-mechanical systems. Zbl 1097.82001
Cercignani, Carlo
25
2006
Non-existence of a steady rarefied supersonic flow in a half-space. Zbl 0449.76056
Arthur, M. D.; Cercignani, C.
24
1980
Mathematical models in rarefied gas dynamics. Zbl 0850.76620
Cercignani, C.
23
1991
Global existence of solutions for a model Boltzmann equation. Zbl 0960.82513
Cercignani, C.
23
1987
Moment equations for a granular material in a thermal bath. Zbl 1001.82092
Bobylev, A. V.; Cercignani, C.
22
2002
Many-particle dynamics and kinetic equations. Zbl 0933.82001
Cercignani, C.; Gerasimenko, V. I.; Petrina, D. Ya.
21
1997
A global existence theorem for the initial-boundary-value problem for the Boltzmann equation when the boundaries are not isothermal. Zbl 0789.76075
Akeryd, Leif; Cercignani, Carlo
21
1993
Global existence in \(L^ 1\) for the Enskog equation and convergence of the solutions to solutions of the Boltzmann equation. Zbl 0780.76066
Arkeryd, Leif; Cercignani, Carlo
21
1990
On the self-similar asymptotics for generalized nonlinear kinetic Maxwell models. Zbl 1192.35126
Bobylev, A. V.; Cercignani, C.; Gamba, I. M.
20
2009
High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor. Zbl 0894.76072
Cercignani, C.; Gamba, I. M.; Levermore, C. D.
20
1997
On the Boltzmann equation for rigid spheres. Zbl 0295.76048
Cercignani, Carlo
19
1972
Monte Carlo simulation of the Taylor-Couette flow of a rarefied gas. Zbl 0785.76068
Stefanov, Stefan; Cercignani, Carlo
18
1993
On the convergence of solutions of the Enskog equation to solutions of the Boltzmann equation. Zbl 0688.76053
Arkeryd, Leif; Cercignani, Carlo
18
1989
Self-similar solutions of the Boltzmann equation and their applications. Zbl 1001.82091
Bobylev, A. V.; Cercignani, C.
17
2002
Device benchmark comparisons via kinetic, hydrodynamic, and high-field models. Zbl 0966.76080
Cercignani, Carlo; Gamba, Irene M.; Jerome, Joseph W.; Shu, Chi-Wang
16
2000
A boundary value problem for discrete-velocity models. Zbl 0647.76050
Cercignani, Carlo; Illner, Reinhard; Shinbrot, Marvin
16
1987
Analytic solution of the temperature jump problem for the BGK model. Zbl 0376.76055
Cercignani, Carlo
16
1977
Flow of a rarefied gas past an axisymmetric body. II: Case of a sphere. Zbl 0172.54701
Cercignani, C.; Pagani, C. D.; Bassanini, P.
16
1968
Rayleigh-Bénard flow of a rarefied gas and its attractors. I: Convection regime. Zbl 1185.76355
Stefanov, S.; Roussinov, V.; Cercignani, C.
15
2002
Existence of global solutions for the space inhomogeneous Enskog equation. Zbl 0629.76083
Cercignani, Carlo
15
1987
Half-space problems in the kinetic theory of gases. Zbl 0594.76068
Cercignani, C.
15
1986
H-theorem and trend to equilibrium in the kinetic theory of gases. Zbl 0538.76068
Cercignani, C.
15
1982
Plane Poiseuille flow with symmetric and nonsymmetric gas-wall interactions. Zbl 1076.82041
Cercignani, Carlo; Lampis, Maria; Lorenzani, Silvia
14
2005
The Boltzmann equation and fluid dynamics. Zbl 1229.76093
Cercignani, C.
14
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
A drift-collision balance for a Boltzmann–Poisson system in bounded domains. Zbl 0987.82012
Cercignani, C.; Gamba, I. M.; Levermore, C. D.
14
2001
Shear flow of a granular material. Zbl 0990.82023
Cercignani, C.
13
2001
On the rate of entropy production for the Boltzmann equation. Zbl 0958.82040
Bobylev, Alexander V.; Cercignani, Carlo
13
1999
Steady solutions of the nonlinear Boltzmann equation. Zbl 0914.76071
Cercignani, Carlo
13
1998
Exact eternal solutions of the Boltzmann equation. Zbl 1001.82090
Bobylev, A. V.; Cercignani, C.
12
2002
On diffusive equilibria in generalized kinetic theory. Zbl 1051.82021
Cercignani, Carlo; Illner, Reinhard; Stoica, Cristina
12
2001
Discrete velocity models without nonphysical invariants. Zbl 0958.82041
Bobylev, Alexander V.; Cercignani, Carlo
12
1999
Ludwig Boltzmann. The man who trusted atoms. Foreword by Sir Roger Penrose. Zbl 0917.01028
Cercignani, Carlo
12
1998
Global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions. Zbl 0937.45007
Cercignani, C.; Illner, R.
12
1996
A remarkable estimate for the solutions of the Boltzmann equation. Zbl 0762.35090
Cercignani, Carlo
12
1992
A boundary value problem for the two dimensional Broadwell model. Zbl 0668.76091
Cercignani, Carlo; Illner, Reinhard; Shinbrot, Marvin
12
1988
Small data existence for the Enskog equation in \(L^ 1\). Zbl 1086.82540
Cercignani, Carlo
12
1988
The grad limit for a system of soft spheres. Zbl 0505.76088
Cercignani, Carlo
12
1983
On the thermodynamics of a discrete velocity gas. Zbl 0811.76078
Cercignani, Carlo
11
1994
Gaseous mixture slit flow at intermediate Knudsen numbers. Zbl 0767.76064
Cercignani, Carlo; Sharipov, Felix
11
1992
On the initial-boundary value problem for the Boltzmann equation. Zbl 0753.76151
Cercignani, Carlo
11
1991
On nonlinear stationary half-space problems in discrete kinetic theory. Zbl 1084.82561
Cercignani, Carlo; Illner, Reinhard; Pulvirenti, Mario; Shinbrot, Marvin
11
1988
Global weak solutions of the Boltzmann equation. Zbl 1097.82022
Cercignani, Carlo
10
2005
Shock waves for a discrete velocity gas mixture. Zbl 0972.82072
Cercignani, Carlo; Cornille, Henri
10
2000
The structure of an infinitely strong shock wave. Zbl 1149.76336
Cercignani, Carlo; Frezzotti, Aldo; Grosfils, Patrick
10
1999
Scaling limits and models in physical processes. Zbl 0912.35149
Cercignani, Carlo; Sattinger, David H.
10
1998
Variational approach to gas flows in microchannels. Zbl 1187.76086
Cercignani, Carlo; Lampis, Maria; Lorenzani, Silvia
9
2004
Discrete velocity models for mixtures. Zbl 0917.76075
Bobylev, Alexander V.; Cercignani, Carlo
9
1998
The Milne problem with a force term. Zbl 0899.76319
Cercignani, C.; Marra, R.; Esposito, R.
9
1998
Weak solutions of the Boltzmann equation and energy conservation. Zbl 0830.35107
Cercignani, C.
9
1995
On the kinetic theory of a dense gas of rough spheres. Zbl 0677.76080
Cercignani, Carlo; Lampis, Maria
9
1988
Kinetic theories and the Boltzmann equation. Lectures given at the 1st 1981 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), Held at Montecatini, Italy, June 10-18, 1981. Zbl 0536.00019
Cercignani, C. (ed.)
9
1984
Variational derivation of second-order slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules. Zbl 1190.76022
Cercignani, Carlo; Lorenzani, Silvia
8
2010
Generalized kinetic Maxwell type models of granular gases. Zbl 1298.76209
Bobylev, A. V.; Cercignani, C.; Gamba, I. M.
8
2008
Plane Poiseuille-Couette problem in micro-electro-mechanical systems applications with gas-rarefaction effects. Zbl 1262.76087
Cercignani, Carlo; Lampi, Maria; Lorenzani, Silvia
8
2006
Exact solutions of the Boltzmann equation. Zbl 0803.35151
Cercignani, C.
8
1993
Equilibrium states and trend to equilibrium in a gas according to the Boltzmann equation. Zbl 0723.76079
Cercignani, C.
8
1990
Flow of a rarefied gas past an axisymmetric body. I: General remarks. Zbl 0172.54602
Cercignani, C.; Pagani, C. D.
8
1968
Stokes paradox in kinetic theory. Zbl 0155.55503
Cercignani, C.
8
1968
A new scattering kernel in kinetic theory of gases. Zbl 0874.76076
Cercignani, Carlo; Lampis, Maria; Lentati, Andrea
7
1995
Existence of homoenergetic affine flows for the Boltzmann equation. Zbl 0697.76089
Cercignani, Carlo
7
1989
A sketch of the theory of the Boltzmann equation. Zbl 0465.76068
Cercignani, Carlo
7
1978
Rayleigh-Bénard flow of a rarefied gas and its attractors. II: Cchaotic and periodic convective regimes. Zbl 1185.76356
Stefanov, S.; Roussinov, V.; Cercignani, C.
6
2002
Bénard’s instability in kinetic theory. Zbl 0793.76042
Cercignani, Carlo; Stefanov, Stefan
6
1992
Analysis of thermal, sound, and shear waves according to a relativistic kinetic model. Zbl 0603.76128
Cercignani, Carlo; Majorana, Armando
6
1985
The paradox of the inverted temperature profiles between an evaporating and a condensing surface. Zbl 0586.76132
Cercignani, C.; Fiszdon, W.; Freotti, A.
6
1985
Bifurcation problems in fluid-mechanics. Zbl 0195.27401
Cercignani, Carlo
6
1970
Influence of the accommodation coefficient on the heat transfer in a rarefied gas. Zbl 0182.28701
Bassanini, P.; Cercignani, C.; Pagani, C. D.
6
1968
Analysis of subgrid scale models. Zbl 1100.76527
Abbà, A.; Cercignani, C.; Valdettaro, L.
5
2003
Measure solutions for the steady linear Boltzmann equation in a slab. Zbl 0940.35165
Cercignani, C.; Giurin, M. C.
5
1999
Temperature, entropy, and kinetic theory. Zbl 0945.82553
Cercignani, Carlo
5
1997
New scattering kernel for gas-surface interaction. Zbl 0892.76076
Cercignani, C.; Lampis, M.
5
1997
Validation of a Monte Carlo simulation of the plane Couette flow of a rarefied gas. Zbl 0834.76066
Cercignani, Carlo; Cortese, Stefano
5
1994
Monte Carlo simulation of Bénard’s instability in a rarefied gas. Zbl 0764.76060
Stefanov, S.; Cercignani, C.
5
1992
On a functional equation arising in the kinetic theory of gases. Zbl 0703.76062
Arkeryd, Leif; Cercignani, Carlo
5
1990
Existence and uniqueness for nonlinear boundary value problems in kinetic theory. Zbl 0681.76076
Cercignani, Carlo; Palczewski, Andrzej
5
1987
A technique for time-dependent boundary value problems in the kinetic theory of gases. I. Basic analysis. Zbl 0545.76078
Aoki, K.; Cercignani, C.
5
1984
On partial indices for a matrix Riemann-Hilbert problem. Zbl 0483.76090
Cercignani, C.; Siewert, C. E.
5
1982
Rarefied gas flow through long slots. Zbl 0422.76045
Cercignani, Carlo; Neudachin, Ilya
5
1979
BEM approaches and simplified kinetic models for the analysis of damping in deformable MEMS. Zbl 1195.76276
Cercignani, C.; Frangi, A.; Lorenzani, S.; Vigna, B.
4
2007
The Boltzmann equation approach to the shear flow of a granular material. Zbl 1001.76092
Cercignani, Carlo
4
2002
A domain decomposition method for Silicon devices. Zbl 1028.82021
Cercignani, Carlo; Gamba, Irene M.; Jerome, Joseph W.; Shu, Chi-Wang
4
2000
Propagation phenomena in classical and relativistic rarefied gases. Zbl 1017.82043
Cercignani, Carlo
4
2000
On relativistic collisional invariants. Zbl 0964.82046
Cercignani, C.; Kremer, G. M.
4
1999
Stress and heat flux in non-inertial reference frames. Zbl 0891.76077
Biscari, Paolo; Cercignani, Carlo
4
1997
Errata: Weak solutions of the Boltzmann equation and energy conservation. Zbl 0841.35093
Cercignani, C.
4
1995
An explicitly solvable kinetic model for semiconductors. Zbl 0839.76075
Cercignani, Carlo
4
1994
Monte Carlo simulation of a channel flow of a rarefied gas. Zbl 0799.76065
Stefanov, Stefan; Cercignani, Carlo
4
1994
Variational derivation of second-order slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules. Zbl 1190.76022
Cercignani, Carlo; Lorenzani, Silvia
8
2010
On the self-similar asymptotics for generalized nonlinear kinetic Maxwell models. Zbl 1192.35126
Bobylev, A. V.; Cercignani, C.; Gamba, I. M.
20
2009
Generalized kinetic Maxwell type models of granular gases. Zbl 1298.76209
Bobylev, A. V.; Cercignani, C.; Gamba, I. M.
8
2008
134 years of Boltzmann equation. Zbl 1156.82301
Cercignani, Carlo
3
2008
BEM approaches and simplified kinetic models for the analysis of damping in deformable MEMS. Zbl 1195.76276
Cercignani, C.; Frangi, A.; Lorenzani, S.; Vigna, B.
4
2007
Rayleigh-Bénard flow of a rarefied gas and its attractors. III: Three-dimensional computer simulations. Zbl 1182.76719
Stefanov, S.; Roussinov, V.; Cercignani, C.
3
2007
On the Reynolds equation for linearized models of the Boltzmann operator. Zbl 1136.82018
Cercignani, C.; Lampis, M.; Lorenzani, S.
2
2007
Transport phenomena and kinetic theory. Applications to gases, semiconductors, photons, and biological systems. Zbl 1109.82001
Cercignani, Carlo (ed.); Gabetta, Ester (ed.)
1
2007
Slow rarefied flows. Theory and application to micro-electro-mechanical systems. Zbl 1097.82001
Cercignani, Carlo
25
2006
Plane Poiseuille-Couette problem in micro-electro-mechanical systems applications with gas-rarefaction effects. Zbl 1262.76087
Cercignani, Carlo; Lampi, Maria; Lorenzani, Silvia
8
2006
Ludwig Boltzmann. The man who trusted atoms. Foreword by Sir Roger Penrose. Zbl 1095.01502
Cercignani, Carlo
3
2006
Weak solutions of the Boltzmann equation without angle cutoff. Zbl 1108.82037
Cercignani, Carlo
2
2006
Estimating the solutions of the Boltzmann equation. Zbl 1110.82036
Cercignani, Carlo
1
2006
Plane Poiseuille flow with symmetric and nonsymmetric gas-wall interactions. Zbl 1076.82041
Cercignani, Carlo; Lampis, Maria; Lorenzani, Silvia
14
2005
Global weak solutions of the Boltzmann equation. Zbl 1097.82022
Cercignani, Carlo
10
2005
Variational approach to gas flows in microchannels. Zbl 1187.76086
Cercignani, Carlo; Lampis, Maria; Lorenzani, Silvia
9
2004
Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions. Zbl 1134.82324
Bobylev, A. V.; Cercignani, C.
43
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
Analysis of subgrid scale models. Zbl 1100.76527
Abbà, A.; Cercignani, C.; Valdettaro, L.
5
2003
Variational approach to plane Poiseuille flow with general boundary conditions. Zbl 1182.76945
Cercignani, Carlo; Lampis, Maria; Lorenzani, Silvia
3
2003
Recent results in the kinetic theory of granular materials. Zbl 1255.76141
Cercignani, Carlo
2
2003
The relativistic Boltzmann equation: Theory and applications. Zbl 1011.76001
Cercignani, Carlo; Kremer, Gilberto Medeiros
54
2002
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.
17
2002
Rayleigh-Bénard flow of a rarefied gas and its attractors. I: Convection regime. Zbl 1185.76355
Stefanov, S.; Roussinov, V.; Cercignani, C.
15
2002
The Boltzmann equation and fluid dynamics. Zbl 1229.76093
Cercignani, C.
14
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.
12
2002
Rayleigh-Bénard flow of a rarefied gas and its attractors. II: Cchaotic and periodic convective regimes. Zbl 1185.76356
Stefanov, S.; Roussinov, V.; Cercignani, C.
6
2002
The Boltzmann equation approach to the shear flow of a granular material. Zbl 1001.76092
Cercignani, Carlo
4
2002
Self-similar solutions of the Boltzmann equation for non-Maxwell molecules. Zbl 1034.82046
Bobylev, A. V.; Cercignani, C.
2
2002
A drift-collision balance for a Boltzmann–Poisson system in bounded domains. Zbl 0987.82012
Cercignani, C.; Gamba, I. M.; Levermore, C. D.
14
2001
Shear flow of a granular material. Zbl 0990.82023
Cercignani, C.
13
2001
On diffusive equilibria in generalized kinetic theory. Zbl 1051.82021
Cercignani, Carlo; Illner, Reinhard; Stoica, Cristina
12
2001
Large size planar discrete velocity models for gas mixtures. Zbl 0995.82512
Cornille, Henri; Cercignani, Carlo
3
2001
Moment closure of the relativistic Anderson and Witting model equation. Zbl 0971.82516
Cercignani, C.; Kremer, G. M.
3
2001
Dispersion and absorption of plane harmonic waves in a relativistic gas. Zbl 1100.76560
Cercignani, C.; Kremer, G. M.
1
2001
Rarefied gas dynamics. From basic concepts to actual calculations. Zbl 0961.76002
Cercignani, Carlo
151
2000
Device benchmark comparisons via kinetic, hydrodynamic, and high-field models. Zbl 0966.76080
Cercignani, Carlo; Gamba, Irene M.; Jerome, Joseph W.; Shu, Chi-Wang
16
2000
Shock waves for a discrete velocity gas mixture. Zbl 0972.82072
Cercignani, Carlo; Cornille, Henri
10
2000
A domain decomposition method for Silicon devices. Zbl 1028.82021
Cercignani, Carlo; Gamba, Irene M.; Jerome, Joseph W.; Shu, Chi-Wang
4
2000
Propagation phenomena in classical and relativistic rarefied gases. Zbl 1017.82043
Cercignani, Carlo
4
2000
A class of planar discrete velocity models for gas mixtures. Zbl 0959.82023
Cornille, Henri; Cercignani, Carlo
3
2000
Trend to equilibrium of a degenerate relativistic gas. Zbl 0958.82042
Cercignani, C.; Kremer, G. M.
3
2000
The velocity distribution function in an infinitely strong shock wave. Zbl 1184.76541
Takata, Shigeru; Aoki, Kazuo; Cercignani, Carlo
2
2000
Time-derivatives and frame-invariance beyond Newtonian fluids. Zbl 1004.76073
Biscari, Paolo; Cercignani, Carlo; Slemrod, Marshall
2
2000
On the rate of entropy production for the Boltzmann equation. Zbl 0958.82040
Bobylev, Alexander V.; Cercignani, Carlo
13
1999
Discrete velocity models without nonphysical invariants. Zbl 0958.82041
Bobylev, Alexander V.; Cercignani, Carlo
12
1999
The structure of an infinitely strong shock wave. Zbl 1149.76336
Cercignani, Carlo; Frezzotti, Aldo; Grosfils, Patrick
10
1999
Measure solutions for the steady linear Boltzmann equation in a slab. Zbl 0940.35165
Cercignani, C.; Giurin, M. C.
5
1999
On relativistic collisional invariants. Zbl 0964.82046
Cercignani, C.; Kremer, G. M.
4
1999
A new model for the boundary conditions of the Boltzmann equation. Zbl 0978.76080
Cercignani, Carlo; Lampis, Maria
2
1999
Steady solutions of the nonlinear Boltzmann equation. Zbl 0914.76071
Cercignani, Carlo
13
1998
Ludwig Boltzmann. The man who trusted atoms. Foreword by Sir Roger Penrose. Zbl 0917.01028
Cercignani, Carlo
12
1998
Scaling limits and models in physical processes. Zbl 0912.35149
Cercignani, Carlo; Sattinger, David H.
10
1998
Discrete velocity models for mixtures. Zbl 0917.76075
Bobylev, Alexander V.; Cercignani, Carlo
9
1998
The Milne problem with a force term. Zbl 0899.76319
Cercignani, C.; Marra, R.; Esposito, R.
9
1998
Measure solutions for the steady nonlinear Boltzmann equation in a slab. Zbl 0920.35156
Cercignani, Carlo
3
1998
New models for the differential cross-section of a polyatomic gas in the frame of the scattering kernel theory. Zbl 0964.76079
Cercignani, Carlo; Lampis, Maria; Struckmeier, J.
1
1998
Anisotropy effects in LES simulation of turbulent flows. Zbl 0928.76052
Abbà, A.; Cercignani, C.; Valdettaro, L.
1
1998
Monte Carlo simulation of the propagation of a disturbance in the channel flow of a rarefied gas. Zbl 0911.76070
Stefanov, S.; Cercignani, C.
1
1998
Many-particle dynamics and kinetic equations. Zbl 0933.82001
Cercignani, C.; Gerasimenko, V. I.; Petrina, D. Ya.
21
1997
High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor. Zbl 0894.76072
Cercignani, C.; Gamba, I. M.; Levermore, C. D.
20
1997
Temperature, entropy, and kinetic theory. Zbl 0945.82553
Cercignani, Carlo
5
1997
New scattering kernel for gas-surface interaction. Zbl 0892.76076
Cercignani, C.; Lampis, M.
5
1997
Stress and heat flux in non-inertial reference frames. Zbl 0891.76077
Biscari, Paolo; Cercignani, Carlo
4
1997
The Boltzmann equation and high altitude aerodynamics. Zbl 1112.76447
Cercignani, Carlo
3
1997
Global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions. Zbl 0937.45007
Cercignani, C.; Illner, R.
12
1996
Weak solutions of the Boltzmann equation and energy conservation. Zbl 0830.35107
Cercignani, C.
9
1995
A new scattering kernel in kinetic theory of gases. Zbl 0874.76076
Cercignani, Carlo; Lampis, Maria; Lentati, Andrea
7
1995
Errata: Weak solutions of the Boltzmann equation and energy conservation. Zbl 0841.35093
Cercignani, C.
4
1995
Interaction of evaporating and condensing particles in the free-molecular regime. Zbl 1027.76643
Kogan, M. N.; Bobrov, I. N.; Cercignani, C.; Frezzotti, A.
3
1995
On global existence theorems for the initial-boundary value problem for the Boltzmann equation. Zbl 0938.76095
Cercignani, Carlo
2
1995
The mathematical theory of dilute gases. Zbl 0813.76001
Cercignani, Carlo; Illner, Reinhard; Pulvirenti, Mario
488
1994
On the thermodynamics of a discrete velocity gas. Zbl 0811.76078
Cercignani, Carlo
11
1994
Validation of a Monte Carlo simulation of the plane Couette flow of a rarefied gas. Zbl 0834.76066
Cercignani, Carlo; Cortese, Stefano
5
1994
An explicitly solvable kinetic model for semiconductors. Zbl 0839.76075
Cercignani, Carlo
4
1994
Monte Carlo simulation of a channel flow of a rarefied gas. Zbl 0799.76065
Stefanov, Stefan; Cercignani, Carlo
4
1994
Mathematical problems in the gas dynamics of high-altitude flight. Zbl 0852.76081
Cercignani, C.
3
1994
A global existence theorem for the initial-boundary-value problem for the Boltzmann equation when the boundaries are not isothermal. Zbl 0789.76075
Akeryd, Leif; Cercignani, Carlo
21
1993
Monte Carlo simulation of the Taylor-Couette flow of a rarefied gas. Zbl 0785.76068
Stefanov, Stefan; Cercignani, Carlo
18
1993
Exact solutions of the Boltzmann equation. Zbl 0803.35151
Cercignani, C.
8
1993
On the absence of motion in certain nonequilibrium states of gases and vapors in free-molecular regime: General considerations and pipe flow. Zbl 0795.76070
Cercignani, Carlo; Frezzotti, Aldo; Kogan, Mikhail N.
1
1993
A remarkable estimate for the solutions of the Boltzmann equation. Zbl 0762.35090
Cercignani, Carlo
12
1992
Gaseous mixture slit flow at intermediate Knudsen numbers. Zbl 0767.76064
Cercignani, Carlo; Sharipov, Felix
11
1992
Bénard’s instability in kinetic theory. Zbl 0793.76042
Cercignani, Carlo; Stefanov, Stefan
6
1992
Monte Carlo simulation of Bénard’s instability in a rarefied gas. Zbl 0764.76060
Stefanov, S.; Cercignani, C.
5
1992
Half-range completeness for the Fokker-Planck equation with an external force. Zbl 0925.60060
Cercignani, C.; Sgarra, C.
4
1992
Measure solutions of the steady Boltzmann equation in a slab. Zbl 0733.76063
Arkeryd, Leif; Cercignani, Carlo; Illner, Reinhard
28
1991
Mathematical models in rarefied gas dynamics. Zbl 0850.76620
Cercignani, C.
23
1991
On the initial-boundary value problem for the Boltzmann equation. Zbl 0753.76151
Cercignani, Carlo
11
1991
A trace theorem in kinetic theory. Zbl 0744.45005
Cannone, Marco; Cercignani, Carlo
4
1991
Mathematical methods in kinetic theory. 2nd ed. Zbl 0726.76083
Cercignani, Carlo
67
1990
Global existence in \(L^ 1\) for the Enskog equation and convergence of the solutions to solutions of the Boltzmann equation. Zbl 0780.76066
Arkeryd, Leif; Cercignani, Carlo
21
1990
Equilibrium states and trend to equilibrium in a gas according to the Boltzmann equation. Zbl 0723.76079
Cercignani, C.
8
1990
On a functional equation arising in the kinetic theory of gases. Zbl 0703.76062
Arkeryd, Leif; Cercignani, Carlo
5
1990
Are there more than five linearly-independent collision invariants for the Boltzmann equation? Zbl 0718.60113
Cercignani, Carlo
3
1990
On the convergence of solutions of the Enskog equation to solutions of the Boltzmann equation. Zbl 0688.76053
Arkeryd, Leif; Cercignani, Carlo
18
1989
Existence of homoenergetic affine flows for the Boltzmann equation. Zbl 0697.76089
Cercignani, Carlo
7
1989
Kinetic theory with “bounce-back” boundary conditions. Zbl 0675.76081
Cercignani, Carlo
4
1989
...and 54 more Documents
all top 5

Cited by 1,986 Authors

76 Cercignani, Carlo
39 Toscani, Giuseppe
33 Aoki, Kazuo
31 Spiga, Giampiero
28 Yang, Tong
27 Siewert, C. E.
26 Takata, Shigeru
26 Yushkanov, Aleksandr Alekseevich
25 Degond, Pierre
24 Bisi, Marzia
24 Martínez Gamba, Irene
23 Desvillettes, Laurent
23 Sharipov, Felix M.
22 Dimarco, Giacomo
22 Sone, Yoshio
21 Golse, François
20 Bobylev, Alexandre Vasiljévitch
20 Latyshev, Anatolii Vasil’evich
20 Mouhot, Clément
20 Pareschi, Lorenzo
20 Pulvirenti, Mario
19 Carrillo de la Plata, José Antonio
19 Yun, Seok-Bae
18 Arkeryd, Leif O.
18 Zhang, Xianwen
17 Illner, Reinhard
17 Wagner, Wolfgang
16 Frezzotti, Aldo
16 Groppi, Maria
16 Klar, Axel
16 Zhao, Huijiang
15 Bellomo, Nicola
15 Duan, Renjun
15 Esposito, Raffaele
15 Kremer, Gilberto Medeiros
14 Carlen, Eric Anders
14 Saint-Raymond, Laure
14 Torrilhon, Manuel
14 Van der Mee, Cornelis Victor Maria
13 Guo, Yan
13 Liu, Shuangqian
13 Marra, Rossana
13 Mieussens, Luc
13 Shu, Chi-Wang
13 Struchtrup, Henning
13 Valougeorgis, Dimitris
12 Greenberg, William R.
12 Majorana, Armando
12 Monaco, Roberto
11 Briant, Marc
11 Ha, Seung-Yeal
11 Hu, Jingwei
11 Jin, Shi
11 Lebowitz, Joel Louis
11 Loyalka, S. K.
11 Morimoto, Yoshinori
11 Nouri, Anne
11 Perthame, Benoît
11 Reese, Jason M.
11 Wennberg, Bernt
11 Yu, Shih-Hsien
10 Alexandre, Radjesvarane
10 Emerson, David R.
10 Filbet, Francis
10 Garcia, Roberto D. M.
10 Gibelli, Livio
10 Hauck, Cory D.
10 Lachowicz, Mirosław
10 Lampis, Maria
10 Lorenzani, Silvia
10 Ohwada, Taku
10 Simonella, Sergio
10 Strain, Robert M.
10 Ukai, Seiji
10 Xu, Chao-Jiang
10 Zweifel, Paul F.
9 Gabetta, Ester
9 Lods, Bertrand
9 Mischler, Stéphane
9 Regazzini, Eugenio
9 Santos, Andrés
9 Stefanov, Stefan K.
9 Wu, Lei
9 Xu, Kun
9 Yu, Hongjun
8 Doi, Toshiyuki
8 Fournier, Nicolas G.
8 Fox, Rodney O.
8 Gordevskiĭ, Vyacheslav Dmitrievich
8 Hadjiconstantinou, Nicolas G.
8 Huang, Feimin
8 Kim, Chanwoo
8 Kosuge, Shingo
8 Li, Zhihui
8 Popov, Vasily Nikolaevich
8 Puppo, Gabriella
8 Rjasanow, Sergej
8 Sader, John E.
8 Slemrod, Marshall
8 Taguchi, Satoshi
...and 1,886 more Authors
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Cited in 256 Serials

211 Journal of Statistical Physics
156 Journal of Computational Physics
119 Transport Theory and Statistical Physics
103 Physics of Fluids
82 Archive for Rational Mechanics and Analysis
59 Journal of Differential Equations
57 Communications in Mathematical Physics
57 European Journal of Mechanics. B. Fluids
52 Kinetic and Related Models
43 Journal of Fluid Mechanics
42 Computers & Mathematics with Applications
41 Journal of Mathematical Analysis and Applications
41 ZAMP. Zeitschrift für angewandte Mathematik und Physik
40 Computers and Fluids
38 Fluid Dynamics
37 Journal of Mathematical Physics
34 Theoretical and Mathematical Physics
30 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
29 Continuum Mechanics and Thermodynamics
27 Physica A
23 Physica D
21 Mathematical Methods in the Applied Sciences
21 Mathematical and Computer Modelling
20 SIAM Journal on Mathematical Analysis
18 Meccanica
18 Applied Mathematics Letters
18 Journal of Scientific Computing
16 Communications on Pure and Applied Mathematics
16 Communications in Partial Differential Equations
14 Applied Mathematics and Computation
11 Physics of Fluids
11 Physics Letters. A
11 Physics of Fluids, A
11 Journal of Computational and Applied Mathematics
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 Computational Mathematics and Mathematical Physics
11 Multiscale Modeling & Simulation
10 Computer Methods in Applied Mechanics and Engineering
10 Journal of Functional Analysis
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Quarterly of Applied Mathematics
9 SIAM Journal on Numerical Analysis
8 Mathematics of Computation
8 Acta Applicandae Mathematicae
8 The Annals of Applied Probability
8 Annals of Physics
8 SIAM Journal on Scientific Computing
7 Computer Physics Communications
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 SIAM Journal on Applied Mathematics
7 Discrete and Continuous Dynamical Systems
7 Nonlinear Analysis. Theory, Methods & Applications
6 International Journal of Heat and Mass Transfer
6 Advances in Mathematics
6 Inventiones Mathematicae
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Probability Theory and Related Fields
6 Stochastic Processes and their Applications
6 Matematicheskoe Modelirovanie
6 Foundations of Physics
5 Acta Mechanica
5 General Relativity and Gravitation
5 International Journal of Engineering Science
5 International Journal for Numerical Methods in Fluids
5 Journal of Mathematical Biology
5 Mathematical Notes
5 Ukrainian Mathematical Journal
5 Mathematics and Computers in Simulation
5 Rendiconti del Seminario Matemàtico e Fisico di Milano
5 Applied Mathematical Modelling
5 Bulletin of the American Mathematical Society. New Series
5 Journal of Nonlinear Science
5 International Journal of Computational Fluid Dynamics
5 Abstract and Applied Analysis
5 Nonlinear Analysis. Real World Applications
5 Journal of Statistical Mechanics: Theory and Experiment
4 Physics Reports
4 Reports on Mathematical Physics
4 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
4 Integral Equations and Operator Theory
4 Siberian Mathematical Journal
4 Applied Numerical Mathematics
4 Acta Mathematicae Applicatae Sinica. English Series
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 Living Reviews in Relativity
4 Communications on Pure and Applied Analysis
4 Science China. Mathematics
4 Séminaire Laurent Schwartz. EDP et Applications
3 Applicable Analysis
3 Journal of Applied Mathematics and Mechanics
3 Prikladnaya Matematika i Mekhanika
3 Computing
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Revista Matemática Iberoamericana
3 Journal of Integral Equations and Applications
3 Japan Journal of Industrial and Applied Mathematics
3 Journal of Non-Equilibrium Thermodynamics
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
...and 156 more Serials
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Cited in 46 Fields

1,347 Fluid mechanics (76-XX)
1,129 Statistical mechanics, structure of matter (82-XX)
750 Partial differential equations (35-XX)
286 Numerical analysis (65-XX)
139 Integral equations (45-XX)
110 Probability theory and stochastic processes (60-XX)
109 Classical thermodynamics, heat transfer (80-XX)
59 Biology and other natural sciences (92-XX)
50 Operator theory (47-XX)
45 Quantum theory (81-XX)
43 Relativity and gravitational theory (83-XX)
37 Mechanics of deformable solids (74-XX)
36 Dynamical systems and ergodic theory (37-XX)
33 Ordinary differential equations (34-XX)
31 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
26 Optics, electromagnetic theory (78-XX)
18 Astronomy and astrophysics (85-XX)
16 Mechanics of particles and systems (70-XX)
16 Operations research, mathematical programming (90-XX)
13 Functional analysis (46-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
12 Integral transforms, operational calculus (44-XX)
12 Statistics (62-XX)
12 Information and communication theory, circuits (94-XX)
7 Special functions (33-XX)
7 Computer science (68-XX)
7 Systems theory; control (93-XX)
6 General and overarching topics; collections (00-XX)
6 Approximations and expansions (41-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Real functions (26-XX)
5 Difference and functional equations (39-XX)
5 Differential geometry (53-XX)
4 History and biography (01-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Measure and integration (28-XX)
3 Geophysics (86-XX)
2 General topology (54-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)

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