# zbMATH — the first resource for mathematics

## Chavanis, Pierre-Henri

Compute Distance To:
 Author ID: chavanis.pierre-henri Published as: Chavanis, Pierre-Henri; Chavanis, P. H.; Chavanis, P.-H.
 Documents Indexed: 40 Publications since 1996
all top 5

#### Co-Authors

 22 single-authored 5 Sire, Clément 4 Sommeria, Joel 2 Campa, Alessandro 2 Lemou, Mohammed 2 Pasmanter, Rubén A. 1 Avilez, Ana Belén 1 Bernal, Tula 1 Bonamy, Daniel 1 Bracco, Annalisa 1 Carcaud, Pierre 1 Cortet, Pierre-Philippe 1 Daviaud, François 1 Dubrulle, Bérengère 1 Fouvry, Jean-Baptiste 1 Mannella, Riccardo 1 Matos, Tonatiuh 1 Méhats, Florian 1 Pichon, Christophe 1 Provenzale, Antonello 1 Renouf, Mathieu 1 Ribot, Magali 1 Rosier, Carole 1 Spiegel, Edward A.
all top 5

#### Serials

 7 The European Physical Journal B. Condensed Matter and Complex Systems 6 Astronomy and Astrophysics 4 Physics of Fluids 2 International Journal of Modern Physics B 2 Journal of Fluid Mechanics 2 Physica A 2 Physica D 2 Physical Review E. Third Series 2 Journal of Statistical Mechanics: Theory and Experiment 1 General Relativity and Gravitation 1 Theoretical and Computational Fluid Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series B 1 Entropy
all top 5

#### Fields

 18 Statistical mechanics, structure of matter (82-XX) 14 Fluid mechanics (76-XX) 12 Astronomy and astrophysics (85-XX) 6 Partial differential equations (35-XX) 6 Relativity and gravitational theory (83-XX) 4 Probability theory and stochastic processes (60-XX) 4 Biology and other natural sciences (92-XX) 2 Mechanics of particles and systems (70-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

33 Publications have been cited 236 times in 142 Documents Cited by Year
Classification of self-organized vortices in two-dimensional turbulence: The case of a bounded domain. Zbl 0864.76037
Chavanis, P. H.; Sommeria, J.
1996
Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations. Zbl 1189.35335
Chavanis, P. H.
2008
Phase transitions in self-gravitating systems. Zbl 1121.82304
Chavanis, P. H.
2006
Particle aggregation in a turbulent keplerian flow. Zbl 1147.76336
Bracco, A.; Chavanis, P. H.; Provenzale, A.; Spiegel, E. A.
1999
Classification of robust vortices in two-dimensional hydrodynamics. Zbl 0912.76011
Chavanis, P. H.; Sommeria, J.
1998
Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. I: Overdamped models. Zbl 1244.82036
Chavanis, Pierre-Henri; Sire, Clément
2006
Maximum entropy versus minimum enstrophy vortices. Zbl 1149.76325
Brands, H.; Chavanis, P. H.; Pasmanter, R.; Sommeria, J.
1999
Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. II: Inertial models. Zbl 1244.82037
Chavanis, Pierre-Henri; Sire, Clément
2006
Gravitational instability of isothermal and polytropic spheres. Zbl 1022.85001
Chavanis, P. H.
2003
Gravitational instability of finite isothermal spheres. Zbl 1060.85511
Chavanis, P. H.
2002
Dynamical stability of collisionless stellar systems and barotropic stars: the nonlinear Antonov first law. Zbl 1096.85012
Chavanis, P. H.
2006
Dynamical and thermodynamical stability of two-dimensional flows: variational principles and relaxation equations. Zbl 1188.76209
Chavanis, P. H.
2009
Kinetic theory of point vortices in two dimensions: analytical results and numerical simulations. Zbl 1189.82096
Chavanis, P. H.; Lemou, M.
2007
Relativistic stars with a linear equation of state: analogy with classical isothermal spheres and black holes. Zbl 1148.85303
Chavanis, P. H.
2008
On the lifetime of metastable states in self-gravitating systems. Zbl 1071.85001
Chavanis, P. H.
2005
A stochastic Keller-Segel model of chemotaxis. Zbl 1221.60098
Chavanis, Pierre-Henri
2010
Brownian particles with long- and short-range interactions. Zbl 1225.82046
Chavanis, Pierre-Henri
2011
Exact diffusion coefficient of self-gravitating Brownian particles in two dimensions. Zbl 1189.82108
Chavanis, P. H.
2007
Self-gravitating Brownian particles in two dimensions: the case of $$N = 2$$ particles. Zbl 1256.82008
Chavanis, Pierre-Henri; Mannella, Riccardo
2010
Statistical mechanics of geophysical turbulence: application to Jovian flows and Jupiter’s great red spot. Zbl 1290.76036
Chavanis, Pierre-Henri
2005
Generalized kinetic equations and effective thermodynamics. Zbl 1235.82060
Chavanis, Pierre-Henri
2004
On the analogy between self-gravitating Brownian particles and bacterial populations. Zbl 1055.92005
Chavanis, Pierre-Henri; Ribot, Magali; Rosier, Carole; Sire, Clément
2004
Statistical mechanics of 2D turbulence with a prior vorticity distribution. Zbl 1143.76450
Chavanis, Pierre-Henri
2008
Gravitational collapse of a Brownian gas. Zbl 1056.92008
Sire, Clément; Chavanis, Pierre-Henri
2004
Kinetic theory of stellar systems, two-dimensional vortices and HMF model. Zbl 1195.85007
Chavanis, Pierre-Henri
2010
Statistical mechanics of violent relaxation in stellar systems. Zbl 1010.35108
Chavanis, Pierre-Henri
2002
Inhomogeneous Tsallis distributions in the HMF model. Zbl 1202.82055
Chavanis, P.-H.; Campa, A.
2010
Gravitational instability of slowly rotating isothermal spheres. Zbl 1029.85002
Chavanis, P. H.
2002
The spatial correlations in the velocities arising from a random distribution of point vortices. Zbl 1184.76095
Chavanis, Pierre-Henri; Sire, Clément
2001
Erratum: ”Maximum entropy versus minimum enstrophy vortices” [Phys. Fluids 11, 3465 (1999)]. Zbl 1149.76326
Brands, H.; Chavanis, P. H.; Pasmanter, R.; Sommeria, J.
2000
Euler-like modelling of dense granular flows: application to a rotating drum. Zbl 1188.76266
Bonamy, D.; Chavanis, P.-H.; Cortet, P.-P.; Daviaud, F.; Dubrulle, B.; Renouf, M.
2009
Virial theorem for rotating self-gravitating Brownian particles and two-dimensional point vortices. Zbl 1257.82041
Chavanis, Pierre-Henri
2012
Generalized stochastic Fokker-Planck equations. Zbl 1338.60154
Chavanis, Pierre-Henri
2015
Generalized stochastic Fokker-Planck equations. Zbl 1338.60154
Chavanis, Pierre-Henri
2015
Virial theorem for rotating self-gravitating Brownian particles and two-dimensional point vortices. Zbl 1257.82041
Chavanis, Pierre-Henri
2012
Brownian particles with long- and short-range interactions. Zbl 1225.82046
Chavanis, Pierre-Henri
2011
A stochastic Keller-Segel model of chemotaxis. Zbl 1221.60098
Chavanis, Pierre-Henri
2010
Self-gravitating Brownian particles in two dimensions: the case of $$N = 2$$ particles. Zbl 1256.82008
Chavanis, Pierre-Henri; Mannella, Riccardo
2010
Kinetic theory of stellar systems, two-dimensional vortices and HMF model. Zbl 1195.85007
Chavanis, Pierre-Henri
2010
Inhomogeneous Tsallis distributions in the HMF model. Zbl 1202.82055
Chavanis, P.-H.; Campa, A.
2010
Dynamical and thermodynamical stability of two-dimensional flows: variational principles and relaxation equations. Zbl 1188.76209
Chavanis, P. H.
2009
Euler-like modelling of dense granular flows: application to a rotating drum. Zbl 1188.76266
Bonamy, D.; Chavanis, P.-H.; Cortet, P.-P.; Daviaud, F.; Dubrulle, B.; Renouf, M.
2009
Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations. Zbl 1189.35335
Chavanis, P. H.
2008
Relativistic stars with a linear equation of state: analogy with classical isothermal spheres and black holes. Zbl 1148.85303
Chavanis, P. H.
2008
Statistical mechanics of 2D turbulence with a prior vorticity distribution. Zbl 1143.76450
Chavanis, Pierre-Henri
2008
Kinetic theory of point vortices in two dimensions: analytical results and numerical simulations. Zbl 1189.82096
Chavanis, P. H.; Lemou, M.
2007
Exact diffusion coefficient of self-gravitating Brownian particles in two dimensions. Zbl 1189.82108
Chavanis, P. H.
2007
Phase transitions in self-gravitating systems. Zbl 1121.82304
Chavanis, P. H.
2006
Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. I: Overdamped models. Zbl 1244.82036
Chavanis, Pierre-Henri; Sire, Clément
2006
Virial theorem and dynamical evolution of self-gravitating Brownian particles in an unbounded domain. II: Inertial models. Zbl 1244.82037
Chavanis, Pierre-Henri; Sire, Clément
2006
Dynamical stability of collisionless stellar systems and barotropic stars: the nonlinear Antonov first law. Zbl 1096.85012
Chavanis, P. H.
2006
On the lifetime of metastable states in self-gravitating systems. Zbl 1071.85001
Chavanis, P. H.
2005
Statistical mechanics of geophysical turbulence: application to Jovian flows and Jupiter’s great red spot. Zbl 1290.76036
Chavanis, Pierre-Henri
2005
Generalized kinetic equations and effective thermodynamics. Zbl 1235.82060
Chavanis, Pierre-Henri
2004
On the analogy between self-gravitating Brownian particles and bacterial populations. Zbl 1055.92005
Chavanis, Pierre-Henri; Ribot, Magali; Rosier, Carole; Sire, Clément
2004
Gravitational collapse of a Brownian gas. Zbl 1056.92008
Sire, Clément; Chavanis, Pierre-Henri
2004
Gravitational instability of isothermal and polytropic spheres. Zbl 1022.85001
Chavanis, P. H.
2003
Gravitational instability of finite isothermal spheres. Zbl 1060.85511
Chavanis, P. H.
2002
Statistical mechanics of violent relaxation in stellar systems. Zbl 1010.35108
Chavanis, Pierre-Henri
2002
Gravitational instability of slowly rotating isothermal spheres. Zbl 1029.85002
Chavanis, P. H.
2002
The spatial correlations in the velocities arising from a random distribution of point vortices. Zbl 1184.76095
Chavanis, Pierre-Henri; Sire, Clément
2001
Erratum: ”Maximum entropy versus minimum enstrophy vortices” [Phys. Fluids 11, 3465 (1999)]. Zbl 1149.76326
Brands, H.; Chavanis, P. H.; Pasmanter, R.; Sommeria, J.
2000
Particle aggregation in a turbulent keplerian flow. Zbl 1147.76336
Bracco, A.; Chavanis, P. H.; Provenzale, A.; Spiegel, E. A.
1999
Maximum entropy versus minimum enstrophy vortices. Zbl 1149.76325
Brands, H.; Chavanis, P. H.; Pasmanter, R.; Sommeria, J.
1999
Classification of robust vortices in two-dimensional hydrodynamics. Zbl 0912.76011
Chavanis, P. H.; Sommeria, J.
1998
Classification of self-organized vortices in two-dimensional turbulence: The case of a bounded domain. Zbl 0864.76037
Chavanis, P. H.; Sommeria, J.
1996
all top 5

#### Cited by 242 Authors

 14 Chavanis, Pierre-Henri 6 Bouchet, Freddy 6 Stańczy, Robert 5 Lemou, Mohammed 4 Clercx, Herman J. H. 4 Méhats, Florian 3 Calvez, Vincent 3 Carrillo de la Plata, José Antonio 3 Dolbeault, Jean 3 Esler, J. G. 3 Hoffmann, Franca 3 Nobre, Fernando D. 3 van Heijst, Gert-Jan F. 3 Venaille, Antoine 2 Bors, Dorota 2 Campa, Alessandro 2 Casas, Gabriela A. 2 Casciola, Carlo Massimo 2 Erban, Radek 2 Franz, Benjamin 2 Granero Belinchón, Rafael 2 Kaminski Lenzi, Ervin 2 Laurent, Frédérique 2 Lenzi, Marcelo K. 2 Luz, Ana Maria 2 Majda, Andrew J. 2 Massot, Marc 2 Painter, Kevin J. 2 Pasmanter, Rubén A. 2 Picano, Francesco 2 Raphael, Pierre 2 Ribeiro, Mauricio S. 2 Ricciardi, Tonia 2 Sire, Clément 2 Sommeria, Joel 2 Suzuki, Takashi 2 Takahashi, Ryo 2 Tél, Tamás 2 Tsallis, Constantino 1 Alves, Nelson A. 1 Amato, M. A. 1 Amodio, Pierluigi 1 Anastopoulos, Charis 1 Andersson, Lars Åke 1 Appert-Rolland, Cécile 1 Aronna, María Soledad 1 Arumugam, Gurusamy 1 Ascasibar, Yago 1 Ashbee, T. L. 1 Assis, Vladimir R. V. 1 Bacha, Mustapha 1 Badin, Gualtiero 1 Bagchi, Debarshee 1 Barbu, Viorel 1 Barkai, Eli 1 Bartolucci, Daniele 1 Baskaran, Arvind 1 Bec, Jérémie 1 Bedrossian, Jacob 1 Belotserkovskiĭ, Oleg Mikhaĭlovich 1 Benczik, I. J. 1 Benetti, Fernanda P. C. 1 Bertozzi, Andrea Louise 1 Blanchet, Adrien 1 Boatto, Stefanella 1 Boffetta, Guido 1 Borsche, Raul 1 Bournaveas, Nikolaos 1 Brumen, Milan 1 Buisine, Daniel 1 Burtscher, Annegret Y. 1 Caillol, Philippe 1 Callender, Craig 1 Capel, Hans W. 1 Casetti, Lapo 1 Chacón, Luis 1 Chaplygin, Sergeĭ Alekseevich 1 Chatterjee, Prasanta 1 Chechetkin, Valeriĭ Mikhaĭlovich 1 Chechkin, Aleksei V. 1 Chiffaudel, Arnaud 1 Choi, Jung-Il 1 Chun, Soomin 1 Cirto, Leonardo J. L. 1 Conti, Giovanni 1 Curado, Evaldo M. F. 1 da Rocha Filho, Tarcísio Marciano 1 da Silva, Luciano R. 1 Daitche, Anton 1 Daviaud, François 1 David, Tomos W. 1 De Lillo, F. 1 Dechant, Andreas 1 Decossin, Stéphane 1 Degond, Pierre 1 Del Pino, Manuel A. 1 den Hollander, Frank 1 DiBattista, Mark T. 1 Dmitruk, Pablo 1 dos Santos, Maike A. F. ...and 142 more Authors
all top 5

#### Cited in 64 Serials

 15 Physics of Fluids 13 Journal of Statistical Physics 7 Journal of Fluid Mechanics 7 Physica D 7 The European Physical Journal B. Condensed Matter and Complex Systems 5 Journal of Computational Physics 4 International Journal of Modern Physics B 3 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Physics 3 Physica A 3 Theoretical and Computational Fluid Dynamics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Chaos 3 Entropy 2 Astrophysics and Space Science 2 Communications in Mathematical Physics 2 Physics Reports 2 Applied Mathematics and Computation 2 Journal of Differential Equations 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physical Review E. Third Series 2 Journal of Statistical Mechanics: Theory and Experiment 2 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Modern Physics A 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Geophysical and Astrophysical Fluid Dynamics 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Transport Theory and Statistical Physics 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Monatshefte für Mathematik 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Communications in Partial Differential Equations 1 Proceedings of the National Academy of Sciences of the United States of America 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 International Journal of Modern Physics D 1 Calculus of Variations and Partial Differential Equations 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Journal of Mechanics. B. Fluids 1 Regular and Chaotic Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Russian Physics Journal 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Discrete and Continuous Dynamical Systems. Series B 1 Foundations of Physics 1 Kinetic and Related Models 1 Journal of Theoretical Biology 1 ISRN Mathematical Physics 1 Séminaire Laurent Schwartz. EDP et Applications 1 Nelineĭnaya Dinamika
all top 5

#### Cited in 26 Fields

 61 Fluid mechanics (76-XX) 57 Partial differential equations (35-XX) 47 Statistical mechanics, structure of matter (82-XX) 18 Biology and other natural sciences (92-XX) 15 Astronomy and astrophysics (85-XX) 14 Probability theory and stochastic processes (60-XX) 11 Dynamical systems and ergodic theory (37-XX) 5 Numerical analysis (65-XX) 5 Mechanics of particles and systems (70-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Relativity and gravitational theory (83-XX) 5 Geophysics (86-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 2 Ordinary differential equations (34-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Differential geometry (53-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)