# zbMATH — the first resource for mathematics

## Frouvelle, Amic

Compute Distance To:
 Author ID: frouvelle.amic Published as: Frouvelle, Amic
 Documents Indexed: 11 Publications since 2011
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#### Co-Authors

 1 single-authored 8 Degond, Pierre 6 Liu, Jianguo 3 Merino-Aceituno, Sara 2 Trescases, Ariane 1 Acheritogaray, Marion 1 Motsch, Sébastien 1 Navoret, Laurent 1 Raoul, Gaël
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#### Serials

 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Archive for Rational Mechanics and Analysis 1 Journal of Statistical Physics 1 SIAM Journal on Mathematical Analysis 1 Journal of Nonlinear Science 1 Multiscale Modeling & Simulation 1 Kinetic and Related Models 1 Séminaire Laurent Schwartz. EDP et Applications
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#### Fields

 10 Partial differential equations (35-XX) 10 Statistical mechanics, structure of matter (82-XX) 6 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH

11 Publications have been cited 269 times in 182 Documents Cited by Year
Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system. Zbl 1251.35076
Acheritogaray, Marion; Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
2011
Macroscopic limits and phase transition in a system of self-propelled particles. Zbl 1275.35019
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
2013
Dynamics in a kinetic model of oriented particles with phase transition. Zbl 1248.35097
Frouvelle, Amic; Liu, Jian-Guo
2012
Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics. Zbl 1311.82017
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
2015
A continuum model for alignment of self-propelled particles with anisotropy and density-dependent parameters. Zbl 1241.35200
Frouvelle, Amic
2012
A new flocking model through body attitude coordination. Zbl 1372.35308
Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara
2017
Quaternions in collective dynamics. Zbl 1382.35310
Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara; Trescases, Ariane
2018
Macroscopic models of collective motion and self-organization. Zbl 1319.35267
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo; Motsch, Sebastien; Navoret, Laurent
2014
Local stability of perfect alignment for a spatially homogeneous kinetic model. Zbl 1302.82072
Degond, Pierre; Frouvelle, Amic; Raoul, Gaël
2014
Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations. Zbl 1442.82030
Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara; Trescases, Ariane
2019
Long-time dynamics for a simple aggregation equation on the sphere. Zbl 1442.82031
Frouvelle, Amic; Liu, Jian-Guo
2019
Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations. Zbl 1442.82030
Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara; Trescases, Ariane
2019
Long-time dynamics for a simple aggregation equation on the sphere. Zbl 1442.82031
Frouvelle, Amic; Liu, Jian-Guo
2019
Quaternions in collective dynamics. Zbl 1382.35310
Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara; Trescases, Ariane
2018
A new flocking model through body attitude coordination. Zbl 1372.35308
Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara
2017
Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics. Zbl 1311.82017
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
2015
Macroscopic models of collective motion and self-organization. Zbl 1319.35267
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo; Motsch, Sebastien; Navoret, Laurent
2014
Local stability of perfect alignment for a spatially homogeneous kinetic model. Zbl 1302.82072
Degond, Pierre; Frouvelle, Amic; Raoul, Gaël
2014
Macroscopic limits and phase transition in a system of self-propelled particles. Zbl 1275.35019
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
2013
Dynamics in a kinetic model of oriented particles with phase transition. Zbl 1248.35097
Frouvelle, Amic; Liu, Jian-Guo
2012
A continuum model for alignment of self-propelled particles with anisotropy and density-dependent parameters. Zbl 1241.35200
Frouvelle, Amic
2012
Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system. Zbl 1251.35076
Acheritogaray, Marion; Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
2011
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#### Cited by 234 Authors

 24 Degond, Pierre 13 Zhou, Yong 12 Ha, Seung-Yeal 11 Fan, Jishan 10 Carrillo de la Plata, José Antonio 9 Chae, Dongho 6 Bellomo, Nicola 6 Frouvelle, Amic 6 Kim, Dohyun 6 Liu, Jianguo 6 Yamazaki, Kazuo 5 Hayat, Tasawar 5 Nakamura, Gen 5 Wan, Renhui 5 Zhu, Mingxuan 4 Brezzi, Franco 4 Merino-Aceituno, Sara 4 Motsch, Sébastien 4 Park, Hansol 4 Peurichard, Diane 4 Soler, Juan S. 4 Weng, Shangkun 4 Yu, Hui 4 Yuan, Baoquan 4 Zhao, Xiaopeng 3 Ahmad, Bashir 3 Barré, Julien 3 Gala, Sadek 3 Jiang, Ning 3 Ma, Caochuan 3 Navoret, Laurent 3 Ragusa, Maria Alessandra 3 Tan, Zhong 3 Wolf, Jörg 3 Zatorska, Ewelina 3 Zhang, Tengfei 2 Alghamdi, Ahmad Mohammad 2 Al-saedi, Ahmed Eid Salem 2 Barbaro, Alethea B. T. 2 Bostan, Mihai 2 Cañizo, José Alfredo 2 Dai, Mimi 2 Dimarco, Giacomo 2 Filbet, Francis 2 Fukumoto, Yasuhide 2 Gao, Jincheng 2 Goudon, Thierry 2 Gvalani, Rishabh S. 2 Han, Woo Jin 2 Hwang, Hyung Ju 2 Kang, Moon-Jin 2 Kim, Jaemyoung 2 Kim, Jeongho 2 Lachowicz, Mirosław 2 Lee, Jaeseung 2 Lee, Jihoon 2 Leszczyński, Henryk 2 Li, Chaoying 2 Liu, Lvqiao 2 Luçon, Eric 2 Mac, Thi Bich Ngoc 2 Manhart, Angelika 2 Noh, Se Eun 2 Pan, Nana 2 Pareschi, Lorenzo 2 Ryan, Shawn D. 2 Schlichting, André 2 Tan, Jin 2 Tao, Qiang 2 Tong, Leilei 2 Wu, Xing 2 Xiang, Zhaoyin 2 Yang, Ying 2 Yao, Zhengan 2 Ye, Zhuan 2 Yu, Yanghai 2 Zeng, Yong 2 Zhang, Zujin 1 Albi, Giacomo 1 Amirat, Youcef Aït 1 Amorim, Paulo 1 Appert-Rolland, Cécile 1 Ariel, Gil 1 Armbruster, Dieter 1 Benedetto, Dario 1 Berlyand, Leonid V. 1 Bernardin, Cédric 1 Bie, Qunyi 1 Blanchet, Adrien 1 Bolley, François 1 Buono, Pietro-Luciano 1 Burger, Martin 1 Buttà, Paolo 1 Caffarelli, Luis Ángel 1 Caglioti, Emanuele 1 Calvez, Vincent 1 Cheng, Ming 1 Chepizhko, Oleksandr 1 Chetrite, Raphaël 1 Choi, Sun-Ho ...and 134 more Authors
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#### Cited in 59 Serials

 21 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 Journal of Statistical Physics 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Journal of Differential Equations 8 Journal of Mathematical Physics 7 Journal of Mathematical Analysis and Applications 6 Archive for Rational Mechanics and Analysis 5 Communications in Mathematical Physics 5 Applied Mathematics and Computation 5 Applied Mathematics Letters 5 Journal of Nonlinear Science 5 Journal of Mathematical Fluid Mechanics 5 Nonlinear Analysis. Real World Applications 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Discrete and Continuous Dynamical Systems 4 Multiscale Modeling & Simulation 4 Kinetic and Related Models 3 Computers & Mathematics with Applications 3 Physica D 3 Discrete and Continuous Dynamical Systems. Series B 2 Applicable Analysis 2 Journal of Computational Physics 2 Journal of Mathematical Biology 2 Journal of Computational and Applied Mathematics 2 Journal of Functional Analysis 2 Zeitschrift für Analysis und ihre Anwendungen 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 SIAM Journal on Mathematical Analysis 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Communications on Pure and Applied Analysis 1 Nonlinearity 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Annales Polonici Mathematici 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Electronic Journal of Probability 1 Vietnam Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Chaos 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Evolution Equations 1 SIAM Journal on Applied Dynamical Systems 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Journal of Physics A: Mathematical and Theoretical 1 Networks and Heterogeneous Media 1 Advances in Mathematical Physics 1 Journal of Applied Analysis and Computation 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Journal de l’École Polytechnique – Mathématiques 1 Séminaire Laurent Schwartz. EDP et Applications 1 AIMS Mathematics
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#### Cited in 27 Fields

 149 Partial differential equations (35-XX) 101 Fluid mechanics (76-XX) 52 Statistical mechanics, structure of matter (82-XX) 47 Biology and other natural sciences (92-XX) 14 Probability theory and stochastic processes (60-XX) 10 Ordinary differential equations (34-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Numerical analysis (65-XX) 6 Quantum theory (81-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of deformable solids (74-XX) 4 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)