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## Bonnet, Alexis

Compute Distance To:
 Author ID: bonnet.alexis Published as: Bonnet, Alexis; Bonnet, A. External Links: IdRef · MGP · Wikidata · dblp Awards: EMS Prize (1996)
 Documents Indexed: 24 Publications since 1992, including 1 Book
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#### Co-Authors

 12 single-authored 4 Monneau, Régis 3 Berestycki, Henri 3 Chapman, Stephen Jonathan 2 Larrouturou, Bernard 1 David, Guy 1 Dkhil, Fathi 1 Hamel, François 1 Kamin, Shoshana 1 Logak, Elisabeth 1 Sainsaulieu, Lionel 1 van Duijn, Cornelis Johannes
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#### Serials

 6 Comptes Rendus de l’Académie des Sciences. Série I 3 SIAM Journal on Mathematical Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Manuscripta Mathematica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 European Journal of Applied Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série II 1 Communications on Applied Nonlinear Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Interfaces and Free Boundaries 1 Nonlinear Analysis. Real World Applications 1 Astérisque 1 Advances in Nonlinear Analysis 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 10 Partial differential equations (35-XX) 8 Fluid mechanics (76-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Ordinary differential equations (34-XX) 5 Biology and other natural sciences (92-XX) 4 Computer science (68-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

17 Publications have been cited 149 times in 132 Documents Cited by Year
Existence of nonplanar solutions of a simple model of premixed Bunsen flames. Zbl 0942.35072
Bonnet, Alexis; Hamel, François
1999
On the regularity of edges in image segmentation. Zbl 0883.49004
Bonnet, A.
1996
A semi-elliptic system arising in the theory of type-II superconductivity. Zbl 0866.35030
Berestycki, H.; Bonnet, A.; Chapman, S. J.
1994
Cracktip is a global Mumford-Shah minimizer. Zbl 1014.49009
Bonnet, Alexis; David, Guy
2001
A deformation lemma on a $$C^ 1$$ manifold. Zbl 0801.57023
Bonnet, Alexis
1993
Convergence of Meissner minimizers of the Ginzburg-Landau energy of superconductivity as $$\kappa\to +\infty$$. Zbl 0970.35031
Bonnet, A.; Chapman, S. J.; Monneau, R.
2000
Distribution of vortices in a type-II superconductor as a free boundary problem: Existence and regularity via Nash-Moser theory. Zbl 0989.35146
Bonnet, A.; Monneau, R.
2000
Travelling waves for planar flames with complex chemistry reaction network. Zbl 0739.34034
Bonnet, Alexis
1992
On the stability of multiple steady planar flames when the Lewis number is less than 1. Zbl 0802.76090
Bonnet, Alexis; Larrouturou, Bernard; Sainsaulieu, Lionel
1993
Non-uniqueness for flame propagation when the Lewis number is less than 1. Zbl 0840.76088
Bonnet, Alexis
1995
On the regularity of the edge set of Mumford-Shah minimizers. Zbl 0916.49030
Bonnet, Alexis
1996
Propagation of flames in the limit of zero ignition temperature. Zbl 0884.34034
Bonnet, Alexis
1997
Travelling-wave solutions to combustion models for a reversible reaction. Zbl 0866.34017
Bonnet, Alexis
1996
Front instability in a condensed phase combustion model. Zbl 1330.35209
Bonnet, Alexis; Dkhil, Fathi; Logak, Elisabeth
2015
A stationary flow in a strip. Zbl 0921.35125
Bonnet, A.; Kamin, S.
1999
On the mushy region arising between two fluids in a porous medium. Zbl 1075.35114
Bonnet, A.; Monneau, R.
2004
Non-unicité dans le modèle de propagation de flamme plane quand le nombre de Lewis est inférieur à 1. (Non-uniqueness for planar flame propagation model when Lewis number is less than 1). Zbl 0753.34004
Bonnet, Alexis
1992
Front instability in a condensed phase combustion model. Zbl 1330.35209
Bonnet, Alexis; Dkhil, Fathi; Logak, Elisabeth
2015
On the mushy region arising between two fluids in a porous medium. Zbl 1075.35114
Bonnet, A.; Monneau, R.
2004
Cracktip is a global Mumford-Shah minimizer. Zbl 1014.49009
Bonnet, Alexis; David, Guy
2001
Convergence of Meissner minimizers of the Ginzburg-Landau energy of superconductivity as $$\kappa\to +\infty$$. Zbl 0970.35031
Bonnet, A.; Chapman, S. J.; Monneau, R.
2000
Distribution of vortices in a type-II superconductor as a free boundary problem: Existence and regularity via Nash-Moser theory. Zbl 0989.35146
Bonnet, A.; Monneau, R.
2000
Existence of nonplanar solutions of a simple model of premixed Bunsen flames. Zbl 0942.35072
Bonnet, Alexis; Hamel, François
1999
A stationary flow in a strip. Zbl 0921.35125
Bonnet, A.; Kamin, S.
1999
Propagation of flames in the limit of zero ignition temperature. Zbl 0884.34034
Bonnet, Alexis
1997
On the regularity of edges in image segmentation. Zbl 0883.49004
Bonnet, A.
1996
On the regularity of the edge set of Mumford-Shah minimizers. Zbl 0916.49030
Bonnet, Alexis
1996
Travelling-wave solutions to combustion models for a reversible reaction. Zbl 0866.34017
Bonnet, Alexis
1996
Non-uniqueness for flame propagation when the Lewis number is less than 1. Zbl 0840.76088
Bonnet, Alexis
1995
A semi-elliptic system arising in the theory of type-II superconductivity. Zbl 0866.35030
Berestycki, H.; Bonnet, A.; Chapman, S. J.
1994
A deformation lemma on a $$C^ 1$$ manifold. Zbl 0801.57023
Bonnet, Alexis
1993
On the stability of multiple steady planar flames when the Lewis number is less than 1. Zbl 0802.76090
Bonnet, Alexis; Larrouturou, Bernard; Sainsaulieu, Lionel
1993
Travelling waves for planar flames with complex chemistry reaction network. Zbl 0739.34034
Bonnet, Alexis
1992
Non-unicité dans le modèle de propagation de flamme plane quand le nombre de Lewis est inférieur à 1. (Non-uniqueness for planar flame propagation model when Lewis number is less than 1). Zbl 0753.34004
Bonnet, Alexis
1992
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#### Cited by 152 Authors

 10 Wang, Zhi Cheng 9 Bu, Zhenhui 9 Hamel, François 7 Lemenant, Antoine 7 Pan, Xingbin 6 Monneau, Régis 6 Sheng, WeiJie 5 Berestycki, Henri 5 Wang, Zhi Cheng 4 Bonnet, Alexis 4 Fusco, Nicola 4 Leoni, Giovanni 4 Li, Wan-Tong 4 Morini, Massimiliano 3 Bao, Xiongxiong 3 Fonseca, Irene 3 Ma, Luyi 3 Maia, Liliane A. 3 Niu, Hong-Tao 3 Serfaty, Sylvia 3 Wick, Thomas 3 Xiang, Xingfei 3 Yu, Wanghui 2 Aftalion, Amandine 2 Carriero, Michele 2 Chambolle, Antonin 2 Daou, Joel 2 De Lellis, Camillo 2 Endtmayer, Bernhard 2 Focardi, Matteo 2 Haragus, Mariana 2 Khatib, Alireza 2 Leaci, Antonio 2 Léger, Jean-Christophe 2 Mikayelyan, Hayk 2 Molica Bisci, Giovanni 2 Ninomiya, Hirokazu 2 Roquejoffre, Jean-Michel 2 Ruan, Shigui 2 Sandier, Etienne 2 Scheel, Arnd 2 Sire, Yannick 2 Spirn, Daniel P. 2 Tomarelli, Franco 2 Volpert, Vitaly A. 1 Acerbi, Emilio 1 Ambrosio, Luigi 1 Bartolo, Rossella 1 Bates, Peter W. 1 Bourdin, Blaise 1 Brancolini, Alessio 1 Bulanyi, Bohdan 1 Cagnetti, Filippo 1 Cao, Meiling 1 Carioni, Marcello 1 Chapman, Stephen Jonathan 1 Chen, Xinfu 1 Clapp, Mónica 1 Collet, Pierre 1 Cremers, Daniel 1 Cuesta, Mabel 1 David, Guy 1 Davoli, Elisa 1 Guedes de Figueiredo, Djairo 1 De Pauw, Thierry 1 Degiovanni, Marco 1 Del Pino, Manuel A. 1 Dolbeault, Jean 1 D’Onofrio, Luigi 1 Du, Yihong 1 Ducrot, Arnaud 1 El Badia, Abdellatif 1 El Hajj, Ahmad 1 Fiscella, Alessio 1 Francfort, Gilles A. 1 Ghazaryan, Anna 1 Giovangigli, Vincent 1 Goel, Divya 1 Gossez, Jean-Pierre 1 Gravina, Giovanni 1 Gui, Changfeng 1 Guo, Hongjun 1 Guo, Jong-Shenq 1 Hao, Xiaoling 1 Horák, Jiri V. 1 Huang, Rui 1 Hupkes, Hermen Jan 1 Iyer, Gautam 1 Jazar, Mustapha 1 Kowalczyk, Michał 1 Kriventsov, Dennis 1 Lafortune, Stéphane 1 Lamboley, Jimmy 1 Lancelotti, Sergio 1 Langer, Ulrich 1 Larrouturou, Bernard 1 Laurent, Frédérique 1 Léger, Alain 1 Li, Kun 1 Li, Zhilin ...and 52 more Authors
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#### Cited in 59 Serials

 8 Journal of Differential Equations 6 Archive for Rational Mechanics and Analysis 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Communications on Pure and Applied Mathematics 5 Journal of Mathematical Analysis and Applications 5 Calculus of Variations and Partial Differential Equations 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Nonlinear Analysis. Real World Applications 4 Communications on Pure and Applied Analysis 3 Journal of Mathematical Physics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Physica D 3 Applied Mathematics Letters 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Computers & Mathematics with Applications 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Duke Mathematical Journal 2 Communications in Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Combustion Theory and Modelling 2 Advanced Nonlinear Studies 2 Milan Journal of Mathematics 2 Boundary Value Problems 2 Science China. Mathematics 1 Communications in Mathematical Physics 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Computational and Applied Mathematics 1 Manuscripta Mathematica 1 Numerische Mathematik 1 Rendiconti del Seminario Matematico della Università di Padova 1 Circuits, Systems, and Signal Processing 1 Computational Mechanics 1 European Journal of Applied Mathematics 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Convex Analysis 1 Fractional Calculus & Applied Analysis 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Journal of Numerical Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Analysis and Applications (Singapore) 1 SIAM Journal on Imaging Sciences 1 Journal of Elliptic and Parabolic Equations 1 Bollettino dell’Unione Matematica Italiana
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#### Cited in 25 Fields

 97 Partial differential equations (35-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 20 Statistical mechanics, structure of matter (82-XX) 14 Classical thermodynamics, heat transfer (80-XX) 11 Mechanics of deformable solids (74-XX) 11 Fluid mechanics (76-XX) 10 Information and communication theory, circuits (94-XX) 9 Numerical analysis (65-XX) 8 Ordinary differential equations (34-XX) 8 Biology and other natural sciences (92-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Operator theory (47-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)

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