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## Paoli, Laetitia A.

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 Author ID: paoli.laetitia-a Published as: Paoli, Laetitia; Paoli, Laetitia A.; Paoli, Lætitia External Links: MGP
 Documents Indexed: 53 Publications since 1993
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#### Co-Authors

 15 single-authored 10 Schatzman, Michelle 9 Boukrouche, Mahdi 7 Petrov, Adrien 4 Boussetouan, Imane 3 Meliani, Salha 3 Mielke, Alexander 2 Dumont, Yves 2 Dzonou, Raoul 2 Mikelić, Andro 2 Monteiro Marques, Manuel D. P. 2 Shillor, Meir 2 Ziane, Fatima 1 Cabot, Alexandre 1 Panasenko, Grigory P. 1 Stefanelli, Ulisse
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#### Serials

 4 SIAM Journal on Mathematical Analysis 4 Nonlinear Analysis. Real World Applications 3 Applicable Analysis 3 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Numerical Analysis 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Mathematical Methods in the Applied Sciences 1 Mathematics and Computers in Simulation 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Asymptotic Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Convex Analysis 1 Discrete and Continuous Dynamical Systems 1 Mathematics and Mechanics of Solids 1 Multibody System Dynamics 1 Nonlinear Dynamics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Computational Geosciences 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 GAMM-Mitteilungen 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Discrete and Continuous Dynamical Systems. Series S 1 Confluentes Mathematici 1 Evolution Equations and Control Theory
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#### Fields

 21 Mechanics of deformable solids (74-XX) 20 Partial differential equations (35-XX) 17 Mechanics of particles and systems (70-XX) 15 Ordinary differential equations (34-XX) 13 Numerical analysis (65-XX) 13 Fluid mechanics (76-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX)

#### Citations contained in zbMATH Open

40 Publications have been cited 266 times in 137 Documents Cited by Year
A numerical scheme for impact problems. I: The one-dimensional case. Zbl 1021.65065
Paoli, Laetitia; Schatzman, Michelle
2002
A numerical scheme for impact problems. II: The multidimensional case. Zbl 1027.65093
Paoli, Laetitia; Schatzman, Michelle
2002
Error estimates for space-time discretizations of a rate-independent variational inequality. Zbl 1219.65059
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien; Stefanelli, Ulisse
2010
Continuous dependence on data for vibro-impact problems. Zbl 1079.34006
Paoli, Laetitia
2005
Penalty approximation for dynamical systems submitted to multiple non-smooth constraints. Zbl 1314.70018
Paoli, Laetitia; Schatzman, Michelle
2002
Time discretization of vibro-impact. Zbl 1067.70012
Paoli, Laetitia
2001
On existence and approximation for a 3D model of thermally induced phase transformations in shape-memory alloys. Zbl 1201.49011
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien
2009
Vibrations of a beam between obstacles. Convergence of a fully discretized approximation. Zbl 1106.74057
Dumont, Yves; Paoli, Laetitia
2006
An existence result for non-smooth vibro-impact problems. Zbl 1078.34004
Paoli, Laetitia
2005
Homogenization of the inviscid incompressible fluid flow through a 2D porous medium. Zbl 0922.35136
Mikelic, Andro; Paoli, Laetitia
1999
A convergence result for a vibro-impact problem with a general inertia operator. Zbl 1183.70059
Dzonou, Raoul; Monteiro Marques, Manuel D. P.; Paoli, Laetitia
2009
Asymptotic analysis of a micropolar fluid flow in a thin domain with a free and rough boundary. Zbl 1259.35164
Boukrouche, Mahdi; Paoli, Laetitia
2012
Penalty approximation for non-smooth constraints in vibroimpact. Zbl 1001.34009
Paoli, Lætitia; Schatzman, Michelle
2001
On the derivation of the Buckley-Leverett model from the two fluid Navier-Stokes equations in a thin domain. Zbl 0940.76092
Mikelić, Andro; Paoli, Laetitia
1997
Non-isothermal Navier-Stokes system with mixed boundary conditions and friction law: uniqueness and regularity properties. Zbl 1452.76042
Boukrouche, Mahdi; Boussetouan, Imane; Paoli, Laetitia
2014
Approximation and existence in vibro-impact. Zbl 0940.65147
Paoli, Laetitia; Schatzman, Michelle
1999
Numerical simulation of the dynamics of an impacting bar. Zbl 1119.74034
Paoli, Laetitia; Schatzman, Michelle
2007
An existence result for vibrations with unilateral constraints: case of a nonsmooth set of constraints. Zbl 1020.34013
Paoli, Laetitia A.
2000
Existence for non-isothermal fluid flows with Tresca’s friction and Cattaneo’s heat law. Zbl 1343.80003
Boukrouche, Mahdi; Boussetouan, Imane; Paoli, Laetitia
2015
Solvability for a class of generalized standard materials with thermomechanical coupling. Zbl 1260.80004
2013
Global existence result for thermoviscoelastic problems with hysteresis. Zbl 1238.35157
2012
Asymptotics for some vibro-impact problems with a linear dissipation term. Zbl 1136.49010
Cabot, Alexandre; Paoli, Laetitia
2007
Asymptotic behavior of a two fluid flow in a thin domain: from Stokes equations to Buckley-Leverett equation and Reynolds law. Zbl 1135.35359
Paoli, Laetitia
2003
Vibrations with unilateral constraints and loss of energy at impacts in finite dimension. Zbl 0783.70018
Paoli, Laetitia; Schatzman, Michelle
1993
Vibro-impact problems with dry friction. II: Tangential contacts and frictional catastrophes. Zbl 1351.34019
Paoli, Laetitia
2016
Vibro-impact problems with dry friction. I: Existence result. Zbl 1329.34046
Paoli, Laetitia
2015
Thermodynamics of multiphase problems in viscoelasticity. Zbl 1255.74012
2012
Numerical scheme for a model of vibrations with unilateral constraints and loss of energy at impacts, in finite dimension. Zbl 0782.70004
Paoli, Laetitia; Schatzman, Michelle
1993
Vibrations of a beam between two rigid stops: strong solutions in the framework of vector-valued measures. Zbl 1394.35289
Paoli, Laetitia; Shillor, Meir
2018
Numerical analysis of a model of cure process for composites. Zbl 1113.74088
Meliani, Salha; Paoli, Laetitia
2007
Unsteady micropolar fluid flow in a thin domain with Tresca fluid-solid interface law. Zbl 1442.76124
Boukrouche, M.; Paoli, Laetitia; Ziane, F.
2019
Existence and approximation for Navier-Stokes system with Tresca’s friction at the boundary and heat transfer governed by Cattaneo’s law. Zbl 1404.76071
Boukrouche, Mahdi; Boussetouan, Imane; Paoli, Laetitia
2018
Global existence for 3D non-stationary Stokes flows with Coulomb’s type friction boundary conditions. Zbl 1391.76091
Boukrouche, Mahdi; Paoli, Laetitia
2018
Multibody dynamics with unilateral constraints and dry friction: how the contact dynamics approach may handle Coulomb’s law indeterminacies? Zbl 1348.49027
Paoli, Laetitia
2016
Dynamic contact of a beam against rigid obstacles: convergence of a velocity-based approximation and numerical results. Zbl 1326.74098
Dumont, Yves; Paoli, Laetitia
2015
‘Sweeping process’ algorithm for a vibro-impact problem with a nontrivial inertia operator. Zbl 1211.74171
Dzonou, Raoul; Monteiro Marques, Manuel D. P.; Paoli, Laetitia
2007
Vibro-impact problems: study of the dependence on the data. Zbl 1101.34003
Paoli, Laetitia
2004
Homogenization of a model of cure process for composites. Zbl 1037.35019
Meliani, Salha; Paoli, Laetitia
2004
Understanding impact through continuous medium vibrations. Zbl 1053.74598
Paoli, Lætitia; Schatzman, Michelle
2002
Non-convex aspects of dynamics with impact. Zbl 1220.70013
Paoli, Lætitia; Schatzman, Michelle
2001
Unsteady micropolar fluid flow in a thin domain with Tresca fluid-solid interface law. Zbl 1442.76124
Boukrouche, M.; Paoli, Laetitia; Ziane, F.
2019
Vibrations of a beam between two rigid stops: strong solutions in the framework of vector-valued measures. Zbl 1394.35289
Paoli, Laetitia; Shillor, Meir
2018
Existence and approximation for Navier-Stokes system with Tresca’s friction at the boundary and heat transfer governed by Cattaneo’s law. Zbl 1404.76071
Boukrouche, Mahdi; Boussetouan, Imane; Paoli, Laetitia
2018
Global existence for 3D non-stationary Stokes flows with Coulomb’s type friction boundary conditions. Zbl 1391.76091
Boukrouche, Mahdi; Paoli, Laetitia
2018
Vibro-impact problems with dry friction. II: Tangential contacts and frictional catastrophes. Zbl 1351.34019
Paoli, Laetitia
2016
Multibody dynamics with unilateral constraints and dry friction: how the contact dynamics approach may handle Coulomb’s law indeterminacies? Zbl 1348.49027
Paoli, Laetitia
2016
Existence for non-isothermal fluid flows with Tresca’s friction and Cattaneo’s heat law. Zbl 1343.80003
Boukrouche, Mahdi; Boussetouan, Imane; Paoli, Laetitia
2015
Vibro-impact problems with dry friction. I: Existence result. Zbl 1329.34046
Paoli, Laetitia
2015
Dynamic contact of a beam against rigid obstacles: convergence of a velocity-based approximation and numerical results. Zbl 1326.74098
Dumont, Yves; Paoli, Laetitia
2015
Non-isothermal Navier-Stokes system with mixed boundary conditions and friction law: uniqueness and regularity properties. Zbl 1452.76042
Boukrouche, Mahdi; Boussetouan, Imane; Paoli, Laetitia
2014
Solvability for a class of generalized standard materials with thermomechanical coupling. Zbl 1260.80004
2013
Asymptotic analysis of a micropolar fluid flow in a thin domain with a free and rough boundary. Zbl 1259.35164
Boukrouche, Mahdi; Paoli, Laetitia
2012
Global existence result for thermoviscoelastic problems with hysteresis. Zbl 1238.35157
2012
Thermodynamics of multiphase problems in viscoelasticity. Zbl 1255.74012
2012
Error estimates for space-time discretizations of a rate-independent variational inequality. Zbl 1219.65059
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien; Stefanelli, Ulisse
2010
On existence and approximation for a 3D model of thermally induced phase transformations in shape-memory alloys. Zbl 1201.49011
Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien
2009
A convergence result for a vibro-impact problem with a general inertia operator. Zbl 1183.70059
Dzonou, Raoul; Monteiro Marques, Manuel D. P.; Paoli, Laetitia
2009
Numerical simulation of the dynamics of an impacting bar. Zbl 1119.74034
Paoli, Laetitia; Schatzman, Michelle
2007
Asymptotics for some vibro-impact problems with a linear dissipation term. Zbl 1136.49010
Cabot, Alexandre; Paoli, Laetitia
2007
Numerical analysis of a model of cure process for composites. Zbl 1113.74088
Meliani, Salha; Paoli, Laetitia
2007
‘Sweeping process’ algorithm for a vibro-impact problem with a nontrivial inertia operator. Zbl 1211.74171
Dzonou, Raoul; Monteiro Marques, Manuel D. P.; Paoli, Laetitia
2007
Vibrations of a beam between obstacles. Convergence of a fully discretized approximation. Zbl 1106.74057
Dumont, Yves; Paoli, Laetitia
2006
Continuous dependence on data for vibro-impact problems. Zbl 1079.34006
Paoli, Laetitia
2005
An existence result for non-smooth vibro-impact problems. Zbl 1078.34004
Paoli, Laetitia
2005
Vibro-impact problems: study of the dependence on the data. Zbl 1101.34003
Paoli, Laetitia
2004
Homogenization of a model of cure process for composites. Zbl 1037.35019
Meliani, Salha; Paoli, Laetitia
2004
Asymptotic behavior of a two fluid flow in a thin domain: from Stokes equations to Buckley-Leverett equation and Reynolds law. Zbl 1135.35359
Paoli, Laetitia
2003
A numerical scheme for impact problems. I: The one-dimensional case. Zbl 1021.65065
Paoli, Laetitia; Schatzman, Michelle
2002
A numerical scheme for impact problems. II: The multidimensional case. Zbl 1027.65093
Paoli, Laetitia; Schatzman, Michelle
2002
Penalty approximation for dynamical systems submitted to multiple non-smooth constraints. Zbl 1314.70018
Paoli, Laetitia; Schatzman, Michelle
2002
Understanding impact through continuous medium vibrations. Zbl 1053.74598
Paoli, Lætitia; Schatzman, Michelle
2002
Time discretization of vibro-impact. Zbl 1067.70012
Paoli, Laetitia
2001
Penalty approximation for non-smooth constraints in vibroimpact. Zbl 1001.34009
Paoli, Lætitia; Schatzman, Michelle
2001
Non-convex aspects of dynamics with impact. Zbl 1220.70013
Paoli, Lætitia; Schatzman, Michelle
2001
An existence result for vibrations with unilateral constraints: case of a nonsmooth set of constraints. Zbl 1020.34013
Paoli, Laetitia A.
2000
Homogenization of the inviscid incompressible fluid flow through a 2D porous medium. Zbl 0922.35136
Mikelic, Andro; Paoli, Laetitia
1999
Approximation and existence in vibro-impact. Zbl 0940.65147
Paoli, Laetitia; Schatzman, Michelle
1999
On the derivation of the Buckley-Leverett model from the two fluid Navier-Stokes equations in a thin domain. Zbl 0940.76092
Mikelić, Andro; Paoli, Laetitia
1997
Vibrations with unilateral constraints and loss of energy at impacts in finite dimension. Zbl 0783.70018
Paoli, Laetitia; Schatzman, Michelle
1993
Numerical scheme for a model of vibrations with unilateral constraints and loss of energy at impacts, in finite dimension. Zbl 0782.70004
Paoli, Laetitia; Schatzman, Michelle
1993
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#### Cited by 188 Authors

 22 Paoli, Laetitia A. 9 Renard, Yves 9 Stefanelli, Ulisse 7 Boukrouche, Mahdi 7 Brogliato, Bernard 6 Miller, Boris Mikhaĭlovich 5 Acary, Vincent 5 Lacave, Christophe 4 Bentsman, Joseph 4 Boussetouan, Imane 4 Krejčí, Pavel 3 Bessoud, Anne Laure 3 Brüls, Olivier 3 Glocker, Christoph 3 Ivanov, Aleksandr Pavlovich 3 Masmoudi, Nader 3 Mikelić, Andro 3 Monteiro Marques, Manuel D. P. 3 Panasenko, Grigory P. 3 Paoli, L. 3 Pažanin, Igor 3 Petrov, Adrien 3 Rubinovich, Evgeniĭ Yakovlevich 3 Suárez-Grau, Francisco Javier 2 Auricchio, Ferdinando 2 Bayada, Guy 2 Cardona, Alberto 2 Chełmiński, Krzysztof 2 Chupin, Laurent 2 Dabaghi, Farshid 2 Dumont, Yves 2 Dzonou, Raoul 2 Farina, Angiolo 2 Fusi, Lorenzo 2 Grec, Bérénice 2 Kamenskiĭ, Mikhaĭl Igor’evich 2 Khenous, Houari Boumediène 2 Kostin, Ilya-Nikolaï 2 Laborde, Patrick 2 Leine, Remco I. 2 Makarenkov, Oleg Yuryĭovych 2 Meyer, Christian 2 Mielke, Alexander 2 Owczarek, Sebastian 2 Pousin, Jérôme Gabriel 2 Pozzolini, Cédric 2 Reali, Alessandro 2 Rindler, Filip 2 Roubíček, Tomáš 2 Salaun, Michel 2 Schatzman, Michelle 2 Schwarzacher, Sebastian 2 Shillor, Meir 2 Smyshlyaev, Valery P. 2 Studer, Christian 2 Ziane, Fatima 1 Abdessamad, Zouhair 1 Aguirre, Miquel 1 Ahn, Jeongho 1 Akhadkar, Narendra 1 Allaire, Grégoire 1 Ammar-Khodja, Farid 1 Amosov, Andreĭ Avenirovich 1 Amrouche, Chérif 1 Arnold, Matthew 1 Aujol, Jean-François 1 Avril, Stéphane 1 Azzam-Laouir, Dalila 1 Bartczak, Leszek 1 Baumann, Michael Heinrich 1 Beneš, Michal 1 Bernicot, Frédéric 1 Boatti, Elisa 1 Boltežar, Miha 1 Bonafini, Mauro 1 Bonnaillie-Noël, Virginie 1 Bonnivard, Matthieu 1 Bravo, Rafael 1 Bretin, Elie 1 Burczak, Jan 1 Cabot, A. Victor 1 Cabot, Alexandre 1 Calatroni, Luca 1 Castaing, Charles 1 Cavalieri, Federico J. 1 Champneys, Alan R. 1 Charles, Dossal 1 Chen, Qiong-Zhong 1 Chouly, Franz 1 Clopeau, Thierry 1 Cosimo, Alejandro 1 da Costa Baldez, C. A. 1 Destuynder, Philippe 1 Ding, Wangcai 1 Djoko, Jules K. 1 Dossal, Charles 1 Duan, Jinqiao 1 El Alaoui Talibi, Mohamed 1 Eleuteri, Michela 1 Fabre, Caroline ...and 88 more Authors
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#### Cited in 62 Serials

 8 Multibody System Dynamics 6 Nonlinear Analysis. Real World Applications 5 Archive for Rational Mechanics and Analysis 5 Computer Methods in Applied Mechanics and Engineering 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Journal of Computational and Applied Mathematics 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 SIAM Journal on Mathematical Analysis 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Applicable Analysis 3 Journal of Mathematical Analysis and Applications 3 International Journal for Numerical Methods in Engineering 3 Journal of Differential Equations 3 Applied Numerical Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Optimization 3 Continuum Mechanics and Thermodynamics 3 European Journal of Mechanics. A. Solids 3 Nonlinear Analysis. Hybrid Systems 2 Computers & Mathematics with Applications 2 Journal of Applied Mathematics and Mechanics 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Quarterly of Applied Mathematics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Mathematical and Computer Modelling 2 Automation and Remote Control 2 Journal of Mathematical Sciences (New York) 2 Mathematics and Mechanics of Solids 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Nonlinear Dynamics 2 Set-Valued and Variational Analysis 2 Evolution Equations and Control Theory 1 Communications in Mathematical Physics 1 International Journal of Engineering Science 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Computation 1 Automatica 1 Calcolo 1 Mathematische Annalen 1 Transactions of the American Mathematical Society 1 European Journal of Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 International Journal of Robust and Nonlinear Control 1 European Journal of Control 1 Differential Equations and Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. B. Fluids 1 Regular and Chaotic Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 SIAM Journal on Applied Dynamical Systems 1 Multiscale Modeling & Simulation 1 Mediterranean Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Science China. Mathematics 1 Afrika Matematika 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SMAI Journal of Computational Mathematics
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#### Cited in 18 Fields

 57 Partial differential equations (35-XX) 55 Mechanics of deformable solids (74-XX) 36 Mechanics of particles and systems (70-XX) 29 Fluid mechanics (76-XX) 27 Numerical analysis (65-XX) 21 Ordinary differential equations (34-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 11 Systems theory; control (93-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operations research, mathematical programming (90-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Biology and other natural sciences (92-XX)