Publications and results

2018

Journal articles

The vanishing viscosity limit for 2D Navier-Stokes in a rough domain
David Gérard-Varet, Christophe Lacave, Toan T. Nguyen, Frédéric Rousset
Journal de Mathématiques Pures et Appliquées, Elsevier, 2018, 119, pp.45-84. 〈10.1016/j.matpur.2017.10.009 〉
https://arxiv.org/pdf/1701.08808 BibTex
On the homogenization of the Stokes problem in a perforated domain
Matthieu Hillairet
Archive for Rational Mechanics and Analysis, Springer Verlag, 2018
https://hal.archives-ouvertes.fr/hal-01302560/file/HomStokesMH-vfinale.pdf BibTex
Shape optimization for a fluid-elasticity system
Jean-Francois Scheid, Jan Sokolowski
Pure and Applied Functional Analysis, Yokohama Publishers, 2018, 3 (1), pp.193-217
https://hal.archives-ouvertes.fr/hal-01449478/file/Scheid_Sokolowski_final.pdf BibTex
Bloch theory and spectral gaps for linearized water waves
Walter Craig, Maxime Gazeau, Christophe Lacave, Catherine Sulem
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2018, 50 (5), pp.5477-5501. 〈10.1137/17M113561X〉
https://arxiv.org/pdf/1706.07417 BibTex
Asymptotic behavior of 2D incompressible ideal flow around small disks
Christophe Lacave, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes
Asymptotic Analysis, IOS Press, 2018, 108 (1-2), pp.45-83. 〈10.3233/ASY-171456〉
https://arxiv.org/pdf/1510.05864 BibTex
Point vortex dynamics as zero-radius limit of the motion of a rigid body in an irrotational fluid
Olivier Glass, Alexandre Munnier, Franck Sueur
Inventiones Mathematicae, Springer Verlag, 2018, 214 (1), pp.171-287
https://hal.archives-ouvertes.fr/hal-00950544/file/vpoint.pdf BibTex
Local controllability to stationary trajectories of a one-dimensional simplified model arising in turbulence
Sorin Micu, Takéo Takahashi
Journal of Differential Equations, Elsevier, 2018
https://hal.archives-ouvertes.fr/hal-01572317/file/turbulence20170704.pdf BibTex
Mathematical analysis of the motion of a rigid body in a compressible Navier-Stokes-Fourier fluid
Bernhard H. Haak, Debayan Maity, Takéo Takahashi, Marius Tucsnak
Mathematical News / Mathematische Nachrichten, Wiley-VCH Verlag, In press
https://hal.archives-ouvertes.fr/hal-01619647/file/BHDMMTTT-final-arxiv.pdf BibTex
Calderón cavities inverse problem as a shape-from-moments problem
Alexandre Munnier, Karim Ramdani
Quarterly of Applied Mathematics, American Mathematical Society, In press, 76, pp.407-435. 〈10.1090/qam/1505〉
https://hal.inria.fr/hal-01503425/file/particles_reconstruction_SOUMIS.pdf BibTex

Preprints, Working Papers, …

Vorticity and stream function formulations for the 2d Navier-Stokes equations in a bounded domain
Julien Lequeurre, Alexandre Munnier
2018
https://hal.archives-ouvertes.fr/hal-01891763/file/NS_vorticity_2D_v4.pdf BibTex
The Euler Equations in Planar Domains with Corners
Christophe Lacave, Andrej Zlatos
IF_PREPUB. 2018
https://arxiv.org/pdf/1811.02704 BibTex
On the derivation of a Stokes-Brinkman problem from Stokes equations around a random array of moving spheres
Kleber Carrapatoso, Matthieu Hillairet
2018
https://hal.archives-ouvertes.fr/hal-01779091/file/KC-MHv37.pdf BibTex
A WELL-POSEDNESS RESULT FOR VISCOUS COMPRESSIBLE FLUIDS WITH ONLY BOUNDED DENSITY
Raphaël Danchin, Francesco Fanelli, Marius Paicu
2018
https://hal.archives-ouvertes.fr/hal-01778175/file/DFP_compr-NS.pdf BibTex
A CONSERVATION LAW WITH SPATIALLY LOCALIZED SUBLINEAR DAMPING
Christophe Besse, Rémi Carles, Sylvain Ervedoza
2018
https://hal.archives-ouvertes.fr/hal-01741189/file/ms.pdf BibTex

2017

Journal articles

The cost of the control in the case of a minimal time of control: the example of the one-dimensional heat equation
Pierre Lissy
Journal of Mathematical Analysis and Applications, Elsevier, 2017, 451 (1), 〈http://www.sciencedirect.com/science/article/pii/S0022247X17301361〉〈10.1016/j.jmaa.2017.01.096〉
https://hal.archives-ouvertes.fr/hal-01329873/file/MinTimeCost.pdf BibTex
A Kalman rank condition for the indirect controllability of coupled systems of linear operator groups
Thibault Liard, Pierre Lissy
Mathematics of Control, Signals, and Systems, Springer Verlag, 2017, 29 (2), 〈10.1007/s00498-017-0193-x〉
https://hal.archives-ouvertes.fr/hal-01298367/file/CouplingSchroWave%202.pdf BibTex
Construction of Gevrey functions with compact support using the Bray-Mandelbrojt iterative process and applications to the moment method in control theory
Pierre Lissy
Mathematical Control and Related Fields, AIMS, 2017, 7 (1), pp.21-40. 〈10.3934/mcrf.2017002〉
https://hal.archives-ouvertes.fr/hal-01245852/file/upper.pdf BibTex
Fluid-rigid structure interaction system with Coulomb’s law
Loredana Bălilescu, Jorge San Martín, Takéo Takahashi
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2017, 49 (6), pp.4625-4657. 〈10.1137/16M1099947〉
https://hal.archives-ouvertes.fr/hal-01386574/file/jsm-ls-tt_2016-10-10.pdf BibTex
Small moving rigid body into a viscous incompressible fluid
Christophe Lacave, Takéo Takahashi
Archive for Rational Mechanics and Analysis, Springer Verlag, 2017, 223 (3), pp.1307–1335. 〈10.1007/s00205-016-1058-z〉
https://hal.archives-ouvertes.fr/hal-01169436/file/fluidsmallrigid.pdf BibTex
Boundary local null-controllability of the Kuramoto-Sivashinsky equation
Takéo Takahashi
Mathematics of Control, Signals, and Systems, Springer Verlag, 2017, 29 (2), 〈10.1007/s00498-016-0182-5〉
https://hal.archives-ouvertes.fr/hal-01373201/file/Takahashi.pdf BibTex
A boundary control problem for the steady self-propelled motion of a rigid body in a Navier-Stokes fluid
Toshiaki Hishida, Ana Leonor Silvestre, Takéo Takahashi
Annales de l’Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2017, 34 (6), pp.1507-1541. 〈10.1016/j.anihpc.2016.11.003〉
https://hal.archives-ouvertes.fr/hal-01205210/file/thalstt2015-22sep.pdf BibTex
On the Navier–Stokes system with the Coulomb friction law boundary condition
Loredana Bălilescu, Jorge San Martín, Takéo Takahashi
Zeitschrift für Angewandte Mathematik und Physik, Springer Verlag, 2017, 68 (3), 〈10.1007/s00033-016-0744-x〉
https://hal.archives-ouvertes.fr/hal-01393709/file/BalilescuSanMartinTakahashi-modified.pdf BibTex
Feedback boundary stabilization of 2d fluid-structure interaction systems
Mehdi Badra, Takéo Takahashi
Discrete and Continuous Dynamical Systems – Series A, American Institute of Mathematical Sciences, 2017, 37 (5), pp.2315-2373. 〈10.3934/dcds.2017102〉
https://hal.archives-ouvertes.fr/hal-01370000/file/BADRA-TAKAHASHI.pdf BibTex

Preprints, Working Papers, …

Local null controllability of a rigid body moving into a boussinesq flow
Arnab Roy, Takéo Takahashi
2017
https://hal.archives-ouvertes.fr/hal-01572508/file/boussi-rigidbody-20170801.pdf BibTex
Controllability of low Reynolds numbers swimmers of ciliate type
Jérôme Lohéac, Takéo Takahashi
2017
https://hal.archives-ouvertes.fr/hal-01569856/file/TangSwim.pdf BibTex
The vortex method for 2D ideal flows in exterior domains
Diogo Arsénio, Emmanuel Dormy, Christophe Lacave
IF_PREPUB. 2017
https://arxiv.org/pdf/1707.01458 BibTex
Existence of local strong solutions to fluid-beam and fluid-rod interaction systems
Céline Grandmont, Matthieu Hillairet, Julien Lequeurre
2017
https://hal.inria.fr/hal-01567661/file/NS-ondes_submitted.pdf BibTex
External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid
Olivier Glass, József Kolumbán, Franck Sueur
2017
https://hal.archives-ouvertes.fr/hal-01562320/file/GKS.pdf BibTex
Internal observability for coupled systems of linear partial differential equations
Pierre Lissy, Enrique Zuazua
2017
https://hal.archives-ouvertes.fr/hal-01480301/file/ObsCoupled.pdf BibTex
Motion of a particle immersed in a two dimensional incompressible perfect fluid and point vortex dynamics
Franck Sueur
2017
https://hal.archives-ouvertes.fr/hal-01476727/file/Prague.pdf BibTex

2016

Journal articles

Singular Optimal Control of a 1-D Parabolic-Hyperbolic Degenerate Equation
Mamadou Gueye, Pierre Lissy
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2016, Special Issue in honor of Jean-Michel Coron for his 60th birthday, 22 (4), pp.1184 – 1203. 〈10.1051/cocv/2016036 〉
https://hal.archives-ouvertes.fr/hal-01240264/file/DegUni.pdf BibTex
Lagrangian controllability at low Reynolds number
Olivier Glass, Thierry Horsin
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2016, Special Issue in honor of Jean-Michel Coron for his 60th birthday, 22 (4), pp.1040 – 1053. 〈http://www.esaim-cocv.org〉〈10.1051/cocv/2016032〉
https://arxiv.org/pdf/1602.03045 BibTex
Local exact controllability for the 2 and 3-d compressible Navier-Stokes equations
Sylvain Ervedoza, Olivier Glass, Sergio Guerrero
Communications in Partial Differential Equations, Taylor & Francis, 2016, 41 (11), pp.1660-1691
https://hal.archives-ouvertes.fr/hal-01245889/file/EGG-HaL.pdf BibTex

Conference papers

On the controllability of the Navier-Stokes equation in spite of boundary layers
Jean-Michel Coron, Frédéric Marbach, Franck Sueur
Mathematical Analysis of Viscous Incompressible Fluid, Nov 2016, Kyoto, Japan. 2058, pp.162-180, RIMS Kôkyûroku
https://hal.archives-ouvertes.fr/hal-01492722/file/navier_control_coron_marbach_sueur.pdf BibTex

Preprints, Working Papers, …

Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation using finite-difference method
Pierre Lissy, Ionel Roventa
2016
https://hal.archives-ouvertes.fr/hal-01338619/file/NumWave.pdf BibTex

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