Research
Manuscrits
- Manuscrit de Thèse ( pdf)
-
Manuscrit d'Habilitation à Diriger les Recherches (
pdf)
Articles
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Initial Boundary Value Problem and Asymptotic Stabilization for the
Camassa-Holm equation on an interval, Journal of Functional Analysis.
( link )
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Exact Controllability of Scalar Conservation Laws with an Additional
Control in the Context of Entropy Solutions, SIAM Journal on Control and
Optimization. ( link )
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Asymptotic Stabilization of Entropy Solutions to Scalar Conservation
Laws through a Stationnary Feedback Law, Annales de l'Institut Henri
Poincaré (C). (
link , simulations )
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with Lionel Rosier : Finite time stabilization of 2x2 hyperbolic systems
on tree shaped networks. SIAM Journal on Control and Optimization. (
link )
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with Fatiha Alabau-Boussouira and Lionel Rosier : Finite time
stabilization of a network of strings. Mathematical Control and Related
Fields. (link)
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with Jean-Michel Coron, Sylvain Ervedoza, Shyam Ghoshal and Olivier
Glass : Dissipative boundary conditions for 2x2 hyperbolic systems of
conservation laws for entropy solutions in BV. Journal of Differential
Equations. ( link )
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with Beniamin Bogosel, Kilian Raschel and Amélie Trotignon : 3d positive
lattice walks and spherical triangles. Journal of Combinatorial Theory
Series A.(
link )
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with Martin Gugat and Lionel Rosier : Boundary stabilization of
quasilinear hyperbolic systems of balance laws: Exponential decay for
small source terms. Journal of Evolution Equations. (
link
)
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With Carlotta Donadello : Exact controllability to trajectories for
entropy solutions to scalar conservation laws in several space
dimensions, Compte Rendus Mathématiques de l'académie des sciences. (
link )
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With Rinaldo Colombo : Initial data identification in conservation laws
and Hamilton-Jacobi equations, Journal de Mathématiques Pures et
Appliquées. (
link )
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With Rinaldo Colombo and Abraham Sylla: Conservation laws and
Hamilton–Jacobi equations with space inhomogeneity, Journal of Evolution
Equations. (
link )
Proceedings
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with Lionel Rosier : Finite time stabilization of hyperbolic systems
over a bounded interval, IFAC Control of systems governed by partial
differential equations (2013). (
link )
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With Rinaldo Colombo and Abraham Sylla: Peculiarities of Space Dependent
Conservation Laws: Inverse Design and Asymptotics, to appear on the
proceedings of the XVIII International Conference on Hyperbolic
Problems: Theory, Numerics, Applications, 2023 . (
link )
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With Rinaldo Colombo and Abraham Sylla: L∞ Stationary Solutions to Non
Homogeneous Conservation Laws To appear on the proceedings of the XVIII
International Conference on Hyperbolic Problems: Theory, Numerics,
Applications, 2023. (
link )
Preprint
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Asymptotic stabilization of stationnary shock waves using a boundary
feedback law, preprint. (
link)
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With Rinaldo Colombo and Abraham Sylla: Initial Data Identication in
Space Dependent Conservation Laws and Hamilton-Jacobi Equations,
Preprint. (
link )
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With Thibault Liard and Swann Marx: Stabilization of conservation laws
for G-solutions with application to traffic flow, Work in Progress. (
link )
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With Rinaldo Colombo: Localized Inverse Design in Conservation Laws and
Hamilton-Jacobi Equations , Preprint. (
link )
Various Notes
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Notes sur la méthode HUM (.pdf)