Research
Manuscrits
- Manuscrit de Thèse ( pdf)
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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 )
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With Rinaldo Colombo and Abraham Sylla :
Initial Data Identication in Space Dependent Conservation Laws and Hamilton-Jacobi Equations,
Communications in Partial Differential Equations. (
link )
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With Rinaldo Colombo :
Localized Inverse Design in Conservation Laws and Hamilton-Jacobi Equations,
Zeitshrift für Angewandte Mathematik und Physik. (
link )
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With Rinaldo M. Colombo :
Entropy Production in General Balance Laws,
Journal of Differential 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,
Hyperbolic Problems: Theory, Numerics, Applications. Volume I. HYP 2022. SEMA SIMAI Springer Series, vol. 34., Springer.(
link )
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With Rinaldo Colombo and Abraham Sylla :
L∞ Stationary Solutions to Non Homogeneous Conservation Laws,
Hyperbolic Problems: Theory, Numerics, Applications. Volume I. HYP 2022. SEMA SIMAI Springer Series, vol. 34,
Springer. (
link )
Preprints
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Asymptotic stabilization of stationnary shock waves using a boundary
feedback law, 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 )
Various Notes
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Notes sur la méthode HUM (.pdf)