Concept
Action-angle coordinates
Publications associées (18)
Stability of a Point Charge for the Vlasov–Poisson System: The Radial Case
We consider the Vlasov–Poisson system with repulsive interactions. For initial data a small, radial, absolutely continuous perturbation of a point charge, we show that the solution is global and disperses to infinity via a modified scattering along traject ...
2021Mechanical and hydraulic transport properties of transverse-isotropic Gneiss deformed under deep reservoir stress and pressure conditions
Marie Estelle Solange Violay, Mateo Alejandro Acosta
In central Europe, many geo-energy reservoirs have revealed to be hosted in transverse isotropic crystalline rock, where the rock's mechanical and hydraulic transport properties are poorly constrained. Here, we performed triaxial experiments on Cresciano G ...
PERGAMON-ELSEVIER SCIENCE LTD2020Geometric Model Order Reduction
During the past decade, model order reduction (MOR) has been successfully applied to reduce the computational complexity of elliptic and parabolic systems of partial differential equations (PDEs). However, MOR of hyperbolic equations remains a challenge. S ...
EPFL2018Learning Augmented Joint-Space Task-Oriented Dynamical Systems:A Linear Parameter Varying and Synergetic Control Approach
Aude Billard, Nadia Barbara Figueroa Fernandez, Seyed Sina Mirrazavi Salehian, Yonadav Goldwasser Shavit
In this paper, we propose an asymptotically stable joint-space dynamical system that captures desired behaviors in joint-space while stably converging towards a task-space attractor. To encode joint-space behaviors while meeting the stability criteria, the ...
2018Revisiting the quest for a universal log-law and the role of pressure gradient in "canonical" wall-bounded turbulent flows
The trinity of so-called "canonical" wall-bounded turbulent flows, comprising the zero pressure gradient turbulent boundary layer, abbreviated ZPG TBL, turbulent pipe flow, and channel/duct flows has continued to receive intense attention as new and more r ...
Amer Physical Soc2017Asymptotics of action variables near semi-toric singularities
The presence of focus-focus singularities in semi-toric integrables Hamiltonian systems is one of the reasons why there cannot exist global Action-Angle coordinates on such systems. At focus-focus critical points, the Liouville-Arnold-Mineur theorem does n ...
Elsevier2015Generalized eigenvalue problems with specified eigenvalues
We consider the distance from a (square or rectangular) matrix pencil to the nearest matrix pencil in 2-norm that has a set of specified eigenvalues. We derive a singular value optimization characterization for this problem and illustrate its usefulness fo ...
Oxford University Press2014New Techniques For Obtaining Schubert-Type Formulas For Hamiltonian Manifolds
In [GT], Goldin and Tolman extend some ideas from Schubert calculus to the more general setting of Hamiltonian torus actions on compact symplectic manifolds with isolated fixed points. (See also [Kn99,Kn08].) The main goal of this paper is to build on this ...
Int Press Boston, Inc2013