1 citations · 1 across the 4 of their papers we have counts for
4 papers
Concentration of measure-valued solutions for semilinear parabolic equations
Charlie Lebarbé, Émilien Flayac, Michel Fournié +2
The moment-sum-of-squares hierarchy provides a powerful framework for solving non-convex optimal control problems by constructing a sequence of convex semidefinite relaxations. How…
Semidefinite relaxations for nonlinear elasticity with energies convex in the Cauchy-Green strain tensor
Didier Henrion, Milan Korda, Martin Kružík +2
In nonlinear elasticity, finding the deformation of a material which minimizes a given stored energy density is a challenging calculus of variations problem which may fail to have…
Optimizing quasi-dissipative evolution equations with the moment-SOS hierarchy
Saroj Prasad Chhatoi, Didier Henrion, Swann Marx +1
We prove that there is no relaxation gap between a quasi-dissipative nonlinear evolution equation in a Hilbert space and its linear Liouville equation reformulation on probability…
Evolution of Measures in Nonsmooth Dynamical Systems: Formalisms and Computation
Saroj Prasad Chhatoi, Aneel Tanwani, Didier Henrion
This article develops mathematical formalisms and provides numerical methods for studying the evolution of measures in nonsmooth dynamical systems using the continuity equation. Th…