most citedBoundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space

44 citations

6 papers

math.AP2020★ 1 cited

Quantum limits of sub-Laplacians via joint spectral calculus

Cyril Letrouit

We establish two results concerning the Quantum Limits (QLs) of some sub-Laplacians. First, under a commutativity assumption on the vector fields involved in the definition of the…

math.DG2020★ 3 cited

Cartan connections for stochastic developments on sub-Riemannian manifolds

Ivan Beschastnyi, Karen Habermann, Alexandr Medvedev

Analogous to the characterisation of Brownian motion on a Riemannian manifold as the development of Brownian motion on a Euclidean space, we construct sub-Riemannian diffusions on…

math.OC2020★ 1 cited

Pace and motor control optimization for a runner

Amandine Aftalion, Emmanuel Trélat

Our aim is to present a new model which encompasses pace optimization and motor control effort for a runner on a fixed distance. We see that for long races, the long term behaviour…

math.OC2020★ 44 cited

Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space

Jean-Michel Coron, Long Hu, Guillaume Olive +1

In this article we are interested in the boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space. We e…

math.AP2020★ 7 cited

Subelliptic wave equations are never observable

Cyril Letrouit

It is well-known that observability (and, by duality, controllability) of the elliptic wave equation, i.e., with a Riemannian Laplacian, in time is almost equivalent to the G…

cs.CV2019★ 15 cited

Cortical-inspired Wilson-Cowan-type equations for orientation-dependent contrast perception modelling

Marcelo Bertalmío, Luca Calatroni, Valentina Franceschi +2

We consider the evolution model proposed in [9, 6] to describe illusory contrast perception phenomena induced by surrounding orientations. Firstly, we highlight its analogies and d…