5 citations · 8 across the 8 of their papers we have counts for
9 papers
A variational approach to geometric mechanics for undulating robotic locomotion
Sean Even, Patrick S. Martinez, Cora Keogh +3
Limbless organisms of all sizes use undulating patterns of self-deformation to locomote. Geometric mechanics, which maps deformations to motions, provides a powerful framework to f…
asymptotic stability of 1D damped wave equation with nonlinear distributed damping
Yacine Chitour, Meryem Kafnemer, Patrick Martinez +1
In this paper, we study the one-dimensional wave equation with localized nonlinear damping and Dirichlet boundary conditions, in the framework, with . We sta…
Analysis of a two-layer energy balance model: long time behaviour and greenhouse effect
Piermarco Cannarsa, Valerio Lucarini, Patrick Martinez +2
We study a two-layer energy balance model, that allows for vertical exchanges between a surface layer and the atmosphere. The evolution equations of the surface temperature and the…
Predicting lexical skills from oral reading with acoustic measures
Charvi Vitthal, Shreeharsha B S, Kamini Sabu +1
Literacy assessment is an important activity for education administrators across the globe. Typically achieved in a school setting by testing a child's oral reading, it is intensiv…
Null controllability of parabolic equations with interior degeneracy and one-sided control
Piermarco Cannarsa, Roberto Ferretti, Patrick Martinez
For we study the null controllability of the parabolic operator which degenerates at the interior point , for…
Parameter determination for Energy Balance Models with Memory
Piermarco Cannarsa, Martina Malfitana, Patrick Martinez
In this paper, we study two Energy Balance Models with Memory arising in climatology, which consist in a 1D degenerate nonlinear parabolic equation involving a memory term, and pos…