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- Université Toulouse III - Paul SabatierFR936 papers
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10 papers · 2 filters
Derivation of the bacterial run-and-tumble kinetic model : quantitative and strong convergence results
Alain Blaustein
During the past century, biologists and mathematicians investigated two mechanisms underlying bacteria motion: the run phase during which bacteria move in straight lines and the tu…
Covariance models and Gaussian process regression for the wave equation. Application to related inverse problems
Iain Henderson, Pascal Noble, Olivier Roustant
In this article, we consider the general task of performing Gaussian process regression (GPR) on pointwise observations of solutions of the 3 dimensional homogeneous free space wav…
Strong relaxation limit and uniform time asymptotics of the Jin-Xin model in the framework
Timothée Crin-Barat, Ling-Yun Shou, Jianzhong Zhang
We investigate the time-asymptotic stability of the Jin-Xin model and its diffusive relaxation limit toward viscous conservation laws in for . First, we est…
Trend to equilibrium and diffusion limit for the inertial Kuramoto-Sakaguchi equation
Francis Filbet, Myeongju Kang
In this paper, we study the inertial Kuramoto-Sakaguchi equation for interacting oscillatory systems. On the one hand, we prove the convergence toward corresponding phase-homogeneo…
Existence and stability of nonmonotone hydraulic shocks for the Saint Venant equations of inclined thin-film flow
Grégory Faye, L. Miguel Rodrigues, Zhao Yang +1
Extending work of Yang-Zumbrun for the hydrodynamically stable case of Froude number F < 2, we categorize completely the existence and convective stability of hydraulic shock profi…
KPP transition fronts in a one-dimensional two-patch habitat
François Hamel, Mingmin Zhang
This paper is concerned with the existence of transition fronts for a one-dimensional twopatch model with KPP reaction terms. Density and flux conditions are imposed at the interfa…