I am currently a post doctorate at the universidad de Sevilla, with Enrique D Fernandez Nieto and Gladys Narbona Reina. We currently develop a lava low model which implies an Hershel Bulkley rheology which depends on cristal an bubbles concentration in the lava an its temperature evolution. A finite volume HLL scheme is developped for this model.
From 2020 to 2024 I was a PHD student at INSA Toulouse, under the supervision of Pascal Noble and Pierre Degond. Modélisation, analyse et simulation de modèles en géomorphologie.
My PHD thesis is about the modelisation of landscape evolution under the effect of erosion by water, and the formation of patterns in the soil.
My research interest lies in applied mathematics and modeling. I am interested in problems arising from geophysics and fluid mechanics.
My research focuses on the mathematical modeling of phenomena with PDEs, the theoretical analysis of these models, and the implementation of numerical methods.
Eroded height of the soil in millimeters
J. Binard, P. Degond, P. Noble, Well-posedness and stability analysis of a landscape evolution model, Journal of Nonlinear Science. Manuscript on arXiv.
R. Bailo, J. Binard, P. Degond, P. Noble, A Particle method for stationary transport equations. Manuscript on arXiv.
jbinard[at]us.es