Dr. Martin Parisot | hydrogeology | Editorial Board Member
Inria Center at Bordeaux University | France
Dr. Martin Parisot is a dedicated junior researcher at INRIA whose work integrates advanced mathematical modeling with computational techniques to address complex challenges in geophysical and environmental fluid dynamics. His research bridges kinetic theory, hydrodynamic limits, hyperbolic systems, and dispersive phenomena to develop unified models capable of describing multi-scale water-related processes with exceptional precision. He contributes significantly to the formulation and analysis of shallow-water, congested-flow, and wave-propagation models, emphasizing entropy principles, asymptotic preservation, and structure-preserving numerical schemes. His expertise includes innovative coupling strategies, weakly dispersive approximations, and adaptive numerical methods that enhance the reliability of simulations for free-surface flows, groundwater interactions, and large-scale oceanic dynamics. Parisot’s scientific output has earned substantial recognition, reflected in 434 citations, an h-index of 11, and an i10-index of 13, highlighting the broad impact of his contributions. His publications cover diverse themes such as hydrodynamic model derivation, interface coupling techniques, dispersive approximations of Euler equations, kinetic equations for swarm behavior, and numerical schemes applicable to low-Froude regimes. He has collaborated widely on interdisciplinary projects involving coastal risk assessment, storm surge modeling, renewable marine energy, sediment transport, and unified modeling of geophysical flows, offering analytical depth and computational advances that support environmental forecasting and engineering innovation. In addition to his research activities, he has guided emerging scholars and contributed to editorial and scientific committee roles, as well as the organization of conferences in applied mathematics. Through sustained contributions to modeling and numerical analysis, Parisot continues to advance the understanding and prediction of complex geophysical systems, reinforcing his role in the progression of environmental and computational fluid dynamics research.
Featured Publications
Fernandez-Nieto, E. D., Parisot, M., Penel, Y., & Sainte-Marie, J. (2018). A hierarchy of dispersive layer-averaged approximations of Euler equations for free surface flows. Communications in Mathematical Sciences, 16(5), 1169–1202.
Godlewski, E., Parisot, M., Sainte-Marie, J., & Wahl, F. (2018). Congested shallow water model: Roof modeling in free surface flow. ESAIM: Mathematical Modelling and Numerical Analysis, 52(5), 1679–1707.
Parisot, M., & Vila, J.-P. (2016). Centered-potential regularization for the advection upstream splitting method. SIAM Journal on Numerical Analysis, 54(5), 3083–3104.
Parisot, M. (2019). Entropy-satisfying scheme for a hierarchy of dispersive reduced models of free surface flow. International Journal for Numerical Methods in Fluids, 91(10), 509–531.
Lachowicz, M., Leszczyński, H., & Parisot, M. (2017). Blow-up and global existence for a kinetic equation of swarm formation. Mathematical Models and Methods in Applied Sciences, 27(06), 1153–1175.