Titlebook: Contributions to Partial Differential Equations and Applications; B. N. Chetverushkin,W. Fitzgibbon,O. Pironneau Book 2019 Springer Intern

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Olivier Pironneau Career Paper,In what follows we provide a brief overview of the life and work of Professor Olivier Pironneau Fitzgibbon ( LJLL Sorbonne Université)

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Mean Field Games for Modeling Crowd Motion,cient numerical method is discussed. Numerical simulations are presented for two examples. The second example, in which all the agents share a common source of risk and have incomplete information, is of particular interest, because it cannot be dealt with without modeling rational anticipation.

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Remarks About Spatially Structured SI Model Systems with Cross Diffusion,l Equations. It exhibits simple dynamics: a bifurcation parameter . yielding persistence of the disease when ., else extinction occurs. A natural question is whether this gentle dynamic can be disturbed by spatial diffusion. It is straightforward to check it is not feasible for linear/nonlinear diff

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Automatic Clustering in Large Sets of Time Series,timized clustering of time series, by minimization of cost functions characterizing clustering quality. We apply these techniques to evaluation of connectivity between cortex regions, via analysis of cortex activity recordings by sequences of 3-dimensional fMRI images.

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Parabolic Equations with Quadratic Growth in ,n (Partial differential equations of parabolic type. Prentice-Hall, Englewood Cliffs, 1964) [.], Ladyzhenskaya et al. (Translations of Mathematical Monographs. AMS, 1968) [.] for details. However, for the applications to physics and mechanics, one deals mostly with boundary value problems. The bound

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,Mixed Formulation of a Linearized Lubrication Fracture Model in a Poro-elastic Medium,expressed in primary variables while the flows in the medium and fracture are written in mixed form, with an additional unknown for the pressure in the fracture. The fracture is treated as a non-planar surface or curve according to the dimension, and the lubrication equation for the flow in the frac