Contributions to Partial Differential Equations and Applications (eBook)

Preface.- Career papers.- The career of  Prof. W. Fitzgibbon, by Jeff Morgan, Jacques Periaux.- The career of Prof. Yuri Kuznetsov, by Boris Chetverushkin, William Fitzgibbon, Jacques Periaux, and Olivier Pironneau.- The career of Prof. Olivier Pironneau, by William Fitzgibbon and Jacques Periaux.- Scientific  contributions.- Mean field games for modeling crowd motion, by Yves Achdou and Jean-Michel Lasry.- Remarks about spatially structured SI model systems with cross diffusion, by Vanaya Anaya, Mostafa Bendahmane, Michel Langlais, and Mauricio Sepúlveda.- Automatic clustering in large sets of time series, by Robert Azencott, Viktoria Muravina, Rasoul Hekmati, Wei Zhang, and Michael Paldino.- Zero viscosity boundary effect limit and turbulence, by Claude Bardos.- Parabolic equations with quadratic growth in Rn, by Alain Bensoussan, Jens Frehse, Shige Peng, and Sheung Chi Phillip Yam.- On the sensitivity to the filtering radius in Leray models of incompressible flow, by Luca Bertagna, Annalisa Quaini, Leo G. Rebholz, and Alessandro Veneziani.- Model order reduction for problems with large convection effects, by Nicolas Cagniart, Yvon Maday, and Benjamin Stamm.- Parametric optimization of pulsating jets in unsteady flow by Multiple-Gradient Descent Algorithm (MGDA), by Jean-Antoine Désidéri and Regis Duvigneau.- Mixed formulation of a linearized lubrication fracture model in a poro-elastic medium, by Vivette Girault, Mary Wheeler, Kundan Kumar, and Gurpreet Singh.- Two decades of wave-like equation for the numerical simulation of incompressible viscous flow: A review, by Roland Glowinski and Tsorng–Whay Pan.- An arbitrary Lagrangian-Eulerian Finite Element method preserving convex invariants of hyperbolic systems, by Jean-Luc Guermond, Bojan Popov, Laura Saavedra, and Yong Yang.- Dual-primal isogeometric tearing and interconnecting methods, by Christoph Hofer and Ulrich Langer.- C0 Interior Penalty Discontinuous Galerkin approximation of a sixth order Cahn-Hilliard equation modeling microemulsification processes, by Ronald Hoppe and Christopher Linsenmann.- On existence “in the large” of a solution to modified Navier–Stokes equations, by George Kobelkov.- An algebraic solver for the Oseen problem with application to hemodynamics, by Igor Konshin, Maxim Olshanskii, and Yuri Vassilevski.- Martin’s problem for volume-surface reaction-diffusion systems, by Jeff Morgan and Vandana Sharma.- A posteriori error estimates for the electric field integral equation on polyhedral, by Ricardo Nochetto and Benjamin Stamm.- On some weighted Stokes problems: applications on Smagorinsky models, by Jacques Rappaz and Jonathan Rochat.- Poincaré type inequalities for vector functions with zero mean normal traces on the boundary and applications to interpolation methods, by Sergey Repin.- The ensemble interpretation of quantum mechanics and the two-slit experiment, by Glenn Webb.