Publisher's Synopsis
This volume is a collection of original research papers at an international level in applied mathematics focused on partial differential equations.;It contains papers in many areas of this field of research: existence of solutions, regularity and stability of non-linear partial differential equations, explosion in finite time, formation of singularities, optimal control and optimization, shape control, sentinels, control theory, interpolation, complexity, mechanics of solids, mechanics of fluids, elasticity, vibration and acoustic problems, homogenization, Euler's equation, Navier-Stokes equations, problems in meteorology, climatology, oceanography, data assimilation, numerical analysis, finite elements, bounds on errors, etc.;These papers, dedicated to Jacques-Louis Lions, Professor at Le College de France, are written by his students and close collaborators.