Chetverushkin B.N., Fitzgibbon W., Kuznetsov Y.A., Neittaanmäki P., Periaux J., Pironneau O. (Eds.) Contributions to Partial Differential Equations and Applications

Springer, 2019. — 455 p. — (Computational Methods in Applied Sciences 47). — ISBN: 3319783246.This book treats Modelling of CFD problems, Numerical tools for PDE, and Scientific Computing and Systems of ODE for Epidemiology, topics that are closely related to the scientific activities and interests of Prof. William Fitzgibbon, Prof. Yuri Kuznetsov, and Prof. O. Pironneau, whose outstanding achievements are recognised in this volume.
It contains 20 contributions from leading scientists in applied mathematics dealing with partial differential equations and their applications to engineering, ab-initio chemistry and life sciences. It includes the mathematical and numerical contributions to PDE for applications presented at the ECCOMAS thematic conference "Contributions to PDE for Applications" held at Laboratoire Jacques Louis Lions in Paris, France, August 31- September 1, 2015, and at the Department of Mathematics, University of Houston, Texas, USA, February 26-27, 2016.
This event brought together specialists from universities and research institutions who are developing or applying numerical PDE or ODE methods with an emphasis on industrial and societal applications.
This volume is of interest to researchers and practitioners as well as advanced students or engineers in applied and computational mathematics. All contributions are written at an advanced scientific level with no effort made by the editors to make this volume self-contained.
It is assumed that the reader is a specialist already who knows the basis of this field of research and has the capability of understanding and appreciating the latest developments in this field.
Contents
Three Faces of Fitz: Science, Communication and Leadership
Career of Prof. Yuri Kuznetsov
Olivier Pironneau Career Paper
Mean Field Games for Modeling Crowd Motion
Remarks About Spatially Structured SI Model Systems with Cross Diffusion
Automatic Clustering in Large Sets of Time Series
Zero Viscosity Boundary Effect Limit and Turbulence
Parabolic Equations with Quadratic Growth in R_n
On the Sensitivity to the Filtering Radius in Leray Models of Incompressible Flow
Model Order Reduction for Problems with Large Convection Effects
Parametric Optimization of Pulsating Jets in Unsteady Flow by Multiple-Gradient Descent Algorithm (MGDA)
Mixed Formulation of a Linearized Lubrication Fracture Model in a Poro-elastic Medium
Two Decades of Wave-Like Equation for the Numerical Simulation of Incompressible Viscous Flow: A Review
Arbitrary Lagrangian-Eulerian Finite Element Method Preserving Convex Invariants of Hyperbolic Systems
Dual-Primal Isogeometric Tearing and Interconnecting Methods
C⁰-Interior Penalty Discontinuous Galerkin Approximation of a Sixth-Order Cahn-Hilliard Equation Modeling Microemulsification Processes
On Existence “In the Large” of a Solution to Modified Navier-Stokes Equations
An Algebraic Solver for the Oseen Problem with Application to Hemodynamics
Martin’s Problem for Volume-Surface Reaction-Diffusion Systems
A Posteriori Error Estimates for the Electric Field Integral Equation on Polyhedra
On Some Weighted Stokes Problems: Applications on Smagorinsky Models
Poincaré Type Inequalities for Vector Functions with Zero Mean Normal Traces on the Boundary and Applications to Interpolation Methods
Ensemble Interpretation of Quantum Mechanics and the Two-Slit Experiment