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Nonlinear Partial Differential Equations and Their Applications
This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the Collège de France in Paris, directed by Jacques-Louis Lions. It is the 14th and last of the series, due to the recent and untimely death of Professor Lions. The texts in this volume deal mostly with various aspects of the theory of nonlinear partial differential equations. They present both theoretical and applied results in many fields of growing importance such as Calculus of variations and optimal control, optimization, system theory and control, operations research, fluids and continuum mechanics, nonlinear dynamics, meteorology and climate, homogenization and material science, numerical analysis and scientific computations The book is of interest to everyone from postgraduate, who wishes to follow the most recent progress in these fields.
A Heritage Of Holy Wood
This fascinating study reconstructs the tradition of the Legend of the True Cross in text and image, from its tentative beginnings in 4th-century Jerusalem to the culminating expression of its multi-layered cosmic content in 14th and 15th-century monumental cycles in Germany and Italy.
IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics
Proceedings of the IUTAM Symposium held in Liverpool, UK, 8-11 July 2002
IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions
An exciting new direction in hydrodynamic stability theory and the transition to turbulence is concerned with the role of disconnected states or finite amplitude solutions in the evolution of disorder in fluid flows. This volume contains refereed papers presented at the IUTAM/LMS sponsored symposium on "Non-Uniqueness of Solutions to the Navier-Stokes equations and their Connection with Laminar-Turbulent Transition" held in Bristol 2004. Theoreticians and experimentalists gathered to discuss developments in understanding both the onset and collapse of disordered motion in shear flows such as those found in pipes and channels. The central objective of the symposium was to discuss the increasing amount of experimental and numerical evidence for finite amplitude solutions to the Navier-Stokes equations and to set the work into a modern theoretical context. The participants included many of the leading authorities in the subject and this volume captures much of the flavour of the resulting stimulating and lively discussions.
Asymptotic Modelling of Fluid Flow Phenomena
for the fluctuations around the means but rather fluctuations, and appearing in the following incompressible system of equations: on any wall; at initial time, and are assumed known. This contribution arose from discussion with J. P. Guiraud on attempts to push forward our last co-signed paper (1986) and the main idea is to put a stochastic structure on fluctuations and to identify the large eddies with a part of the probability space. The Reynolds stresses are derived from a kind of Monte-Carlo process on equations for fluctuations. Those are themselves modelled against a technique, using the Guiraud and Zeytounian (1986). The scheme consists in a set of like equations, considered as random...
Direct and Large-Eddy Simulation IV
This volume contains the proceedings of the 2001 DLES4 workshop. It describes and discusses state-of-the-art modeling and simulation approaches for complex flows. Fundamental turbulence and modeling issues but also elements from modern numerical analysis are at the heart of this field of interest.
IUTAM Symposium on Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics
The goals ofthe Symposium were to highlight advances in modelling ofatmosphere and ocean dynamics, to provide a forum where atmosphere and ocean scientists could present their latest research results and learn ofprogress and promising ideas in these allied disciplines; to facilitate interaction between theory and applications in atmosphere/ocean dynamics. These goals were seen to be especially important in view ofcurrent efforts to model climate requiring models which include interaction between atmosphere, ocean and land influences. Participants were delighted with the diversity ofthe scientific programme; the opportunity to meet fellow scientists from the other discipline (either atmospher...
Turbulent Flow Computation
In various branches of fluid mechanics, our understanding is inhibited by the presence of turbulence. Although many experimental and theoretical studies have significantly helped to increase our physical understanding, a comp- hensive and predictive theory of turbulent flows has not yet been established. Therefore, the prediction of turbulent flow relies heavily on simulation stra- gies. The development of reliable methods for turbulent flow computation will have a significant impact on a variety of technological advancements. These range from aircraft and car design, to turbomachinery, combustors, and process engineering. Moreover, simulation approaches are important in materials - sign, pr...
Deep Eutectic Solvents
Deep Eutectic Solvents highlights well-established research and technology on applications of DESs in corrosion sciences, protein chemistry, and organic synthesis, as well as separation science. This book provides state-of-the-art research that will revolutionize modern practices. Neoteric solvents have been proposed as a better substitute to these harmful organic solvents, and scientists have come up with various neoteric solvents in the last few years like Deep Eutectic solvents (DESs). DESs are defined as a system formed from a eutectic mixture of Lewis or Brønsted acids and bases with various ionic species- whereas ionic liquids (ILs) consist of a discrete anion and a cation. DESs stand...
