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Frontiers in Computational Fluid-Structure Interaction and Flow Simulation - Research from Lead Investigators Under Forty - 2023 - Tayfun E Tezduyar

Computational fluid-structure interaction (FSI) and flow simulation are challenging research areas that bring solution and analysis to many classes of problems in science, engineering, and technology. Young investigators under the age of 40 are conducting much of the frontier research in these areas, some of which is highlighted in this volume. The first author of each chapter took the lead role in carrying out the research presented. Some of the topics explored includeDirect flow simulation of objects..

Hypersonics II, Vol.2 - S/O Und Fortsetzung Nur Fa1/4rs Set - J Bertin

Turbulence Modeling for Hypersonic Flows.- Advanced Topics in Turbulence Theory.- Different Levels of Air Dissociation Chemistry and Its Coupling with Flow Models.- Modeling of Hypersonic Reacting Flows.- Modeling of Hypersonic Non Equilibrium Flows.- Wall Catalytic Recombination and Boundary Conditions in Nonequilibrium Hypersonic Flows-With Applications.- Physical Aspects of Hypersonic Flow: Fluid Dynamics and Non-Equilibrium Phenomena.- Permissions.

Hypersonics II - J Bertin

Turbulence Modeling for Hypersonic Flows.- Advanced Topics in Turbulence Theory.- Different Levels of Air Dissociation Chemistry and Its Coupling with Flow Models.- Modeling of Hypersonic Reacting Flows.- Modeling of Hypersonic Non Equilibrium Flows.- Wall Catalytic Recombination and Boundary Conditions in Nonequilibrium Hypersonic Flows-With Applications.- Physical Aspects of Hypersonic Flow: Fluid Dynamics and Non-Equilibrium Phenomena.- Permissions.

These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure interactions, and shape optimization.We first give an introduction to classical methods from differential geometry and systematically derive the governing equations from physical principles. Then we will..

Optimization, Optimal Control and Partial Differential Equations - First Franco-Romanian Conference, Iasi, September 7-11, 1992 - V Barbu

Variational methods in mechanics and physical models.- Fluid flows in dielectric porous media.- The impact of a jet with two fluids on a porous wall.- Critical point methods in nonlinear eigenvalue problems with discontinuities.- Maximum principles for elliptic systems.- Exponential dichotomy of evolution operators in Banach spaces.- Asymptotic properties of solutions to evolution equations.- On some nonlinear elastic waves biperiodical or almost periodical in mechanics and extensions hyperbolic..

Longwave Instabilities and Patterns in Fluids - Alexander Nepomnyashchy

This book summarizes the main advances in the field of nonlinear evolution and pattern formation caused by longwave instabilities in fluids. It will allow readers to master the multiscale asymptotic methods and become familiar with applications of these methods in a variety of physical problems. Longwave instabilities are inherent to a variety of systems in fluid dynamics, geophysics, electrodynamics, biophysics, and many others. The techniques of the derivation of longwave amplitude equations, as..

A Topological Introduction to Nonlinear Analysis - Robert F Brown

\The book is highly recommended as a text for an introductory course in nonlinear analysis and bifurcation theory... reading is fluid and very pleasant... style is informal but far from being imprecise.\ -review of the first edition. New to this edition: additional applications of the theory and techniques, as well as several new proofs. This book is ideal for self-study for mathematicians and students interested in geometric and algebraic topology, functional analysis, differential equations,..

This volume explores state-of-the-art developments in theoretical and applied fluid mechanics with a focus on stabilization and control. Chapters are based on lectures given at the summer school \Fluids under Control\, held in Prague from August 23-27, 2021. With its accessible and flexible presentation, readers will be motivated to deepen their understanding of how mathematics and physics are connected. Specific topics covered include: Stabilization of the 3D Navier-Stokes systemFlutter stabilization..

Free Boundary Problems in Continuum Mechanics - S N Antontsev

Some extremum and unilateral boundary value problems in viscous hydrodynamics.- On axisymmetric motion of the fluid with a free surface.- On the occurrence of singularities in axisymmetrical problems of hele-shaw type.- New asymptotic method for solving of mixed boundary value problems.- Some results on the thermistor problem.- New applications of energy methods to parabolic and elliptic free boundary problems.- A localized finite element method for nonlinear water wave problems.- Approximate method..

The Steady Navier-Stokes System - Basics of the Theory and the Leray Problem - Mikhail Korobkov

This book provides a successful solution to one of the central problems of mathematical fluid mechanics: the Leray's problem on existence of a solution to the boundary value problem for the stationary Navier--Stokes system in bounded domains under sole condition of zero total flux. This marks the culmination of the authors' work over the past few years on this under-explored topic within the study of the Navier--Stokes equations. This book will be the first major work on the Navier--Stokes equations..