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Advances in Mathematical Fluid Mechanics

Advances in Mathematical Fluid Mechanics
15 Volumes | 2000 - 2020


Edited by

Giovanni P. Galdi, University of Pittsburgh, Pittsburgh, USA

John G. Heywood, University of British Columbia, Vancouver, Canada

Rolf Rannacher, Heidelberg University, Heidelberg, Germany

Advances in Mathematical Fluid Mechanics is a forum for the publication of high quality monographs, or collections of works, on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. Its mathematical aims and scope are similar to those of the Journal of Mathematial Fluid Mechanics. In particular, mathematical aspects of computational methods and of applications to science and engineering are welcome as an important part of the theory. So also are works in related areas of mathematics that have a direct bearing on fluid mechanics.

All subseries of the series Advances in Mathematical Fluid Mechanics

08-12-2016 | Book Series

Lecture Notes in Mathematical Fluid Mechanics

Lecture Notes in Mathematical Fluid Mechanics

All books of the series Advances in Mathematical Fluid Mechanics

2020 | Book

Fluids Under Pressure

This contributed volume is based on talks given at the August 2016 summer school “Fluids Under Pressure,” held in Prague as part of the “Prague-Sum” series. Written by experts in their respective fields, chapters explore the complex role that …

2017 | Book

Transport Processes at Fluidic Interfaces

There are several physico-chemical processes that determine the behavior of multiphase fluid systems – e.g., the fluid dynamics in the different phases and the dynamics of the interface(s), mass transport between the fluids, adsorption effects at …

2017 | Book

Particles in Flows

This book aims to face particles in flows from many different, but essentially interconnected sides and points of view. Thus the selection of authors and topics represented in the chapters, ranges from deep mathematical analysis of the associated …

2017 | Book

Singular Limits in Thermodynamics of Viscous Fluids

This book is about singular limits of systems of partial differential equations governing the motion of thermally conducting compressible viscous fluids.

"The main aim is to provide mathematically rigorous arguments how to get from the compressible …

2017 | Book

Longwave Instabilities and Patterns in Fluids

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 …

2016 | Book

Recent Developments of Mathematical Fluid Mechanics

The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as:
1) existence …

2014 | Book

Fluid-Structure Interaction and Biomedical Applications

This book presents, in a methodical way, updated and comprehensive descriptions and analyses of some of the most relevant problems in the context of fluid-structure interaction (FSI). Generally speaking, FSI is among the most popular and intriguing p

2014 | Book

Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow

The theory of incompressible multipolar viscous fluids is a non-Newtonian model of fluid flow, which incorporates nonlinear viscosity, as well as higher order velocity gradients, and is based on scientific first principles. The Navier-Stokes model

2014 | Book

Classical and Stochastic Laplacian Growth

This monograph covers a multitude of concepts, results, and research topics originating from a classical moving-boundary problem in two dimensions (idealized Hele-Shaw flows, or classical Laplacian growth), which has strong connections to many exc

2009 | Book

Singular Limits in Thermodynamics of Viscous Fluids

Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit

2007 | Book

Analysis and Simulation of Fluid Dynamics

2006 | Book

Conformal and Potential Analysis in Hele-Shaw Cell

2004 | Book

Contributions to Current Challenges in Mathematical Fluid Mechanics

This volume consists of five research articles, each dedicated to a significant topic in the mathematical theory of the Navier-Stokes equations, for compressible and incompressible fluids, and to related questions. All results given here are new …

2001 | Book

Mathematical Fluid Mechanics

Recent Results and Open Questions

Mathematical modeling and numerical simulation in fluid mechanics are topics of great importance both in theory and technical applications. The present book attempts to describe the current status in various areas of research. The 10 chapters …

2000 | Book

Fundamental Directions in Mathematical Fluid Mechanics

This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putting together, in a unified setting, the results of recent …