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This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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This Book Is In French. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This Book Is In French. ... Read more

Product Description
This Book Is In French. ... Read more

Product Description
This Book Is In French. ... Read more

Product Description
This Book Is In French. ... Read more

Product Description
This Book Is In French. ... Read more

Product Description
This Book Is In French. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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Stability is a very important property of mathematical models simulating physical processes which provides an adequate description of the process. Starting from the classical notion of the well-posedness in the Hadamard sense, this notion was adapted to different areas of research and at present is understood, depending on the physical problem under consideration, as the Lyapunov stability of stationary solutions, stability of specified initial data, stability of averaged models, etc.

The stability property is of great interest for researchers in many fields such as mathematical analysis, theory of partial differential equations, optimal control, numerical analysis, fluid mechanics, etc. etc. The variety of recent results, surveys, methods and approaches to different models presented by leading world-known mathematicians, makes both volumes devoted to the stability and instability of mathematical models in fluid mechanics very attractive for provisional buyers/readers working in the above mentioned and related areas.

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The notions of stability and instability play a very important role in mathematical physics and, in particular, in mathematical models of fluids flows. Currently, one of the most important problems in this area is to describe different kinds of instability, to understand their nature, and also to work out methods for recognizing whether a mathematical model is stable or instable. 
In the current volume, Claude Bardos and Andrei Fursikov, have drawn together an impressive array of international contributors to present important recent results and perspectives in this area. The main topics covered are devoted to mathematical aspects of the theory but some novel schemes used in applied mathematics are also presented.

Various topics from control theory, free boundary problems, Navier-Stokes equations, first order linear and nonlinear equations, 3D incompressible Euler equations, large time behavior of solutions, etc. are concentrated around the main goal of these volumes the stability (instability) of mathematical models, the very important property playing the key role in the investigation of fluid flows from the mathematical, physical, and computational points of view. World - known specialists present their new results, advantages in this area, different methods and approaches to the study of the stability of models simulating different processes in fluid mechanics.

Product Description

The advantages of the study of the stability and instability of models in fluid mechanics are presented by world-recognized specialists in mathematical analysis, PDEs, optimal control, etc.

The two volumes are available separately, or together at a reduced price for the two-volume set. See the entries for the individual volumes for details of the coverage of each volume.

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This is a unique collection of papers, all written by leading specialists, that presents the most recent results and advances in stability theory as it relates to fluid flows. The stability property is of great interest for researchers in many fields, including mathematical analysis, theory of partial differential equations, optimal control, numerical analysis, and fluid mechanics. This text will be essential reading for many researchers working in these fields.

Product Description

In this authoritative and comprehensive volume, Claude Bardos and Andrei Fursikov have drawn together an impressive array of international contributors to present important recent results and perspectives in this area. The main subjects that appear here relate largely to mathematical aspects of the theory but some novel schemes used in applied mathematics are also presented. Various topics from control theory, including Navier-Stokes equations, are covered.