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Navier-Stokes equations theory and numerical analysis

This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly non-homogeneous media brings forth a large number of purely mathematical problems which are very important for applications. Although the methods suggested deal with stationary problems, some of them can be extended to non-stationary equations. With the exception of some well-known facts from functional analysis and the theory of partial differential equations, all results in this book are given detailed mathematical proof. It is expected that the results and methods presented in this book will promote further investigation of mathematical models for processes in composite and perforated media, heat-transfer, energy transfer by radiation, processes of diffusion and filtration in porous media, and that they will stimulate research in other problems of mathematical physics and the theory of partial differential equations.

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  • "This second edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behavior of solutions and attractors; and numerical analysis of the Navier-Stokes equations. Since publication of the first edition of these lectures in 1983, there has been extensive research in the area of inertial manifolds for Navier-Stokes equations. These developments are addressed in a new section devoted entirely to inertial manifolds. Inertial manifolds were first introduced under this name in 1985 and, since then, have been systematically studied for partial differential equations of the Navier-Stokes type. Inertial manifolds are a global version of central manifolds. When they exist they encompass the complete dynamics of a system, reducing the dynamics of an infinite system to that of a smooth, finite-dimensional one called the inertial system. Although the theory of inertial manifolds for Navier-Stokes equations is not complete at this time, there is already a very interesting and significant set of results which deserves to be known, in the hope that it will stimulate further research in this area. These results are reported in this edition."
  • "This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly non-homogeneous media brings forth a large number of purely mathematical problems which are very important for applications. Although the methods suggested deal with stationary problems, some of them can be extended to non-stationary equations. With the exception of some well-known facts from functional analysis and the theory of partial differential equations, all results in this book are given detailed mathematical proof. It is expected that the results and methods presented in this book will promote further investigation of mathematical models for processes in composite and perforated media, heat-transfer, energy transfer by radiation, processes of diffusion and filtration in porous media, and that they will stimulate research in other problems of mathematical physics and the theory of partial differential equations."@en

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  • "Electronic books"
  • "Electronic books"@en

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  • "Navier-Stokes equations and nonlinear funcitonal analysis"
  • "Navier - stokes equations and nonlinear functional analysis"
  • "Navier-Stokes equations theory and numerical analysis"@en
  • "Navier-Stokes equations theory and numerical analysis"
  • "Navier-stokes equations. Theory and numerical analysis"
  • "Uravnenija Navʹe-Stoksa : teorija i čislennyj analiz"
  • "Navier-stokes equations : theory and numerical analysis"
  • "Navier-stokes equations : theory and numerical analysis"@en
  • "Navier-Stokes equations : theory and numerical analysis"
  • "Navier-Stokes equations : theory and numerical analysis"@en
  • "Navier-Stokes equations : Theory and numerical analysis"
  • "Uravneniâ Nav'e-Stoksa : teoriâ i čislennyj analiz"
  • "Navier - stokes equations : theory and numerical analysis"
  • "Navier-Stokes equations"
  • "Navier-Stokes equations"@en
  • "Navier- stokes equations : theory and numerical analysis"
  • "Navier-Stokes equations and nonlinear functional analysis"
  • "Navier-Stokes equations and nonlinear functional analysis"@en
  • "Navier-Stokes Equations : Theory and numerical analysis"
  • "Navier-stokes equations and nonlinear functional analysis"@en
  • "Navier-stokes equations and nonlinear functional analysis"
  • "Navier-stokes equations : theory and numerical analysis rev. ed"
  • "Navier-Stokes equations. Theory and numerical analysis"

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