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The Resource Navier–Stokes Equations : An Introduction with Applications, by Grzegorz Łukaszewicz, Piotr Kalita, (electronic resource)
Navier–Stokes Equations : An Introduction with Applications, by Grzegorz Łukaszewicz, Piotr Kalita, (electronic resource)
Resource Information
The item Navier–Stokes Equations : An Introduction with Applications, by Grzegorz Łukaszewicz, Piotr Kalita, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Navier–Stokes Equations : An Introduction with Applications, by Grzegorz Łukaszewicz, Piotr Kalita, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This volume is devoted to the study of the Navier–Stokes equations, providing a comprehensive reference for a range of applications: from students to engineers and mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differential equations, the reader is introduced to the concept and applications of the Navier–Stokes equations through a series of fully selfcontained chapters. Including lively illustrations that complement and elucidate the text, and a collection of exercises at the end of each chapter, this book is an indispensable, accessible, classroomtested tool for teaching and understanding the Navier–Stokes equations. Incompressible Navier–Stokes equations describe the dynamic motion (flow) of incompressible fluid, the unknowns being the velocity and pressure as functions of location (space) and time variables. A solution to these equations predicts the behavior of the fluid, assuming knowledge of its initial and boundary states. These equations are one of the most important models of mathematical physics: although they have been a subject of vivid research for more than 150 years, there are still many open problems due to the nature of nonlinearity present in the equations. The nonlinear convective term present in the equations leads to phenomena such as eddy flows and turbulence. In particular, the question of solution regularity for threedimensional problem was appointed by Clay Institute as one of the Millennium Problems, the key problems in modern mathematics. The problem remains challenging and fascinating for mathematicians, and the applications of the Navier–Stokes equations range from aerodynamics (drag and lift forces), to the design of watercraft and hydroelectric power plants, to medical applications such as modeling the flow of blood in the circulatory system
 Language
 eng
 Extent
 XIV, 390 p. 24 illus.
 Contents

 Introduction and summary
 Equations of classical hydrodynamics
 Mathematical preliminaries
 Stationary solutions of the Navier–Stokes equations
 Stationary solutions of the Navier–Stokes equations with friction
 Stationary flows in narrow films and the Reynolds equation
 Autonomous twodimensional Navier–Stokes equations
 Invariant measures and statistical solutions
 Global attractors and a lubrication problem
 Exponential attractors in contact problems
 Nonautonomous Navier–Stokes equations and pullback attractors
 Pullback attractors and statistical solutions
 Pullback attractors and shear flows
 Trajectory attractors and feedback boundary control in contact problems.Evolutionary systems and the Navier–Stokes equations
 Attractors for multivalued processes in contact problems
 References
 Index
 Isbn
 9783319277608
 Label
 Navier–Stokes Equations : An Introduction with Applications
 Title
 Navier–Stokes Equations
 Title remainder
 An Introduction with Applications
 Statement of responsibility
 by Grzegorz Łukaszewicz, Piotr Kalita
 Subject

 Differential equations
 Differential equations
 Partial differential equations
 Ordinary Differential Equations
 Partial differential equations
 Dynamics
 Dynamics
 Fluid mechanics
 Electronic resources
 Mathematics
 Fluid mechanics
 Ergodic theory
 Engineering Fluid Dynamics
 Mathematics
 Partial Differential Equations
 Dynamical Systems and Ergodic Theory
 Partial Differential Equations
 Ergodic theory
 Language
 eng
 Summary
 This volume is devoted to the study of the Navier–Stokes equations, providing a comprehensive reference for a range of applications: from students to engineers and mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differential equations, the reader is introduced to the concept and applications of the Navier–Stokes equations through a series of fully selfcontained chapters. Including lively illustrations that complement and elucidate the text, and a collection of exercises at the end of each chapter, this book is an indispensable, accessible, classroomtested tool for teaching and understanding the Navier–Stokes equations. Incompressible Navier–Stokes equations describe the dynamic motion (flow) of incompressible fluid, the unknowns being the velocity and pressure as functions of location (space) and time variables. A solution to these equations predicts the behavior of the fluid, assuming knowledge of its initial and boundary states. These equations are one of the most important models of mathematical physics: although they have been a subject of vivid research for more than 150 years, there are still many open problems due to the nature of nonlinearity present in the equations. The nonlinear convective term present in the equations leads to phenomena such as eddy flows and turbulence. In particular, the question of solution regularity for threedimensional problem was appointed by Clay Institute as one of the Millennium Problems, the key problems in modern mathematics. The problem remains challenging and fascinating for mathematicians, and the applications of the Navier–Stokes equations range from aerodynamics (drag and lift forces), to the design of watercraft and hydroelectric power plants, to medical applications such as modeling the flow of blood in the circulatory system
 http://library.link/vocab/creatorName
 Łukaszewicz, Grzegorz
 Image bit depth
 0
 LC call number
 QA370380
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Kalita, Piotr.
 SpringerLink
 Series statement
 Advances in Mechanics and Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Dynamics
 Ergodic theory
 Differential equations
 Partial differential equations
 Fluid mechanics
 Mathematics
 Partial Differential Equations
 Ordinary Differential Equations
 Dynamical Systems and Ergodic Theory
 Engineering Fluid Dynamics
 Label
 Navier–Stokes Equations : An Introduction with Applications, by Grzegorz Łukaszewicz, Piotr Kalita, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction and summary  Equations of classical hydrodynamics  Mathematical preliminaries  Stationary solutions of the Navier–Stokes equations  Stationary solutions of the Navier–Stokes equations with friction  Stationary flows in narrow films and the Reynolds equation  Autonomous twodimensional Navier–Stokes equations  Invariant measures and statistical solutions  Global attractors and a lubrication problem  Exponential attractors in contact problems  Nonautonomous Navier–Stokes equations and pullback attractors  Pullback attractors and statistical solutions  Pullback attractors and shear flows  Trajectory attractors and feedback boundary control in contact problems.Evolutionary systems and the Navier–Stokes equations  Attractors for multivalued processes in contact problems  References  Index
 Dimensions
 unknown
 Extent
 XIV, 390 p. 24 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319277608
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319277608
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319277608
 Label
 Navier–Stokes Equations : An Introduction with Applications, by Grzegorz Łukaszewicz, Piotr Kalita, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction and summary  Equations of classical hydrodynamics  Mathematical preliminaries  Stationary solutions of the Navier–Stokes equations  Stationary solutions of the Navier–Stokes equations with friction  Stationary flows in narrow films and the Reynolds equation  Autonomous twodimensional Navier–Stokes equations  Invariant measures and statistical solutions  Global attractors and a lubrication problem  Exponential attractors in contact problems  Nonautonomous Navier–Stokes equations and pullback attractors  Pullback attractors and statistical solutions  Pullback attractors and shear flows  Trajectory attractors and feedback boundary control in contact problems.Evolutionary systems and the Navier–Stokes equations  Attractors for multivalued processes in contact problems  References  Index
 Dimensions
 unknown
 Extent
 XIV, 390 p. 24 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319277608
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319277608
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319277608
Subject
 Differential equations
 Differential equations
 Dynamical Systems and Ergodic Theory
 Dynamics
 Dynamics
 Electronic resources
 Engineering Fluid Dynamics
 Ergodic theory
 Ergodic theory
 Fluid mechanics
 Fluid mechanics
 Mathematics
 Mathematics
 Ordinary Differential Equations
 Partial Differential Equations
 Partial Differential Equations
 Partial differential equations
 Partial differential equations
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