Statistical Solutions of the Navier-Stokes Equations on the Phase Space of Vorticity and the Inviscid Limits PDF Download
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Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 23
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Book Description
Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 23
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Book Description
Author: Eduard Feireisl
Publisher: Springer Nature
ISBN: 3030947939
Category : Mathematics
Languages : en
Pages : 299
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Book Description
The goal of this monograph is to develop a mathematical theory of open fluid systems in the framework of continuum thermodynamics. Part I discusses the difference between open and closed fluid systems and introduces the Navier-Stokes-Fourier system as the mathematical model of a fluid in motion that will be used throughout the text. A class of generalized solutions to the Navier-Stokes-Fourier system is considered in Part II in order to show existence of global-in-time solutions for any finite energy initial data, as well as to establish the weak-strong uniqueness principle. Finally, Part III addresses questions of asymptotic compactness and global boundedness of trajectories and briefly considers the statistical theory of turbulence and the validity of the ergodic hypothesis.
Author: Coleman duP. Donaldson
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 64
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Author: Heinz-Otto Kreiss
Publisher: SIAM
ISBN: 0898719135
Category : Science
Languages : en
Pages : 408
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Book Description
Annotation This book provides an introduction to the vast subject of initial and initial-boundary value problems for PDEs, with an emphasis on applications to parabolic and hyperbolic systems. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. Researchers and graduate students in applied mathematics and engineering will find Initial-Boundary Value Problems and the Navier-Stokes Equations invaluable. The subjects addressed in the book, such as the well-posedness of initial-boundary value problems, are of frequent interest when PDEs are used in modeling or when they are solved numerically. The reader will learn what well-posedness or ill-posedness means and how it can be demonstrated for concrete problems. There are many new results, in particular on the Navier-Stokes equations. The direct approach to the subject still gives a valuable introduction to an important area of applied analysis.
Author: James C. Robinson
Publisher: Cambridge University Press
ISBN: 052112512X
Category : Mathematics
Languages : en
Pages : 270
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Book Description
Reviews and research articles summarizing a wide range of active research topics in fluid mechanics.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 780
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Book Description
Author: Murli M. Gupta
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 30
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Book Description
Author: Coleman duP. Donaldson
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 242
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Book Description
Author: James Robinson
Publisher: Springer Science & Business Media
ISBN: 9780792369769
Category : Mathematics
Languages : en
Pages : 236
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Book Description
Proceedings of the NATO Advanced Study Institute, Cambridge, UK, 21 August-1 September 1995
Author: Trinh Nguyen
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
The inviscid limit of the Navier-Stokes equations is one of the most fundamental and challenging problems in fluid dynamics. For domains with boundaries under no-slip boundary conditions, the problem is largely open due to large convection terms in the inviscid limit. On the whole space R2, the problem is open for irregular initial data, except for vortex patches and point vortices. This dissertation discusses my results on the inviscid limit of the Navier-Stokes equations. My first results are to justify the inviscid limit on half-space for via a new analytic framework. The analysis is carried out for the classical no-slip boundary condi- tions as well as the critical boundary conditions. Finally, the thesis justifies the inviscid limit for vortex-wave data, which rigorously obtains the vortex-wave system derived in the early 90s by Marchioro-Pulvirenti as a vanishing viscosity limit of the Navier-Stokes equations.
