Applied Analysis of the Navier-Stokes Equations: Cambridge Texts in Applied Mathematics, cartea 12
Autor Charles R. Doering, J. D. Gibbonen Limba Engleză Paperback – 27 apr 1995
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Specificații
ISBN-13: 9780521445689
ISBN-10: 052144568X
Pagini: 232
Ilustrații: 23 b/w illus. 50 exercises
Dimensiuni: 151 x 227 x 20 mm
Greutate: 0.32 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Texts in Applied Mathematics
Locul publicării:Cambridge, United Kingdom
ISBN-10: 052144568X
Pagini: 232
Ilustrații: 23 b/w illus. 50 exercises
Dimensiuni: 151 x 227 x 20 mm
Greutate: 0.32 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Texts in Applied Mathematics
Locul publicării:Cambridge, United Kingdom
Cuprins
1. The equations of motion; 2. Dimensionless parameters and stability; 3. Turbulence; 4. Degrees of freedom, dynamical systems and attractors; 5. On the existence, uniqueness and regularity of solutions; 6. Ladder results for the Navier–Stokes equations; 7. Regularity and length scales for the 2-d and 3-d Navier–Stokes equations; 8. Exponential decay of the Fourier power spectrum; 9. The attractor dimension for the Navier–Stokes equations; 10. Energy dissipation rate estimates for boundary-driven flows.
Recenzii
'The book is written for anyone who strives to understand the inherent difficulties of the nonlinear Navier–Strokes equations … Hopefully, the book will see many editions.' P. Kahlig, Meteorology and Atmospheric Physics
' … the authors have done a thoughtful job of expounding ideas that are not close to the hearts of many mathematicians yet are capable of providing new basic and computational understandings.' J. R. Ockendon, Journal of Fluid Mechanics
'The clear structuring of the scientific content is to be appreciated … The exercises at the end of each chapter are well selected … Hopefully the book will see many editions.' P. Kahlig, Meteorology and Atmospheric Physics
' … the authors have done a thoughtful job of expounding ideas that are not close to the hearts of many mathematicians yet are capable of providing new basic and computational understandings.' J. R. Ockendon, Journal of Fluid Mechanics
'The clear structuring of the scientific content is to be appreciated … The exercises at the end of each chapter are well selected … Hopefully the book will see many editions.' P. Kahlig, Meteorology and Atmospheric Physics
Descriere
This book is an introductory physical and mathematical presentation of the Navier–Stokes equations.