Applied Analysis of the Navier-Stokes Equations

Zusammenfassung An introductory physical and mathematical presentation of the Navier–Stokes equations, suitable as a text book for introductory courses in mathematical fluid dynamics. Includes new and recent results, bringing the reader to the forefront of research in the field. Inhaltsverzeichnis 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.

Product details

• Authors: Doering, Charles R. Doering, Charles R. (Clarkson University Doering, Charles R. Gibbon Doering, J. D. Gibbon
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 28.04.1995
• EAN: 9780521445689
• ISBN: 978-0-521-44568-9
• No. of pages: 232
• Series: Cambridge Texts in Applied Mat
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous