TY - BOOK AU - Doering,Charles R. AU - Gibbon,J.D. TI - Applied analysis of the Navier-Stokes equations T2 - Cambridge texts in applied mathematics SN - 9780511608803 (ebook) AV - QA374 .D58 1995 U1 - 532/.0527/01515353 20 PY - 1995/// CY - Cambridge PB - Cambridge University Press KW - Navier-Stokes equations N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015) N2 - The Navier-Stokes equations are a set of nonlinear partial differential equations comprising the fundamental dynamical description of fluid motion. They are applied routinely to problems in engineering, geophysics, astrophysics, and atmospheric science. This book is an introductory physical and mathematical presentation of the Navier-Stokes equations, focusing on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion. Intended for graduate students and researchers in applied mathematics and theoretical physics, results and techniques from nonlinear functional analysis are introduced as needed with an eye toward communicating the essential ideas behind the rigorous analyses UR - https://doi.org/10.1017/CBO9780511608803 ER -