An Introduction to the Mathematical Theory of the Navier-Stokes Equations

Focusing on boundary-value problems related to the Navier-Stokes equations, this comprehensive book explores existence, uniqueness, and regularity of solutions in both bounded and unbounded domains, including their asymptotic behavior. The latest edition merges two previous volumes and adds chapters on steady flow in exterior domains. Each chapter features preliminary discussions, alternative approaches, and historical notes, alongside over 400 exercises for students and researchers. A vast bibliography supports further exploration of the topics.