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

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Focusing on boundary-value problems related to the Navier-Stokes equations, this comprehensive text explores the existence, uniqueness, and regularity of solutions in both bounded and unbounded domains. The updated edition merges two volumes and introduces new chapters on steady generalized Oseen flow and steady Navier-Stokes flow in three-dimensional exterior domains. Each chapter features preliminary discussions, alternative approaches, and historical notes, along with over 400 exercises designed for junior researchers and graduate students, supported by an extensive bibliography.