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

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Focusing on Nonlinear Stationary Problems, this volume delves into the Navier-Stokes equations, exploring essential mathematical properties like existence, regularity, and uniqueness of solutions. It addresses various motion scenarios in bounded and unbounded domains, highlighting ongoing challenges and presenting conjectures for unresolved issues. The text is self-contained and accessible, featuring over 200 exercises, chapter summaries, and questions, making it an ideal resource for theoretical Fluid Mechanics courses and self-study, while also serving as a valuable reference.