Dynamical oceanography

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This textbook offers a mathematical introduction to large-scale ocean circulation theory, suitable for readers with basic knowledge of mathematics and physics, including continuum mechanics and ordinary differential equations. It is divided into four parts. Part I (chapters 1-4) provides a brief overview of ocean circulation and the mathematical formulation of governing equations, introducing essential concepts for understanding large-scale ocean currents. Part II (chapters 5-10) delves into the theory of mid-latitude wind-driven ocean circulation, employing a top-down model development approach and deriving reduced equations through asymptotics and scaling. Part III (chapters 11-12) explores equatorial currents and El Niño phenomena. Finally, Part IV (chapters 13-16) addresses planetary scale flows, discussing topics like the thermocline problem, the Antarctic Circumpolar Current, the stability of thermohaline circulation, and Arctic Ocean circulation. Each chapter concludes with exercises designed to enhance methodological skills and familiarize readers with physical concepts, with new material introduced in only a few exercises. Fully worked answers to all exercises are available for download from the book's website.