Mathematical geophysics an introduction to rotating fluids and the Navier-Stokes equations (Clarendon Press, 2006)
Includes bibliographical references (pages 239-246) and index
Preface; Acknowledgements; PART I: GENERAL INTRODUCTION; PART II: ON THE NAVIER-STOKES EQUATIONS; 1 Some elements of functional analysis; 2 Weak solutions of the Navier-Stokes equations; 3 Stability of Navier-Stokes equations; 4 References and remarks on the Navier-Stokes equations; PART III: ROTATING FLUIDS; 5 Dispersive cases; 6 The periodic case; 7 Ekman boundary layers for rotating fluids; 8 References and remarks on rotating fluids; PART IV: PERSPECTIVES; 9 Stability of horizontal boundary layers; 10 Other systems; 11 Vertical layers; 12 Other layers; References
Aimed at graduate students and researchers in mathematics, engineering, oceanography, meteorology and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The Navier-Stokes equations are examined in both incompressible and rapidly rotating forms. - ;Aimed at graduate students, researchers and academics in mathematics, engineering, oceanography, meteorology and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynami