Foundations of Fluid Dynamics

This monograph on fluid mechanics is not only a superb and unique textbook butalso an impressive piece of research. The author writes from the vantage pointof a... » 

This monograph on fluid mechanics is not only a superb and unique textbook butalso an impressive piece of research. The author writes from the vantage pointof a mathematical physicist Having in mind the important applications andapproximation techniques used in physics and engineering he carefully analysesthe power of the theory. He examines among others the theories of LerayRuelle and Takens and discusses Lorenzs ideas of attractors. This is the onlytextbook that fully covers turbulence all the way from the works of Kolmogorovto modern dynamics. This 2nd corrected printing has been thoroughly revisedwith many changes to improve readability. TOCFrom the contents Continua andGeneralities About Their Equations. Empirical Algorithms. AnalyticalTheories. Analytical Theories and Mathematical Aspects. Incipient Turbulenceand Chaos. Ordering Chaos. Developed Turbulence. Statistical Properties ofTurbulence. Bibliography. Name Index. Subject Index. Citations Index. «