A reference for analytical methods for modelling acoustic problems, a repository of known results and methods in the theory of aerodynamic sound, and a graduate-level textbook.

Professor Bennett's work explores the potential for inverse theory, emphasizing possibilities rather than expedient or rudimentary applications. In addition to interpolating the data and adding realism to the model solutions, the methods can yield estimates for unobserved flow variables, forcing fields, and model parameters. Inverse formulations can resolve ill-posed modeling problems, lead to design criteria for oceanic observing systems, and enable the testing of models as scientific hypothesis. Ocean models considered range from linear, finite-dimensional systems of equality and inequality...

This book describes the research done on the problems of Benard convection, its modern offspring the RayleighSHBenard problem, and Taylor vortices. Both problems are classical examples in the theory of hydrodynamic stability and share many features. While linear theory describing the onset of instability for both problems is practically completed, nonlinear problems are at the forefront of research. Thus the author concentrates on the impressive progress that has been made in the theoretical and experimental investigation of the nonlinear problems and outlines the remaining basic problems.

The analysis of the circulation of the blood is one of the most important areas of fluid mechanics research, with far-reaching medical and physiological implications. This text looks at the fluid mechanics of large blood vessels.

This monograph deals with the structure, generation and stability of flames from a mathematical point of view.

The ocean is transparent to sound where slight irregularities within the ocean cause sound fluctuations, and thus set limits on the many uses of sound in the ocean, similar to the limits imposed by the atmosphere on ground-based telescopes. This 1979 book attempts to connect the known structure of the ocean volume with experimental results in long-range sound transmission. Theories of wave propagation through irregular media, developed for optical and radio wave transmission are found to be inapplicable in many respects due to the complications of ocean structure, particularly the combination...

Offers modern and numerical techniques for the stability of fluid flow with illustrations, an extensive bibliography, and exercises with solutions.

Offers modern and numerical techniques for the stability of fluid flow with illustrations, an extensive bibliography, and exercises with solutions.