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This highly acclaimed series provides survey articles on the present state and future direction of research in important branches of applied solid and fluid mechanics. Mechanics is defined as a branch of physics that focuses on motion and on the reaction of physical systems to internal and external forces. Content: Editorial Board Page ii List of contributors Page ix Preface Pages xi-xii A unified theory for modeling water waves Original Research Article Pages 1-88 Theodore Yaotsu Wu Coastal hydrodynamics of ocean waves on beach Original Research Article Pages 89-165 Jin E. Zhang, Theodore Y. Wu, Thomas Y. Hou Onset of oscillatory interfacial instability and wave motions in Bénard layers Original Research Article Pages 167-238 Manuel G. Velarde, Alexander A. Nepomnyashchy, Marcel Hennenberg Role of cryogenic helium in classical fluid dynamics: Basic research and model testing Original Research Article Pages 239-276 Katepalli R. Sreenivasan, Russell J. Donnelly Recent advances in applications of tensor functions in continuum mechanics Original Research Article Pages 277-364 Josef Betten Author index Pages 365-372 Subject index Pages 373-378