This volume contains a series of articles on wave phenomena and fluid dynamics, highlighting recent advances in these two areas of mathematics. The collection is based on lectures presented at the conference ""Fluids and Waves--Recent Trends in Applied Analysis"" and features a rich spectrum of mathematical techniques in analysis and applications to engineering, neuroscience, physics, and biology. The mathematical topics discussed range from partial differential equations, dynamical systems and stochastic processes, to areas of classical analysis. This volume is intended as an introduction to major topics of interest and state-of-the-art analytical research in wave motion and fluid flows. It is helpful to junior mathematicians to stay abreast of new techniques and recent trends in these areas of mathematics. The articles here also provide a unique scientific basis for recent results and new links between current research themes. In summary, this book is a guide for experts in one field to the issues of the other, and will challenge graduate students to investigate these areas of analysis in further detail.
This comprehensive text describes the science of waves in fluids.
This book describes the forecasting and risk evaluation of tsunamis by tectonic motion, land slides, explosions, run-up, and maps the tsunami sources in the world's oceans.
... wave height stays the same, the drift velocity becomes higher. If they have not already broken, waves must break when the amplitude equals the depth, as noted in §2.3.11, so the maximum possible shallow-water plane-wave drift velocity ...
This graduate level textbook covers the topics of sound waves, water waves and stability problems in fluids.
Edited by R.H.J. Grimshaw, this book covers the topic of solitary waves in fluids.
The book has the following chapters each of which has its own end of chapter problems: Mathematics - Small angle approximations, complex numbers, complex exponentials, partial derivatives, experimental uncertainties.
K.A. Ames and B. Straughan, Non-Standard and Improperly Posed Problems, Academic Press, San Diego - Toronto, 1997. 3. T. Buckmaster and V. Vicol, Nonuniqueness of weak solutions to the NavierStokes equation, Ann. of Math.
This is the second work of a set of two volumes on the phenomena of wave propagation in nonreacting and reacting media.
Additionally, students may practice by solving 91 exercises. This volume is mainly devoted to inviscid flows. ... The book is very well written." (Denis Serre, Mathematical Reviews, 2004)
The aim of this text is to present the basic paradigms of weakly nonlinear waves in fluids. This book is the outcome of a CISM Summer School held at Udine from September 20-24, 2004.