The goals of these lecture notes, based on courses presented by the author at the Courant Institute of Mathematical Sciences, are to introduce mathematicians to the fascinating and important area of atmosphere/ocean science (AOS) and, conversely, to develop a mathematical viewpo…
DYNAMIC FIELDS AND WAVES
The theory of waves is generalized on cases when waves change medium in which they appear and propagate. A reaction of structural elements and space objects to the dynamic actions of the different nature, durations, and intensities is studied. It considers the effects of transit…
The theory of waves is generalized on cases of strongly nonlinear waves, multivalued waves, and particle-waves. The appearance of these waves in various continuous media and physical fields is explained by resonances and nonlinearity effects. Extreme waves emerging in different …
La 4e de couverture indique : "Anchored in simple and familiar physics problems, the author provides a focused introduction to mathematical methods in a narrative driven and structured manner. Ordinary and partial differential equation solving, linear algebra, vector calculus, c…
