Kategoria BISAC: Science >> Physics - Mathematical & Computational

The existence and qualitative properties of nontrivial solutions for some important nonlinear Schr dinger systems have been studied in this thesis. For a well-known system arising from nonlinear optics and Bose-Einstein condensates (BEC), in the subcritical case, qualitative properties of ground state solutions, including an optimal parameter range for the existence, the uniqueness and asymptotic behaviors, have been investigated and the results could firstly partially answer open questions raised by Ambrosetti, Colorado and Sirakov. In the critical case, a systematical research on ground...

This thesis presents a study of strong stratification and turbulence collapse in the planetary boundary layer, opening a new avenue in this field. It is the first work to study all regimes of stratified turbulence in a unified simulation framework without a break in the paradigms for representation of turbulence.

To date, advances in our understanding and the parameterization of turbulence in the stable boundary layer have been hampered by difficulties simulating the strongly stratified regime, and the analysis has primarily been based on field measurements. The content presented...

This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the underlying Navier-Stokes system, study the problems of sequential stability, and, lastly, construct solutions by means of an implicit numerical scheme. Offering a unique contribution by exploring in detail the synergy of analytical and numerical methods the book offers a valuable resource for...

First published in 1951 to coincide with the British Festival, this book explores the developments in science which had occurred since the Great Exhibition of 1851. Covering the full range of scientific development which had emerged in that time - from fundamental physics to evolution and genetics, and from geology to medical surgery - this accessible collection of essays charts with impressive comprehension and clarity the momentous changes which had occurred in the pursuit of science since the mid-nineteenth century, and ably demonstrates the appropriateness of citing the twentieth...