Tsunamis and hurricanes : a mathematical approach

著者

• Cap, Ferdinand

書誌事項

Tsunamis and hurricanes : a mathematical approach

Ferdinand Cap

Springer, c2006

注記

Includes bibliographical references (p. [181]-191) and index

内容説明・目次

内容説明

This book presents new research on the mathematical description of tsunamis and hurricanes. The description includes dissipative terms and does not contain singularities or two valued functions. The book uses the equivalence principle of solutions of nonlinear large gas dynamic waves and of solutions of water wave equations. An extension of the continuity equation by a source term due to evaporation rates of salt seawater help to understand hurricanes. Detailed formula, tables, and results of the calculations are given.

目次

1 Introduction to wave physics 1.1 Types of waves 1.2 Linear wave equations 1.3 Solutions of linear wave equations 1.4 Nonlinear wave equations 1.5 Physics of nonlinear wave equations 2 Basic flow equations 2.1 Units and properties of substances 2.2 Conservation ofmass 2.3 The equation of motion 2.4 Conservation of energy 2.5 Thermodynamics 2.6 Vorticity theorems 2.7 Potential flow in incompressible fluids 2.8 Potential flow in compressible fluids4 2.9 The DARBOUX solution of plane waves in non-dissipative gases 2.10 The equivalence theorem 3 Water waves 3.1 The variety of water waves 3.2 Gravity water waves 3.3 Capillarity waves 3.4 Solitons 3.5 Dissipationless tsunamis2 3.6 Wave equation for dissipative tsunamis 3.7 The tsunami wave equations 4. Hurricanes 4.1 Terminology and basics 4.2 The excitation of vorticity in cyclones 4.3 Mathematical modelling of cyclones 4.4 Multifluid cyclone modelling References Index

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA80293810
• ISBN:
  • 9783211331583
• 出版国コード: au
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Wien
• ページ数/冊数: 197 p.
• 大きさ: 25 cm