Tsunamis and Hurricanes
A Mathematical Approach
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Beschreibung
Tsunamis and hurricanes continue to have a devastating impact on the population living near the coast. The calculation of the power and intensity of tsunamis and hurricanes are of great importance not only for engineers and meteorologists but also for governments and insurance companies. This book presents new research on the mathematical description of tsunamis and hurricanes. A combination of old and new approaches allows to derive a nonlinear partial differential equation of fifth order describing the steepening up and the propagation of tsunamis. 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.
Detailed mathematical analysis of tsunamis First exact description of large amplitude waves Combination of old (unknown) and new research
Autor*in
Ferdinand Cap
Themen in »Tsunamis and Hurricanes«
Calculation Coast Dissipation Formation of hurricanes Geoinformationssysteme Gravity waves Nonlinearity effects Surface waves Viscosity and dissipation Water evaporation Wave equations cyclone equation function theorem
Stimmen zu »Tsunamis and Hurricanes«
"... This book is useful for researchers working in mathematical modeling and hydrodynamics." Zentralblatt MATH 11/2007
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