Tsunamis and Hurricanes

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