About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 63. Chapters: Navier-Stokes equations, Bernoulli's principle, Drag equation, Vorticity equation, Advection, Barotropic vorticity equation, Darcy-Weisbach equation, Camassa-Holm equation, Derivation of the Navier-Stokes equations, Mild-slope equation, Korteweg-de Vries equation, Euler equations, Boussinesq approximation, Degasperis-Procesi equation, Reynolds transport theorem, Darcy friction factor formulae, Orr-Sommerfeld equation, Rankine-Hugoniot conditions, Primitive equations, Hunter-Saxton equation, Hasegawa-Mima equation, Borda-Carnot equation, Herschel-Bulkley fluid, Morison equation, Stokes flow, Starling equation, Continuity equation, Shallow water equations, Hazen-Williams equation, Pressure-correction method, Benedict-Webb-Rubin equation, Groundwater energy balance, Cahn-Hilliard equation, Pipe network analysis, Kadomtsev-Petviashvili equation, Kelvin's circulation theorem, Washburn's equation, Taylor-Goldstein equation, Burgers' equation, Kozeny-Carman equation, Fanning friction factor, Stream thrust averaging, Oseen equations, Benjamin-Bona-Mahony equation, Davey-Stewartson equation, Relativistic Euler equations, Buckley-Leverett equation, Lamb-Oseen vortex, Faxen's law, Euler-Tricomi equation, Hadamard-Rybczynski equation, Rankine vortex, Milne-Thomson circle theorem, Kaufmann vortex, Velocity potential, Black-oil equations, Prony equation, Batchelor vortex, Vatistas vortices, Karman-Howarth equation. Excerpt: In fluid dynamics, the Camassa-Holm equation is the integrable, dimensionless and non-linear partial differential equation The equation was introduced by Camassa and Holm as a bi-Hamiltonian model for waves in shallow water, and in this context the parameter is positive and the solitary wave solutions are smooth solitons. In the special case that is equal to zero, the Camassa-Holm equation has peakon solut...
