2 papers
math.AP2009
A mathematical model for Tsunami generation using a conservative velocity-pressure hyperbolic system
Alain-Yves Le Roux
By using the Hugoniot curve in detonics as a Riemann invariant of a velocity-pressure model, we get a conservative hyperbolic system similar to the Euler equations. The only differ…
math.AP2009
Sound travellingwaves in wind instruments as solutions to non linear homogeneous gas dynamics equations
Alain-Yves Le Roux
The sound propagation is usually described by a linear homogeneous wave equation, though the air flow in a duct is described by the gas dynamics equations, using a variable cross s…