Finally, as the Einstein equations themselves are hyperbolic, one is often lead to understand the long term behaviour of ((non)-linear) wave equations in curved geometries. The Euler and Navier-Stokes ...

GEOL 5216 Global Seismology: Dr. Dueker This course covers the first half of the Global Seismology textbook which includes: derivation of the 1-D vibrating string, the infinitesimal tensorial ...

Pressure waves propagating through bubble-containing liquids in tubes experience considerable attenuation. Researchers have now derived an equation describing this phenomenon, demonstrating that ...