We reconsider the stability theory of boundary conditions for the wave equation from the point of view of energy techniques. We study, for the case of the homogeneous half-space, a large class of ...

X- and Y-shaped ocean waves that are often seen at beaches may help explain why tsunamis can be so devastating, researchers say. Ocean waves can sometimes interact to yield ripples that are much ...

In this paper, we consider the numerical method for solving the two-dimensional fractional diffusion-wave equation with a time fractional derivative of order α (1 < α < 2). A difference scheme ...

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