The localized energy estimate for the wave equation is known to be a fairly robust measure of dispersion. Recent analogs on the (1 + 3)-dimensional Schwarzschild space-time have played a key role in a ...

Taking advantage of the techniques introduced in the paper, we also prove the blowup result for the technically similar case of quasilinear wave equations, without null condition, in three space ...

A UB study characterizes two-dimensional wave patterns, such as the undular bores seen in a Chinese river, that move along ...

During 2024, onlookers observed a startling sight on China's Qiantang River: waves forming a grid-like pattern. Dubbed the "matrix tide," this complex wave pattern was caused by the river's famed ...