SIAM Journal on Applied Mathematics, Vol. 77, No. 1 (2017), pp. 26-50 (25 pages) Dissipationless hydrodynamics regularized by dispersion describe a number of physical media including water waves, ...

Dispersive shock waves (DSWs) represent a class of nonlinear wave phenomena in which phase dispersion, rather than viscosity or dissipation, governs the evolution of abrupt changes in a medium. Unlike ...

Abstract: Wave motion lies at the heart of many disciplines in the physical sciences and engineering. For example, problems and applications involving light, sound, heat, or fluid flow are all likely ...

Our research is in the field of nonlinear waves, lying at the nexus of applied mathematics and physics. Mathematically, the nonlinear waves that we investigate are solutions to nonlinear, dispersive ...

The dispersive properties of high order finite element schemes are analyzed in the setting of the Helmholtz equation, and an explicit form of the discrete dispersion relation is obtained for elements ...

New research by University at Buffalo and University of Colorado Boulder mathematicians has uncovered and characterized novel two-dimensional wave patterns — waves that propagate along two directions ...

A powerful 2025 Kuril-Kamchatka earthquake generated a Pacific-wide tsunami, captured by NASA's SWOT satellite. These unprecedented high-resolution i ...

The first experimental verification of Snell’s law for spin waves has been carried out by an international team of researchers. By imaging the incident, refracted and reflected waves at interfaces in ...

Every so often mariners report the sighting of a huge wave towering up to 30 m above the regular swells of the ocean surface. No one is sure why these rogue waves form, but now physicists in the US ...

Scientists have created spin waves with record wavelengths, a breakthrough that could lead to faster, more efficient, and greener electronic technologies. (Nanowerk News) Spin waves are considered to ...