The wave maps equation

The Wave Maps Equation

The wave maps equation has become a very popular topic in recent years. The aim of these expository notes is to present a non-technical survey of the ideas and methods which have proved useful in the study of wave maps, leading up to the latest results. The remaining open problems are also stated and explained.

Numerical solution of the wave equation using shearlet frames

In this paper, using shearlet frames, we present a numerical  method  for solving  the wave equation. We define a new shearlet system and by the Plancherel theorem, we calculate the shearlet coefficients.

Wave Maps

is the natural combination of these equations, describing the free motion of an ndimensional surface in a non-Euclidean space; for instance, the motion of a string that is constrained to lie on a sphere would be given (at least to first approximation) as a wave map. As such, wave maps are one of the fundamental equations used to describe geometric motion, although they are not as well understoo...

The wave equation: BASIC SEISMOLOGY

T he foundation of seismology is the theory of wave motion, a complicated concept that is still after centuries of experiments and speculations by many of the very greatest scientists an area of active research in many disciplines. Even simple forms of wave motion are difficult to describe verbally; but, ironically, the simplest type of wave is remarkably easy to describe (and subsequently anal...

The 1-D Wave Equation