In this paper we give a unified proof to the soliton resolution conjecture along a sequence of times, for the semilinear focusing energy critical wave equations in the radial case and two dimensional ...

Linear and quasilinear first order PDE. The method of characteristics. Conservation laws and propagation of shocks. Basic theory for three classical equations of mathematical physics (in all spatial ...

This is a preview. Log in through your library . Abstract In this paper we develop two conforming finite element methods for a fourth order bi-wave equation arising as a simplified ...

The wave equation is a very important formula that is often used to help us describe waves in more detail. It should be noted that some particular waves have their own specific speeds. The speed of ...

Last year, onlookers observed a startling site 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 tidal ...