Title: Asymptotics of a finite-energy unidirectional solution of the wave equation with non-spherical-wave behavior at infinity Show Chinese title

Title: 波方程有限能量单向解在无限远处非球面波行为的渐近性

Abstract: A detailed investigation is presented of a simple unidirectional finite-energy solution of the 3D wave equation. Its asymptotics as a spatial point runs to infinity with the wave propagations speed is a standard spherical wave as z < 0, where z is a Cartesian coordinate, and has an additional factor logarithmic with respect to the distance as z > 0. Asymptotics for a point running to infinity with an arbitrary constant speed is discussed Show Chinese abstract

Abstract: 对三维波动方程的一个简单单向有限能量解进行了详细研究。当空间点以波传播速度趋于无穷时，其渐近行为在 z < 0 时是一个标准的球面波，其中 z 是一个笛卡尔坐标，在 z > 0 时还具有相对于距离的对数因子。讨论了点以任意常速趋于无穷时的渐近行为。