We carry out numerical simulations of the defocusing energy-supercritical nonlinear wave equation for a range of spherically-symmetric initial conditions. We demonstrate numerically that the critical Sobolev norm of solutions remains bounded in time. This lends support to conditional scattering results that have been recently established for nonlinear wave equations.

中文翻译：

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能量-超临界非线性波动方程的数值模拟

我们对一系列球对称初始条件下的散焦能量-超临界非线性波动方程进行数值模拟。我们通过数值证明了解决方案的关键 Sobolev 范数在时间上仍然是有界的。这为最近为非线性波动方程建立的条件散射结果提供了支持。