论文标题
二维随机粘性非线性波方程的全球适应性
Global well-posedness of the two-dimensional stochastic viscous nonlinear wave equations
论文作者
论文摘要
我们研究了具有随机强迫的二维圆环上粘性非线性波方程（VNLW）的适当性。特别是，我们证明了随机散热器的全局良好，并用添加剂随机强迫$ d^αξ$，其中$α<\ frac 12 $和$ξ$表示时空白噪声。
We study well-posedness of viscous nonlinear wave equations (vNLW) on the two-dimensional torus with a stochastic forcing. In particular, we prove pathwise global well-posedness of the stochastic defocusing vNLW with an additive stochastic forcing $D^αξ$, where $α< \frac 12$ and $ξ$ denotes the space-time white noise.
