非晶薄膜生长模型的定态解
Stationary solutions for a model of amorphous thin-film growth
摘要:
我们考虑一类随机偏微分方程作为非晶薄膜生长的模型。使用谱Galerkin方法,我们验证了存在的固定温和的解决方案,虽然非线性的特定性质,使我们无法显示的解决方案的唯一性以及他们的有界性(在时间上)。
英文摘要:
We consider a class of stochastic partial differential equations arising as a model for amorphous thin film growth. Using a spectral Galerkin method, we verify the existence of stationary mild solutions, although the specific nature of the nonlinearity prevents us from showing the uniqueness of the solutions as well as their boundedness (in time).
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