On the Stability of a Forward-Backward Heat Equation
On the Stability of a Forward-Backward Heat Equation
复制标题
正向-反向热方程的稳定性
DOI：
10.1007/s00020-012-1963-y
复制
发表时间：
2012
影响因子：
0.8
通讯作者：
Boulton L
中科院分区：
文献类型：
--
作者：
Boulton L
本文研究了一类周期奇异Sturm-Liouville问题的谱性质，这类问题高度非自伴随但具有纯实数谱。该问题起源于对旋转圆筒内表面黏性流体膜的润滑近似的研究，近年来受到了大量的关注。我们的主要重点将是确定Schatten类包裹体的解析算子和相关演化方程的正则性。
In this paper we examine spectral properties of a family of periodic singular Sturm–Liouville problems which are highly non-self-adjoint but have purely real spectrum. The problem originated from the study of the lubrication approximation of a viscous fluid film in the inner surface of a rotating cylinder and has received a substantial amount of attention in recent years. Our main focus will be the determination of Schatten class inclusions for the resolvent operator and regularity properties of the associated evolution equation.