论文标题
放松在一维薄膜方程中与部分润湿的平衡
Relaxation to equilibrium in the one-dimensional thin-film equation with partial wetting
论文作者
论文摘要
我们研究了针对一维薄膜方程的紧凑型解决方案的较大时间行为，并在部分润湿方面具有线性迁移率。我们显示了稳态解决方案的稳定性。证明使用拉格朗日坐标。我们的方法是建立和利用能量与耗散之间的差异关系以及某些插值不平等。我们的结果与早期结果不同，因为我们在这里考虑具有有限质量的解决方案。
We investigate the large time behavior of compactly supported solutions for a one-dimensional thin-film equation with linear mobility in the regime of partial wetting. We show the stability of steady state solutions. The proof uses the Lagrangian coordinates. Our method is to establish and exploit differential relations between the energy and the dissipation as well as some interpolation inequalities. Our result is different from earlier results because here we consider solutions with finite mass.
