带电薄膜非负解的整体存在性
Electrified thin films: Global existence of non-negative solutions
摘要：
我们考虑一个方程模拟粘性液体薄膜润湿水平固体衬底的演变，不稳定的电场法向基板。电场的影响是由一个低阶的非本地项。我们引入了良好的泛函分析框架来研究有界区域上的该方程，并证明了对于一般初值（具有有限能量），在时间上全局定义的弱解的存在性。
英文摘要：
We consider an equation modeling the evolution of a viscous liquid thin film wetting a horizontal solid substrate destabilized by an electric field normal to the substrate. The effects of the electric field are modeled by a lower order non-local term. We introduce the good functional analysis framework to study this equation on a bounded domain and prove the existence of weak solutions defined globally in time for general initial data (with finite energy).
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