论文标题
在流动从纤维上流动的液膜模型的行驶波解决方案上
On travelling wave solutions of a model of a liquid film flowing down a fibre
论文作者
论文摘要
对于流动垂直纤维的液态薄膜的完整曲率薄膜模型显示了非负弱溶液的存在。该证明是基于对能量循环功能的先验估计的应用。分析了这些弱解决方案的长期行为，并在模型参数的一些其他约束和初始值的其他约束下，获得了向波动波解决方案的收敛。提出了能量最小化和行进波的数值研究，以说明分析结果。
Existence of non-negative weak solutions is shown for a full curvature thin-film model of a liquid thin film flowing down a vertical fibre. The proof is based on the application of a priori estimates derived for energy-entropy functionals. Long-time behaviour of these weak solutions is analysed and, under some additional constraints for the model parameters and initial values, convergence towards a travelling wave solution is obtained. Numerical studies of energy minimizers and travelling waves are presented to illustrate analytical results.
