论文标题
分析粘弹相分离模型
Analysis of a viscoelastic phase separation model
论文作者
论文摘要
基于系统衍生的保守两流体模型，提出了一种新的粘弹性相分离模型。现象学粘弹性术语包括耗散效应。通过构造，该模型与热力学的第二定律一致，我们研究了模型的适当性，即存在较弱的解决方案，弱的唯一性原理以及相对于扰动的稳定性，这是通过相对能量估计来证明的。在数值测试中观察到与介质模拟的良好定性一致性。
A new model for viscoelastic phase separation is proposed, based on a systematically derived conservative two-fluid model. Dissipative effects are included by phenomenological viscoelastic terms. By construction, the model is consistent with the second law of thermodynamics, and we study well-posedness of the model, i.e., existence of weak solutions, a weak-strong uniqueness principle, and stability with respect to perturbations, which are proven by means of relative energy estimates. A good qualitative agreement with mesoscopic simulations is observed in numerical tests.
