论文标题
有限延伸的珠弹簧链分子的自由结束问题的弱耗散解决方案：可变的粘度系数
Weak Dissipative solutions to a free-boundary problem for finitely extensible bead-spring chain molecules: variable viscosity coefficients
论文作者
论文摘要
我们研究了稀有边界问题的全球弱解决方案的存在，该问题涉及稀聚合物中有限延伸的珠子弹簧链的演变。在当前上下文中的自由边界是根据\ r {ho} = 1的密度阈值定义的，在此下面，流体被建模为可压缩的，并且在其上面将流体建模为不可压缩的。本文重点介绍了系统中存在的粘度系数取决于聚合物数密度，从而扩展了较早的工作[8]。我们通过将渐近限制作为feireisl，lu和suli在[10]中引入的宏观模型的绝热指数γ构建自由边界问题的弱解（另见[6]）。还建立了耗散（有限能）弱解决方案对自由边界问题的弱顺序稳定性。
We investigate the global existence of weak solutions to a free boundary problem governing the evolution of finitely extensible bead-spring chains in dilute polymers. The free boundary in the present context is defined with regard to a density threshold of \r{ho} = 1, below which the fluid is modeled as compressible and above which the fluid is modeled as incompressible. The present article focuses on the physically relevant case in which the viscosity coefficients present in the system depend on the polymer number density, extending the earlier work [8]. We construct the weak solutions of the free boundary problem by perform ing the asymptotic limit as the adiabatic exponent γgoes to \infty for the macroscopic model introduced by Feireisl, Lu and Suli in [10] (see also [6]). The weak sequential stability of the family of dissipative (finite energy) weak solutions to the free boundary problem is also established.
