ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS
ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS
复制标题
DOI：
10.1142/s0218202510004544
复制
发表时间：
2010-07
影响因子：
3.5
通讯作者：
E. Feireisl;H. Petzeltová;E. Rocca;Giulio Schimperna
中科院分区：
文献类型：
--
作者：
E. Feireisl;H. Petzeltová;E. Rocca;Giulio Schimperna
研究了一个描述可压缩流体、粘性流体和宏观不可混溶流体的二元混合物演化的模型。证明了控制混合物运动的可压缩Navier-Stokes方程与序参数为Allen-Cahn方程的耦合系统的整体时间弱解的存在性，而对初始数据大小没有任何限制。
A model describing the evolution of a binary mixture of compressible, viscous, and macroscopically immiscible fluids is investigated. The existence of global-in-time weak solutions for the resulting system coupling the compressible Navier–Stokes equations governing the motion of the mixture with the Allen–Cahn equation for the order parameter is proved without any restriction on the size of initial data.