Large time behavior of solutions to a two phase fluid model in R-3
Large time behavior of solutions to a two phase fluid model in R-3
复制标题
R-3 中两相流体模型解的大时间行为
DOI：
10.1016/j.jmaa.2021.125296
复制
发表时间：
2021
影响因子：
1.3
通讯作者：
Yue Zhang
中科院分区：
文献类型：
--
作者：
Houzhi Tang;Yue Zhang
研究了一类两相流体模型的经典解的整体存在性和大时间性态，该模型由可压缩等熵Euler方程和可压缩等熵Navier-Stokes方程通过阻力耦合而成，其初始条件是H4（R3）<$L1（R3）中的初值足够小.分析中使用的主要工具是频谱分析和能量法。结果表明，经典解以代数衰减率收敛到给定的平衡态。
We establish the global existence and large time behavior of a unique classical solution for a two phase fluid model consisting of the compressible isothermal Euler equations coupled with compressible isentropic Navier-Stokes equations via a drag force, provided the initial data is sufficiently small in H 4 (R 3)∩ L 1 (R 3). The main tools employed in the analysis are the spectrum analysis and energy method. Our results show that the classical solution converges to a given equilibrium state at algebra decay rate.