A Numerical Approach for the Existence of Dissipative Weak Solutions to a Compressible Two-fluid Model
A Numerical Approach for the Existence of Dissipative Weak Solutions to a Compressible Two-fluid Model
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DOI：
10.1007/s00021-022-00706-2
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发表时间：
2022-07
影响因子：
1.3
通讯作者：
Yang Li;Bangwei She
中科院分区：
文献类型：
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作者：
Yang Li;Bangwei She
作为诺沃特等人最近工作的延伸。(J Elliptic Parabol EQU 7：537-570 2021)，我们研究了描述多维空间中具有相同速度场的两个流体流动的时间演化的可压缩双流体模型系统的耗散弱解。我们通过有限体积近似证明了耗散弱解的存在性。进一步，我们利用弱强唯一性原理证明了有限体积近似在强解的生命期内收敛于强解。
As an extension of the recent work of Novotný et al. (J Elliptic Parabol Equ 7:537–570 2021), we study the dissipative weak solutions to a compressible two-fluid model system describing the time evolution of two fluid flows sharing the same velocity field in multi-dimensional spaces. We prove the existence of dissipative weak solutions alternatively via a finite volume approximation. Further, we apply the weak–strong uniqueness principle to show the convergence of the finite volume approximation towards the strong solution on the lifespan of the latter.