Time-Periodic Solution to the Compressible Navier-Stokes/Allen-Cahn System

Autor:	Chang Ming Song, Jian Lin Zhang, Yuan Yuan Wang
Rok vydání:	2020
Předmět:	Applied Mathematics General Mathematics Mathematical analysis Mathematics::Analysis of PDEs Motion (geometry) Compressible flow Regularization (mathematics) Symmetry (physics) Domain (mathematical analysis) Physics::Fluid Dynamics Compressibility Uniqueness Topology (chemistry) Mathematics
Zdroj:	Acta Mathematica Sinica, English Series. 36:419-442
ISSN:	1439-7617 1439-8516
DOI:	10.1007/s10114-020-9413-2
Popis:	In this paper, we investigate the time-periodic solution to a coupled compressible Navier- Stokes/Allen-Cahn system which describes the motion of a mixture of two viscous compressible fluids with a time periodic external force in a periodic domain in ℝN. The existence of the time-periodic solution to the system is established by using an approach of parabolic regularization and combining with the topology degree theory, and then the uniqueness of the period solution is obtained under some smallness and symmetry assumptions on the external force.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4a09bf6b817495f3949355c39df5d79d https://doi.org/10.1007/s10114-020-9413-2 Zobrazit plný text záznamu Plný text ve formátu PDF