Communications in Mathematical Sciences

Volume 16 (2018)

Number 5

Time periodic solutions for a three-dimensional non-conservative compressible two-fluid model

Pages: 1267 – 1302



Yinghui Wang (School of Mathematics, Northwest University, Xi’an, China)

Lei Yao (School of Mathematics, Northwest University, Xi’an, China)


In this paper, we consider the existence of time periodic solution to a non-conservative compressible two-fluid model with constant viscosity coefficients and unequal pressure functions $P^{+} \neq P^{-}$ in periodic domains of $\mathbb{R}^3$. Based on the topological degree theory, we obtain the existence of the time periodic solution under some smallness assumptions.


time periodic solution, non-conservative compressible two-fluid model, topological degree method

2010 Mathematics Subject Classification

35B10, 76N10, 76T10

Received 24 November 2017

Received revised 21 April 2018

Accepted 21 April 2018

Published 19 December 2018