Open AccessThe Cauchy problem of a two-phase flow model for a mixture of non-interacting compressible fluids
Author(s) -
Zhen Cheng,
Wenjun Wang
Publication year - 2021
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2021151
Subject(s) - compressibility , dissipation , mathematics , initial value problem , compressible flow , decomposition , cauchy problem , cauchy distribution , phase (matter) , flow (mathematics) , order (exchange) , physics , superadditivity , mathematical analysis , mathematical physics , pure mathematics , thermodynamics , quantum mechanics , geometry , chemistry , organic chemistry , finance , economics
In this paper, we consider the global existence of the Cauchy problem for a version of one velocity Baer-Nunziato model with dissipation for the mixture of two compressible fluids in \begin{document}$ \mathbb{R}^3 $\end{document} . We get the existence theory of global strong solutions by using the decaying properties of the solutions. The energy method combined with the low-high-frequency decomposition is used to derive such properties and hence the global existence. As a byproduct, the optimal time decay estimates of all-order spatial derivatives of the pressure and the velocity are obtained.