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Research Article | Open Access

Space-time decay rates of a nonconservative compressible two-phase flow model with common pressure

Linyan Fan, Yinghui Zhang( )
School of Mathematics and Statistics, Guangxi Normal University, Guilin 541004, China
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Abstract

In this paper, we study space-time decay rates of a nonconservative compressible two-phase flow model with common pressure in the whole space R 3 . Based on previous temporal decay results, we establish the space-time decay rate of the strong solution. The main analytical techniques involve delicate weighted energy estimates and interpolation.

Keywords

nonconsevativecompressibletwo-phase flow modelspace-time decay rateweighted Sobolev space

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Electronic Research Archive
Volume 33 Issue 2,
February 2025
Pages 667-696
DOI: 10.3934/era.2025031

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Cite this article:
Fan L, Zhang Y. Space-time decay rates of a nonconservative compressible two-phase flow model with common pressure. Electronic Research Archive, 2025, 33(2): 667-696. https://doi.org/10.3934/era.2025031

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Received: 14 November 2024
Revised: 19 December 2024
Accepted: 07 January 2025
Published: 15 February 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)