Electronic Research Archive (Feb 2025)

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

  • Linyan Fan,
  • Yinghui Zhang

DOI
https://doi.org/10.3934/era.2025031
Journal volume & issue
Vol. 33, no. 2
pp. 667 – 696

Abstract

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In this paper, we study space-time decay rates of a nonconservative compressible two-phase flow model with common pressure in the whole space $ \mathbb{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