scholarly journals The unique global solvability and optimal time decay rates for a multi-dimensional compressible generic two-fluid model with capillarity effects

Nonlinearity ◽  
2020 ◽  
Vol 34 (1) ◽  
pp. 164-204
Author(s):  
Fuyi Xu ◽  
Meiling Chi
Keyword(s):  
Fluid Model ◽  
Global Solvability ◽  
Decay Rates ◽  
Optimal Time ◽  
Time Decay ◽  
Time Decay Rates ◽  
Two Fluid Model ◽  
Two Fluid

Decay Rates for a Nonconservative Compressible Generic Two-Fluid Model

2016 ◽  
Vol 48 (1) ◽  
pp. 470-512 ◽  
Author(s):  
Haibo Cui ◽  
Wenjun Wang ◽  
Lei Yao ◽  
Changjiang Zhu
Keyword(s):  
Fluid Model ◽  
Decay Rates ◽  
Two Fluid Model ◽  
Two Fluid

scholarly journals Optimal time-decay rate of global classical solutions to the generalized compressible Oldroyd-B model

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Shuai Liu ◽  
Yuzhu Wang
Keyword(s):  
Decay Rate ◽  
Decay Rates ◽  
Classical Solutions ◽  
Optimal Time ◽  
Time Decay ◽  
Global Classical Solutions ◽  
Time Decay Rates ◽  
Two Space Dimensions ◽  
Time Decay Rate ◽  
Three Space

<p style='text-indent:20px;'>In this paper, we investigate the optimal time-decay rates of global classical solutions for the compressible Oldroyd-B model in <inline-formula><tex-math id="M1">\begin{document}$ \mathbb{R}^n(n = 2,3) $\end{document}</tex-math></inline-formula>. Global classical solutions in two space dimensions are still open. We first complete the proof of global classical solutions in two space dimensions. Based on global classical solutions and Fourier spectrum analysis, we obtain the optimal time-decay rates of global classical solutions in two and three space dimensions. More precisely, if the initial data belong to <inline-formula><tex-math id="M2">\begin{document}$ L^1 $\end{document}</tex-math></inline-formula>, the optimal time-decay rate of solutions and time-decay rates of <inline-formula><tex-math id="M3">\begin{document}$ l(l = 1,\cdot\cdot\cdot,m) $\end{document}</tex-math></inline-formula> order derivatives under additional assumptions are established.</p>

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