Large Time Decay for the Magnetohydrodynamics System in $\dot{\boldsymbol{H}^{s}}(\mathbb{R}^{n})$
Sign Up to like & getrecommendations! Published in 2019 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-019-00276-y
Abstract: We show that $t^{s/2} \| (\boldsymbol{u},\boldsymbol{b})(t) \|_{{\dot{H}^{s}(\mathbb{R}^{n})}} \to0 $ as $t \to\infty$ for global Leray solutions $(\boldsymbol{u},\boldsymbol{b})(t)$ of the incompressible MHD equations, where $2 \leq n \leq4$ and $s \geq0$ (real). We also provide some… read more here.
Keywords: large time; boldsymbol; magnetohydrodynamics; time decay ... See more keywords
Global well-posedness and time-decay estimates for compressible Navier-Stokes equations with reaction diffusion
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DOI: 10.1007/s11425-020-1779-7
Abstract: We consider the full compressible Navier-Stokes equations with reaction diffusion. A global existence and uniqueness result of the strong solution is established for the Cauchy problem when the initial data is in a neighborhood of… read more here.
Keywords: compressible navier; stokes equations; time; time decay ... See more keywords
Time decay rate of global strong solutions to nematic liquid crystal flows in R+3
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DOI: 10.1016/j.jde.2019.02.021
Abstract: In this paper, we obtain optimal time-decay rates in $L^r(\mathbb R^3_+)$ for $r\ge 1$ of global strong solutions to the nematic liquid crystal flows in $\mathbb R^3_+$, provided the initial data has small $L^3(\mathbb R^3_+)$-norm. read more here.
Keywords: nematic liquid; global strong; time decay; liquid crystal ... See more keywords
Optimal time-decay estimates for an Oldroyd-B model with zero viscosity
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DOI: 10.1016/j.jde.2021.10.046
Abstract: In this work, we consider the Cauchy problem for a diffusive Oldroyd-B model in three dimensions. Some optimal time-decay rates of the solutions are derived via analysis of upper and lower time-decay estimates provided that… read more here.
Keywords: oldroyd model; time; optimal time; time decay ... See more keywords
Global well-posedness and time-decay rates for the compressible quantum model
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DOI: 10.1063/5.0203265
Abstract: In this paper, the compressible quantum model with the given mass source and the external force of general form in R3 is considered. Global existence and uniqueness of the strong solution are established when the… read more here.
Keywords: time decay; compressible quantum; quantum model; decay rates ... See more keywords
Space–time decay rates of a nonconservative compressible two–phase flow model
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0232049
Abstract: This paper concerns the space–time decay rates of strong solution to a nonconservative compressible two–phase flow model in the whole space R3. Based on the previous temporal decay results, it is shown that the space–time… read more here.
Keywords: decay rates; space; time decay; nonconservative compressible ... See more keywords
Large Time Decay Rates of the 2D Micropolar Equations with Linear Velocity Damping
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DOI: 10.3390/math11102311
Abstract: This paper studies the large time behavior of solutions to the 2D micropolar equations with linear damping velocity. It is proven that the global solutions have rapid time decay rates ∥∇ω∥L2+∥∇u∥L2≤C(1+t)−32 and ∥u∥L2≤C(1+t)−32,∥ω∥L2≤C(1+t)−1. The findings… read more here.
Keywords: equations linear; time; decay rates; time decay ... See more keywords
Global large solutions and optimal time-decay estimates to the Korteweg system
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DOI: 10.3934/dcds.2020322
Abstract: We prove the global solutions to the Korteweg system without smallness condition imposed on the vertical component of the incompressible part of the velocity. The weighted Chemin-Lerner-norm technique which is well-known for the incompressible Navier-Stokes… read more here.
Keywords: korteweg system; time decay; system; optimal time ... See more keywords