On time-decay rates of strong solutions for the 3D magnetohydrodynamics equations with nonlinear damping

Li, Jiedi; Fu, Shengbin; Wang, Weiwei

doi:10.1016/j.jmaa.2022.126450

Cited by 4 publications

(1 citation statement)

References 42 publications

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“…The well-posedness problem of the non-Newtonian fluid had been widely investigated, see [29] for the existence results. Motivated by the optimal time-decay rates of solutions of Newtonian fluids, and the result of the long-time behavior of solutions to non-Newtonian compressible fluids, using the methods in [30], we further investigate the global well-posedness and optimal time-decay rates of the solutions for the system (1.2). To this purpose, we should provide the following initial condition for the system (1.2):…”

Section: Later Under the Assumption (mentioning

confidence: 99%

Decay-in-time of solutions for the compressible isentropic non-Newtonian fluids

Wang

Jiang

2023

Preprint

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Motivated by the well-posedness result of non-Newtonian fluids in [Guo-Zhu, J. Differential Equations , 178 (2002), 281-297] and the large behavior result of Navier-Stokes system in [Li-Zhang, Math. Meth. Appl. Sci, 34 (2011), 670-682], we investigate the decay-in-time of solutions for a three-dimensional compressible non-Newtonian fluid. In this paper, we consider the large time behavior of solutions to the Cauchy problem for three-dimensional compressible isentropic non-Newtonian equations.

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Section: Later Under the Assumption (mentioning

confidence: 99%

Decay-in-time of solutions for the compressible isentropic non-Newtonian fluids

Wang

Jiang

2023

Preprint

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Optimal temporal decay rates for 3D compressible magnetohydrodynamics system with nonlinear damping

Zeng,

Fu,

Wang

2024

Applied Mathematics Letters

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Time decay of solutions for compressible isentropic non-Newtonian fluids

Wang,

Jiang

2024

Bound Value Probl

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In this paper, we consider the Cauchy problem of a compressible Navier–Stokes system of Eills-type non-Newtonian fluids. We investigate the time decay properties of classical solutions for the compressible non-Newtonian fluid equations. More specifically, we construct a new linearized system in terms of a combination of the solutions, and then we investigate the long-time behavior of the Cauchy problem for the three-dimensional isentropic compressible Eills-type non-Newtonian fluids with an initial perturbation.

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On time-decay rates of strong solutions for the 3D magnetohydrodynamics equations with nonlinear damping

Cited by 4 publications

References 42 publications

Decay-in-time of solutions for the compressible isentropic non-Newtonian fluids

Decay-in-time of solutions for the compressible isentropic non-Newtonian fluids

Optimal temporal decay rates for 3D compressible magnetohydrodynamics system with nonlinear damping

Time decay of solutions for compressible isentropic non-Newtonian fluids

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