Remarks on Exponential Stability of Solutions for the Compressible <em>p</em>-th Power Newtonian Fluid with Large Initial Data

In this paper, we prove the regularity and exponential stability of solutions in Hi (i = 2, 4) for a pth power Newtonian fluid undergoing one-dimensional longitudinal motions. Some new ideas and more delicate estimates are introduced to prove these results.

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Asymptotic behavior of compressible p-th power Newtonian fluid with large initial data

Journal of Differential Equations ◽

10.1016/j.jde.2014.10.011 ◽

2015 ◽

Vol 258 (3) ◽

pp. 919-953 ◽

Cited By ~ 11

Author(s):

Haibo Cui ◽

Zheng-an Yao

Keyword(s):

Asymptotic Behavior ◽

Initial Data ◽

Newtonian Fluid ◽

Large Initial Data

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Global classical solution to a one-dimensional compressible non-Newtonian fluid with large initial data and vacuum

Nonlinear Analysis ◽

10.1016/j.na.2018.04.025 ◽

2018 ◽

Vol 174 ◽

pp. 189-208 ◽

Cited By ~ 1

Author(s):

Li Fang ◽

Huan Zhu ◽

Zhenhua Guo

Keyword(s):

Initial Data ◽

Classical Solution ◽

Newtonian Fluid ◽

Global Classical Solution ◽

Large Initial Data ◽

One Dimensional

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Global well-posedness to the 2D Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-021-01957-z ◽

2021 ◽

Vol 60 (2) ◽

Author(s):

Xin Zhong

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Heat Conducting ◽

Well Posedness ◽

Magnetohydrodynamic Equations ◽

Large Initial Data ◽

Nonhomogeneous Heat

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Life span of solutions with large initial data for a superlinear heat equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.02.018 ◽

2008 ◽

Vol 343 (2) ◽

pp. 1061-1074 ◽

Cited By ~ 7

Author(s):

Shota Sato

Keyword(s):

Initial Data ◽

Heat Equation ◽

Life Span ◽

Large Initial Data

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Global solutions to Keller-Segel-Navier-Stokes equations with a class of large initial data in critical Besov spaces

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4538 ◽

2017 ◽

Vol 40 (18) ◽

pp. 7425-7437

Author(s):

Minghua Yang

Keyword(s):

Initial Data ◽

Besov Spaces ◽

Stokes Equations ◽

Global Solutions ◽

Navier Stokes ◽

Large Initial Data ◽

Navier Stokes Equations ◽

Critical Besov Spaces

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Exponential Stability of Solutions to Delay Difference Equations with Periodic Coefficients

Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy ◽

10.1007/978-3-030-38870-6_13 ◽

2020 ◽

pp. 93-100

Author(s):

G. V. Demidenko ◽

D. Sh. Baldanov

Keyword(s):

Exponential Stability ◽

Difference Equations ◽

Stability Of Solutions ◽

Periodic Coefficients ◽

Delay Difference Equations ◽

Delay Difference

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Existence and Stability of Solutions of Fuzzy Fractional Stochastic Differential Equations with Fractional Brownian Motions

Advances in Fuzzy Systems ◽

10.1155/2021/3948493 ◽

2021 ◽

Vol 2021 ◽

pp. 1-9

Author(s):

Elhoussain Arhrrabi ◽

M’hamed Elomari ◽

Said Melliani ◽

Lalla Saadia Chadli

Keyword(s):

Brownian Motion ◽

Differential Equations ◽

Exponential Stability ◽

Stochastic Differential Equations ◽

Fractional Brownian Motion ◽

Stability Of Solutions ◽

Brownian Motions ◽

Fractional Brownian Motions ◽

Existence And Stability ◽

Fractional Stochastic Differential Equations

The existence, uniqueness, and stability of solutions to fuzzy fractional stochastic differential equations (FFSDEs) driven by a fractional Brownian motion (fBm) with the Lipschitzian condition are investigated. Finally, we investigate the exponential stability of solutions.

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