Spatial Decay Bounds of Solutions to the Navier-Stokes Equations for Transient Compressible Viscous Flow

Lü, Yan; Qiu, Hua; Cheng, Lin

doi:10.4134/jkms.2011.48.6.1153

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Cited by 2 publications

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“…The results of the present paper are regarded as a version of Saint-Venant type results. Numerous authors have dealt with Saint-Venant type decay estimate for solutions of equations in a semi-infinite channel or cylinder; we mention in particular the papers of Ames et al, 19 Lin and Payne,20,23,24 Liu et al, 21,25 and Song. 22 When κ depends on the temperature, the problem becomes much more complicated.…”

Section: Introductionmentioning

confidence: 99%

Spatial decay bounds in a channel flow of 2‐D Boussinesq fluid with variable thermal diffusivity

Cheng

2018

Math Methods in App Sciences

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In this paper, the authors investigate the flow of an incompressible Boussinesq fluid in a semi‐infinite plane channel. An explicit spatial decay estimate in terms of the distance from finite end of the channel is obtained from an integro‐differential inequality for an energy integral. To make the result explicit, an upper bound for total energy is also obtained. The results of this paper may be thought of as a version of Saint‐Venant principle.

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Section: Introductionmentioning

confidence: 99%

Spatial decay bounds in a channel flow of 2‐D Boussinesq fluid with variable thermal diffusivity

Cheng

2018

Math Methods in App Sciences

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Spatial decay bound and structural stability for the double-diffusion perturbation equations

Li¹,

Chen

2022

MBE

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<abstract><p>In this paper, we study the double-diffusion perturbation equations when the flow is through a porous medium. If the initial conditions satisfy some constraint conditions, the Saint-Venant type spatial decay of solutions for double-diffusion perturbation equations is obtained. Based on the spatial decay bound, the structural stability for the double-diffusion perturbation equations is also established.</p></abstract>

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Spatial Decay Bounds of Solutions to the Navier-Stokes Equations for Transient Compressible Viscous Flow

Abstract: Abstract. In this paper, spatial decay estimates for the time dependent compressible viscous isentropic flow in a semi-infinite three dimensional pipe are derived.

Cited by 2 publications

References 20 publications

Spatial decay bounds in a channel flow of 2‐D Boussinesq fluid with variable thermal diffusivity

Spatial decay bounds in a channel flow of 2‐D Boussinesq fluid with variable thermal diffusivity

Spatial decay bound and structural stability for the double-diffusion perturbation equations

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