The Cauchy problem for a 1D compressible viscous micropolar fluid model: Analysis of the stabilization and the regularity

Qin, Yuming; Wang, Taige; Hu, Guili

doi:10.1016/j.nonrwa.2010.10.023

Cited by 42 publications

(21 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Crane [4] extended the work of Sakiadis [1] to the flow caused by an elastic sheet moving in its own plane with a velocity varying linearly with the distance from a fixed point. Also, heat and mass transfer aspects with Newtonian/non-Newtonian fluids are studied by several authors [5][6][7][8][9][10][11] under different physical situations.…”

Section: Introductionmentioning

confidence: 99%

Unsteady convective boundary layer flow of a viscous fluid at a vertical surface with variable fluid properties

Vajravelu

Prasad

2013

Nonlinear Analysis: Real World Applications

112

View full text Add to dashboard Cite

a b s t r a c tIn this paper we present numerical solutions to the unsteady convective boundary layer flow of a viscous fluid at a vertical stretching surface with variable transport properties and thermal radiation. Both assisting and opposing buoyant flow situations are considered. Using a similarity transformation, the governing time-dependent partial differential equations are first transformed into coupled, non-linear ordinary differential equations with variable coefficients. Numerical solutions to these equations subject to appropriate boundary conditions are obtained by a second order finite difference scheme known as the Keller-Box method. The numerical results thus obtained are analyzed for the effects of the pertinent parameters namely, the unsteady parameter, the free convection parameter, the suction/injection parameter, the Prandtl number, the thermal conductivity parameter and the thermal radiation parameter on the flow and heat transfer characteristics. It is worth mentioning that the momentum and thermal boundary layer thicknesses decrease with an increase in the unsteady parameter.

show abstract

Section: Introductionmentioning

confidence: 99%

Unsteady convective boundary layer flow of a viscous fluid at a vertical surface with variable fluid properties

Vajravelu

Prasad

2013

Nonlinear Analysis: Real World Applications

112

View full text Add to dashboard Cite

show abstract

“…Let the initial functions ρ 0 , v 0 , ω 0 and θ 0 satisfy conditions (12) and (21). Then for any T ∈ R + there exists unique generalized solution of the problem (1)- (11) on the domain Q T having the property…”

Section: Statement Of the Problem And The Main Resultsmentioning

confidence: 99%

“…Analysis of large time behavior of the solution for the compressible micropolar fluid model in one dimension was made by Mujaković in [11], as well as the stabilization result which is proved for example in [12] or in [14] for the Cauchy problem. Other authors also analyze large time behavior and stabilization of the solution for various problems concerning micropolar fluids, for example Qin, Wang and Hu in [20].…”

Section: Introductionmentioning

confidence: 99%

3-D flow of a compressible viscous micropolar fluid with spherical symmetry: Large time behavior of the solution

Črnjarić-Žic

Mujaković

2015

Journal of Mathematical Analysis and Applications

View full text Add to dashboard Cite

We consider the non-stationary 3-D flow of a compressible viscous heat-conducting micropolar fluid in the domain that is the subset of R 3 bounded with two concentric spheres that present solid thermo-insulated walls. Under the assumption that the fluid is perfect and polytropic in the thermodynamical sense as well as that the initial density and temperature are strictly positive and that the initial data are sufficiently smooth spherically symmetric functions, the corresponding problem with homogeneous boundary data has a unique generalized solution for any time interval [0, T ], T ∈ R + . In this work we analyze large time behavior of the solution and prove its stabilization.

show abstract

“…In Qin et al's work [110,112], the former two cases (1.1.9)-(1.1.11) have been summarized together for higher regularity of H 2 and H 4 global solutions. This chapter is ti employ the basic ideas in [54,110] to obtain the global solutions in H 1 for a 1D ideal gas MHD system (1.1.1)-(1.1.6) similar to that of [58] and then obtain the regularity and asymptotic behavior of H 2 and H 4 global solutions.…”

Section: Bibliographic Commentsmentioning

confidence: 99%

Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations

Qin¹,

Liu²,

Wang³

2015

Frontiers in Mathematics

Self Cite

View full text Add to dashboard Cite

The Cauchy problem for a 1D compressible viscous micropolar fluid model: Analysis of the stabilization and the regularity

Cited by 42 publications

References 20 publications

Unsteady convective boundary layer flow of a viscous fluid at a vertical surface with variable fluid properties

Unsteady convective boundary layer flow of a viscous fluid at a vertical surface with variable fluid properties

3-D flow of a compressible viscous micropolar fluid with spherical symmetry: Large time behavior of the solution

Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations

Contact Info

Product

Resources

About