SPATIAL DECAY BOUNDS FOR A TEMPERATURE DEPENDENT STOKES FLOW

Journal of the Korean Mathematical Society ◽

10.4134/jkms.2012.49.6.1163 ◽

2012 ◽

Vol 49 (6) ◽

pp. 1163-1174

Author(s):

Jong-Chul Song

Keyword(s):

Stokes Flow ◽

Spatial Decay ◽

Temperature Dependent ◽

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Improved spatial decay bounds in the plane Stokes flow

Applied Mathematics and Mechanics ◽

10.1007/s10483-009-0703-z ◽

2009 ◽

Vol 30 (7) ◽

pp. 833-838 ◽

Author(s):

J. C. Song

Keyword(s):

Stokes Flow ◽

Spatial Decay ◽

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Spatial decay bounds and continuous dependence on the data for a class of parabolic initial-boundary value problems

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.11.015 ◽

2006 ◽

Vol 323 (2) ◽

pp. 993-1000 ◽

Author(s):

C. Enache

Keyword(s):

Boundary Value Problems ◽

Continuous Dependence ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Spatial Decay ◽

Decay Bounds ◽

Initial Boundary Value

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Lower bounds for the blow-up time in a temperature dependent Navier–Stokes flow

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.01.083 ◽

2007 ◽

Vol 335 (1) ◽

pp. 371-376 ◽

Author(s):

L.E. Payne ◽

J.C. Song

Keyword(s):

Lower Bounds ◽

Stokes Flow ◽

Blow Up ◽

Navier Stokes ◽

Temperature Dependent

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

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4893 ◽

2018 ◽

Vol 41 (11) ◽

pp. 4287-4304

Author(s):

Yuanfei Li ◽

Changhao Lin

Keyword(s):

Thermal Diffusivity ◽

Channel Flow ◽

Spatial Decay ◽

Decay Bounds ◽

Boussinesq Fluid

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Spatial decay bounds for time dependent magnetohydrodynamic geophysical flow

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2009.01.013 ◽

2010 ◽

Vol 11 (2) ◽

pp. 665-682 ◽

Author(s):

Haobin Li ◽

Changhao Lin

Keyword(s):

Time Dependent ◽

Spatial Decay ◽

Decay Bounds ◽

Geophysical Flow

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Spatial Decay Estimates in Time-Dependent Stokes Flow

SIAM Journal on Mathematical Analysis ◽

10.1137/0524081 ◽

1993 ◽

Vol 24 (6) ◽

pp. 1395-1413 ◽

Author(s):

K. A. Ames ◽

L. E. Payne ◽

P. W. Schaefer

Keyword(s):

Stokes Flow ◽

Time Dependent ◽

Decay Estimates ◽

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Effect of errors in the spatial geometry for temperature dependent Stokes flow

Journal de Mathématiques Pures et Appliquées ◽

10.1016/s0021-7824(99)00011-2 ◽

1999 ◽

Vol 78 (6) ◽

pp. 609-632 ◽

Author(s):

L.E Payne ◽

B Straughan

Keyword(s):

Stokes Flow ◽

Temperature Dependent ◽

Spatial Geometry

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Spatial Decay Bounds in Time Dependent Pipe Flow of an Incompressible Viscous Fluid

SIAM Journal on Applied Mathematics ◽

10.1137/040606326 ◽

2004 ◽

Vol 65 (2) ◽

pp. 458-474 ◽

Author(s):

Changhao Lin ◽

Lawrence E. Payne

Keyword(s):

Viscous Fluid ◽

Pipe Flow ◽

Time Dependent ◽

Incompressible Viscous Fluid ◽

Spatial Decay ◽

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Spatial decay bounds for the channel flow of the Boussinesq equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.02.066 ◽

2011 ◽

Vol 381 (1) ◽

pp. 87-109 ◽

Author(s):

Yan Liu ◽

Yuanfei Li ◽

Yiwu Lin ◽

Zhengan Yao

Keyword(s):

Channel Flow ◽

Boussinesq Equations ◽

Spatial Decay ◽

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ON THE SPATIAL DECAY OF ILL-POSED PARABOLIC PROBLEMS

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s021820259300028x ◽

1993 ◽

Vol 03 (04) ◽

pp. 563-575 ◽

Author(s):

CHANGHAO LIN ◽

L.E. PAYNE

Keyword(s):

Stokes Flow ◽

Parabolic Problems ◽

Infinite Cylinder ◽

Infinite Strip ◽

Spatial Decay ◽

Flow Equations ◽

Decay Of Solutions ◽

This paper investigates the spatial decay of solutions to two ill-posed parabolic initialboundary value problems: 1) the backward heat equatoin defined on a semi-infinite cylinder in ℝN and 2) the backward Stokes flow equations defined on a semi-infinite strip in ℝ2.

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