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Geophysical & Astrophysical Fluid Dynamics Volume 39, 1987 - Issue 1-2
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Original Articles

Unconditional nonlinear stability in penetrative convection

L. E. Payne Department of Mathematics, Cornell University, Ithaca, New York, 14853, U.S.A.
&
B. Straughan Department of Mathematics, Universiry Gardens, Glasgow, G12 8QW, Scotland
Pages 57-63 | Received 17 Feb 1987, Published online: 18 Aug 2006

Citations (18)

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Read on this site (2)

J.H. George, R.D. Gunn & B. Straughan. (1989) Patterned ground formation and penetrative convection in porous media. Geophysical & Astrophysical Fluid Dynamics 46:3, pages 135-158.
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L.E. Payne & B. Straughan. (1988) Unconditional nonlinear stability in penetrative convection: Corrected and extended numerical results. Geophysical & Astrophysical Fluid Dynamics 43:3-4, pages 307-309.
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Articles from other publishers (16)

Zijing Ding & Zhen Ouyang. (2023) Penetrative convection: heat transport with marginal stability assumption. Journal of Fluid Mechanics 960.
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Amit Mahajan, Paras Ram & Oluwole Daniel Makinde. (2018) Penetrative Internally Heated Convection in Magnetic Fluids. Defect and Diffusion Forum 387, pages 373-384.
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Akil J. Harfash & Ahmed K. Alshara. (2015) Three-dimensional simulation for problem of penetrative convection near the maximum density. Journal of Hydrodynamics 27:2, pages 292-303.
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F. Capone, M. Gentile & A. A. Hill. (2010) Penetrative convection in anisotropic porous media with variable permeability. Acta Mechanica 216:1-4, pages 49-58.
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B. Straughan. (2004) Resonant porous penetrative convection. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 460:2050, pages 2913-2927.
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. (1997) Anisotropic porous penetrative convection. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 452:1944, pages 97-115.
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K.A. Ames & Shannon S. Cobb. (1994) Penetrative convection in a porous medium with internal heat sources. International Journal of Engineering Science 32:1, pages 95-105.
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K.A Lindsay & C.E Rooney. (1992) A note on compound matrices. Journal of Computational Physics 103:2, pages 472-477.
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K.A. Lindsay & B. Straughan. (1992) Penetrative convection in a micropolar fluid. International Journal of Engineering Science 30:12, pages 1683-1702.
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G. McKay & B. Straughan. (1992) Nonlinear energy stability and convection near the density maximum. Acta Mechanica 95:1-4, pages 9-28.
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Brian Straughan. (1991) Continuous dependence on the heat source and non-linear stability in penetrative convection. International Journal of Non-Linear Mechanics 26:2, pages 221-231.
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K. A. Ames & B. Straughan. (1990) Penetrative convection in fluid layers with internal heat sources. Acta Mechanica 85:3-4, pages 137-148.
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K. A. Lindsay & B. Straughan. (1990) Energy methods for nonlinear stability in convection problems primarily related to geophysics. Continuum Mechanics and Thermodynamics 2:4, pages 245-277.
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Brian Straughan. (1989) Convection in a variable gravity field. Journal of Mathematical Analysis and Applications 140:2, pages 467-475.
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H. A. Levine, L. E. Payne, P. E. Sacks & B. Straughan. (1989) Analysis of a Convective Reaction-Diffusion Equation II. SIAM Journal on Mathematical Analysis 20:1, pages 133-147.
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L.E. Payne, J.C. Song & B. Straughan. (1988) Double diffusive porous penetrative convection—thawing subsea permafrost. International Journal of Engineering Science 26:8, pages 797-809.
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