ON STABILIZING AGAINST MODELING ERRORS IN A PENETRATIVE CONVECTION PROBLEM FOR A POROUS MEDIUM

ON STABILIZING AGAINST MODELING ERRORS IN A PENETRATIVE CONVECTION PROBLEM FOR A POROUS MEDIUM
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DOI:
10.1142/s0218202594000406
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发表时间:
1994-10
影响因子:
3.5
通讯作者:
K. Ames;L. Payne
K. Ames;L. Payne
中科院分区:
数学1区
文献类型:
--
作者:
K. Ames;L. Payne

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Continuous dependence on modeling results are derived for an ill-posed problem describing penetrative convection in a porous medium. Using a logarithmic convexity argument, we show that solutions to the governing equations backward in time depend Holder continuously on changes in the form of the buoyancy law provided they satisfy certain constraints.