Mathematical aspects of penetrative convection
著者
書誌事項
Mathematical aspects of penetrative convection
（Pitman research notes in mathematics series, 288）
Longman Scientific & Technical , Wiley & Sons, 1993
- タイトル別名
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Penetrative convection
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内容説明・目次
内容説明
Penetrative convection is an important physical topic undergoing study. This book addresses two important angles. That related to improperly posed problems in penetrative convection and that related to nonlinear stability. The book assumes a knowledge of theoretical fluid dynamics, and a good knowledge of calculus (final year undergradute, postgraduate). It is aimed at mathematicians, astrophysicists, geophysicists and engineers.
目次
- Introduction
- continuous dependence on the heat supply and body force
- continuous dependence on the heat supply with a nonlinear equation of state
- continuous dependence on the heat source (and body force) for solutions to the equations of flow through porous media
- continuous dependence results for equations involving thermal and salt fields
- continuous dependence and uniqueness on an unbounded spatial domain
- existence theory or power series solutions to convection models capable of describing penetrative convection
- penetrative convection driven by internal heat generation
- penetrative convection near the density maximum
- time dependent modal analyses in penetrative convection
- boundary layer similarity analyses in penetrative convection
- penetrative convection in an anisotropic porous medium.
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