Finite amplitude thermal convection with variable gravity.
Riahi, D.N., Hsui, Albert T. (2001)
International Journal of Mathematics and Mathematical Sciences
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Riahi, D.N., Hsui, Albert T. (2001)
International Journal of Mathematics and Mathematical Sciences
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Chen, Cha'O-Kuang, Lai, Dong-Yu (2010)
Mathematical Problems in Engineering
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Lorna Richardson, Brian Straughan (1993)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We establish a nonlinear energy stability theory for the problem of convection in a porous medium when the viscosity depends on the temperature. This is, in fact, the situation which is true in real life and has many applications to geophysics. The nonlinear analysis presented here would appear to require the presence of a Brinkman term in the momentum equation, rather than just the normal form of Darcy's law.
Shateyi, Stanford, Sibanda, Precious, Motsa, Sandile S. (2008)
Journal of Applied Mathematics
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Sharma, R.C., Thakur, K.P. (1982)
International Journal of Mathematics and Mathematical Sciences
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Kumar, Pardeep, Mohan, Hari, Lal, Roshan (2006)
International Journal of Mathematics and Mathematical Sciences
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F. Capone (2001)
Bollettino dell'Unione Matematica Italiana
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Si considera l'insorgere della convezione naturale in un mezzo poroso (Horton-Rogers-Lapwood problem), assumendo che la viscosità del fluido dipenda dalla temperatura. Adoperando il metodo diretto di Liapunov, si effettua l'analisi della stabilitá non lineare della soluzione di conduzione per i modelli di Darcy e di Forchheimer.
Mebine, Promise, Gumus, Rhoda H. (2010)
International Journal of Mathematics and Mathematical Sciences
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El-Naby, M. A. Abd, Elbarbary, Elsayed M. E., Abdelazem, Nader Y. (2003)
Journal of Applied Mathematics
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