Fourth Order Diffusion Equations with Increasing Entropy
In: Entropy, Jg. 14 (2012), Heft 7, S. 1127-1139
Online
academicJournal
Zugriff:
The general quasi-linear autonomous fourth order diffusion equation ut = −[G(u)uxxx + h(u, ux, uxx)]x with positive variable diffusivity G(u) and lower-order flux component h is considered on the real line. A direct algorithm produces a general class of equations for which the Shannon entropy density obeys a reaction-diffusion equation with a positive irreducible source term. Such equations may have any positive twice-differentiable diffusivity function G(u). The forms of such equations are the indicators of more general conservation equations whose entropy equation may be expressed in an alternative reaction-diffusion form whose source term, although reducible, is positive.
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Fourth Order Diffusion Equations with Increasing Entropy
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Autor/in / Beteiligte Person: | Broadbridge, Philip ; Tehseen, Naghmana |
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Zeitschrift: | Entropy, Jg. 14 (2012), Heft 7, S. 1127-1139 |
Veröffentlichung: | MDPI AG, 2012 |
Medientyp: | academicJournal |
ISSN: | 1099-4300 (print) |
DOI: | 10.3390/e14071127 |
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