Stability bounds in a problem of convection with uniform internal heat source

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dc.creatorDragomirescu, Ioana
dc.creatorGeorgescu, Adelina
dc.date2006-09-19
dc.date.accessioned2026-07-07T07:24:21Z
dc.date.available2026-07-07T07:24:21Z
dc.descriptionMotion in the atmosphere or mantle convection are two among phenomena of natural convection induced by internal heat sources. They bifurcate from the conduction state as a result of its loss of stability. In spite of their importance, due to the occurrence of variable coefficients in the nonlinear partial differential equations governing the evolution of the perturbations around the basic equilibrium, so far these phenomena were treated mostly numerically and experimentally. No rigorous study is known. In this paper we realize for the first time such a linear study for the eigenvalue problem associated with those equations for a convection problem with an uniform internal heat source in a horizontal fluid layer bounded by two rigid walls. Our method uses Fourier series expansions for the unknown functions. Numerical results and graphs are given showing a destabilizing effect of the presence of the heat source.
dc.description7 pages, 2 fidures, 1 table, presented at ICNPAA, Budapest, June 21-23, 2006
dc.identifierhttps://arxiv.org/abs/math-ph/0609054
dc.identifierhttp://arxiv.org/abs/math-ph/0609054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116318
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject76E06, 65L60
dc.titleStability bounds in a problem of convection with uniform internal heat source
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