NOTES THE EXISTENCE OF MULTIPLE STEADY STATES IN THE FLOW OF LARGE

ABSTRACT. We discuss the possibility of the occurrence of thermal instability in ice sheets and glaciers. This may arise from the non-linear viscous heating term, which could provide for the existence of multiple steady states in the flow and temperature fields: a word of warning is given about the...

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Main Authors: Ice Masses, A. C. Fowler
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
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Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.190.7738
http://www.maths.ox.ac.uk/%7Efowler/papers/1980.1.pdf
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Summary:ABSTRACT. We discuss the possibility of the occurrence of thermal instability in ice sheets and glaciers. This may arise from the non-linear viscous heating term, which could provide for the existence of multiple steady states in the flow and temperature fields: a word of warning is given about the applicability of these ideas. RESUME. L'existence de multiples etats d'equilibre dans l'eeoulement des grandes masses de glace. Nous discutons la possibilite que se produise une instabilite thermique dans les calottes glaciaires et les glaciers. Ceci peut provenir du terme non lineaire exprimant la viscosite thermique, qui peut entrainer l'existence de plusieurs etats d'equilibre dans l'ecoulement et les flux de chaleur: un mot d'avertissement est donne sur les perspectives d'application de ces idees. ZUSAMMENFASSUNG. Die Existenz mehrerer stationarer Zustande im Fluss grosser Eismassen. Es wird die Moglichkeit des Auftretens thermischer InstabiliUit in Eisschilden und Gletschern untersucht; eine solche konnte aus dem Ausdruck fur die nicht-lineare viskose Erwarmung hergeleitet werden, mit dem sich die Existenz mehrerer stationarer Zustande in den Fliess- und Temperaturfeldern begrunden liesse. Gegenuber der Anwendbarkeit solcher Ideen scheint jedoch Skepsis angebracht. ROBIN (1955) was the first to propose the possibility that thermal instability could provide a trigger