Local and nonlocal boundary quenching in a subdiffusive medium

C. M. Kirk, W Edward Olmstead

Research output: Contribution to journalArticlepeer-review

Abstract

A mathematical model for boundary quenching in a subdiffusive medium is analyzed. The quenching effect is simulated by a nonlinear flux condition at the left boundary of a onedimensional bar. The nonlinearity is allowed to depend upon either the local temperature of the boundary or a global average of temperature. The right boundary of the bar is subjected to either an insulation condition or a zero temperature condition. A separate analysis is carried out for an extension of the model that includes the influence of advection.

Original languageEnglish (US)
Pages (from-to)479-492
Number of pages14
JournalDynamic Systems and Applications
Volume25
Issue number4
StatePublished - Dec 1 2016

ASJC Scopus subject areas

  • Mathematics(all)

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