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 language||English (US)|
|Number of pages||14|
|Journal||Dynamic Systems and Applications|
|State||Published - Dec 1 2016|
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