Autoregulated Impulse Point Heating of a Finite Medium |
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Authors: | A D Myshkis |
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Institution: | (1) Moscow State University of Railway Transport (MIIT), Moscow, Russia |
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Abstract: | We consider a finite heat conducting medium whose boundary is maintained at zero temperature and, moreover, to which the same amount of heat is supplied at a certain point at the instant when the temperature at this point decreases to a given level. Up to an arbitrary shift in time, we prove the existence and uniqueness of a periodic regime with a unique heat pulse during each period. We present an efficient algorithm for constructing this regime if the medium is either an n-dimensional ball heated at the center or an interval heated at an arbitrary point. |
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Keywords: | heat conducting medium autoregulated impulsive point heating asymptotically stable simple periodic regime boundary-value problem Bessel function |
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