Abstract
We saw in the last section that one could obtain considerable information about the time-dependent behavior of the diffusion equation. In particular, one could obtain the exact solution from any initial state as long as the distribution stayed away from the boundary y = 0, but one could also see qualititatively what effect the boundary has. Yet the equilibrium solution as described in section 5 is quite complex. We will not rederive here the equilibrium properties already analyzed in section 5, but we will try to identify the source of the complication.
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© 1984 Springer-Verlag Berlin Heidelberg
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Newell, G.F. (1984). Equilibrium properties of the diffusion equation. In: The M/M/∞Service System with Ranked Servers in Heavy Traffic. Lecture Notes in Economics and Mathematical Systems, vol 231. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45576-6_8
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DOI: https://doi.org/10.1007/978-3-642-45576-6_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13377-3
Online ISBN: 978-3-642-45576-6
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