Rarefactions and large time behavior for parabolic equations and monotone schemes |
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| Authors: | Eduard Harabetian |
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| Institution: | (1) Department of Mathematics, Stanford University, 94305 Stanford, CA, USA;(2) Present address: Department of Mathematics, The University of Michigan, 48109-1003 Ann Arbor, Michigan, USA |
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| Abstract: | We consider the large time behavior of monotone semigroups associated with degenerate parabolic equations and monotone difference schemes. For an appropriate class of initial data the solution is shown to converge to rarefaction waves at a determined asymptotic rate.Supported by NSF Postdoctoral Fellowship Grant No. DMS 85-11476 This research was supported in part by the Institute for Math and its Applications with funds provided by the National Science Foundation |
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