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The qualitative analysis of a dynamical system modeling the formation of two-layer scales on pure metals

1995
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Proceedings of the American Mathematical Society
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F. Gesmundo and F. Viani have modeled the growth rates of twooxide scales by the system: We provide a complete qualitative analysis of (1.1) by making use of known results about the general «-dimensional dynamical system: We show that for m > 1 , the Gesmundo-Viani system admits a unique parabolic solution qi(t) = c¡yft, c, > 0. This parabolic solution attracts all other solutions. Every solution extends uniquely to a solution on [0, +oo), such that the extended solution is eventually

doi:10.1090/s0002-9939-1995-1264803-4
fatcat:hdwqfmnvwrhzdl6iigjsu2avfm