Journal article
The Qualitative Analysis of a Dynamical System Modeling the Information of Two-Layer Scales on Pure Metals
Proceedings of the American Mathematical Society, Vol.123(5), pp.1373-1378
05/01/1995
DOI: 10.1090/S0002-9939-1995-1264803-4
Abstract
F. Gesmundo and F. Viani have modeled the growth rates of two-oxide scales by the system: [formula omitted]. We provide a complete qualitative analysis of (1.1) by making use of known results about the general n-dimensional dynamical system: [formula omitted]. We show that for m > 1, the Gesmundo-Viani system admits a unique parabolic solution. [formula omitted]. This parabolic solution attracts all other solutions. Every solution extends uniquely to a solution on [0, +oo), such that the extended solution is eventually monotonically increasing. Finally, the trajectory of any solution coincides with a trajectory of the following linear system: [formula omitted]
Details
- Title: Subtitle
- The Qualitative Analysis of a Dynamical System Modeling the Information of Two-Layer Scales on Pure Metals
- Creators
- R. L. Baker - University of Iowa, Mathematics
- Resource Type
- Journal article
- Publication Details
- Proceedings of the American Mathematical Society, Vol.123(5), pp.1373-1378
- DOI
- 10.1090/S0002-9939-1995-1264803-4
- ISSN
- 0002-9939
- eISSN
- 1088-6826
- Publisher
- American Mathematical Society
- Number of pages
- 6
- Language
- English
- Date published
- 05/01/1995
- Academic Unit
- Mathematics
- Record Identifier
- 9983986093902771
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