Eleuteri, Michela and Krejčí, Pavel (2006) Asymptotic convergence results for a system of partial differential equations with hysteresis. UNSPECIFIED. (Unpublished)
Abstract
A partial differential equation motivated by electromagnetic field equations in ferromagnetic media is considered with a relaxed rate dependent constitutive relation. It is shown that the solutions converge to the unique solution of the limit parabolic problem with a rate independent Preisach hysteresis constitutive operator as the relaxation parameter tends to zero.
| Item Type: | Departmental Technical Report |
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| Department or Research center: | Mathematics |
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| Subjects: | Q Science > QA Mathematics > QA374.7 Partial differential equations |
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| Uncontrolled Keywords: | partial differential equations, hysteresis, asymptotic convergence, Preisach operator |
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| Additional Information: | Classification: 35K55, 47J40, 35B40. |
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| Report Number: | UTM 702, October 2006 |
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| Repository staff approval on: | 20 Oct 2006 |
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