An extension of Gronwall inequality in the theory of bodies with voids
Abstract: In this paper, we obtain a generalization of the Gronwall’s inequality to cover the study of porous elastic media considering their internal state variables. Based on some estimations obtained in three auxiliary results, we use this form of the Gronwall’s inequality to prove the uniqueness of solution for the mixed initial-boundary value problem considered in this context. Thus, we can conclude that even if we take into account the internal variables, this fact does not affect the uniqueness result regarding the solution of the mixed initial-boundary value problem in this context.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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An extension of Gronwall inequality in the theory of bodies with voids ; volume:18 ; number:1 ; year:2020 ; pages:1161-1167 ; extent:7
Open physics ; 18, Heft 1 (2020), 1161-1167 (gesamt 7)
- Creator
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Marin, Marin
Ailawalia, Praveen
Tuns, Ioan
- DOI
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10.1515/phys-2020-0225
- URN
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urn:nbn:de:101:1-2024022313372454269363
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:46 AM CEST
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Associated
- Marin, Marin
- Ailawalia, Praveen
- Tuns, Ioan
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