Weak solution of non-Newtonian polytropic variational inequality in fresh agricultural product supply chain problem
Abstract: In this article, we study a class of variational inequality problems with non-Newtonian polytropic parabolic operators. We introduce a mapping with an adjustable parameter to control the polytropic term, which exactly meets the conditions of Leray-Schauder fixed point theory. At the same time, we construct a penalty function to transform the variational inequality into a regular parabolic initial boundary value problem. Thus, the existence is treated with a Leray-Schauder fixed point theory as well as a suitable version of Aubin-Lions lemma. Then, the uniqueness and stability of the solution are analyzed.
- 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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Weak solution of non-Newtonian polytropic variational inequality in fresh agricultural product supply chain problem ; volume:21 ; number:1 ; year:2023 ; extent:12
Open mathematics ; 21, Heft 1 (2023) (gesamt 12)
- Creator
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Wu, Tao
- DOI
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10.1515/math-2022-0590
- URN
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urn:nbn:de:101:1-2023062614052732949415
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:54 AM CEST
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Associated
- Wu, Tao
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