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Title:
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Further mathematical results concerning Burgers fluids and their generalizations
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Author:
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Quintanilla de Latorre, Ramón; Rajagopal, Kumbakonam
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
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Abstract:
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In this paper, we extend the earlier work by Quintanilla and Rajagopal (Math Methods Appl Sci 29: 2133–2147,
2006) and establish qualitative new results for a proper generalization of Burgers’ original work that stems form a general
thermodynamic framework. Such fluids have been used to describe the behavior of several geological materials such as
asphalt and the earth’s mantle as well as polymeric fluids. We study questions concerning stability, uniqueness and continuous
dependence on initial data for the solutions of the flows of these fluids. We show that if certain conditions are not
satisfied by the material moduli, the solutions could be unstable. The spatial behavior of the solutions is also analyzed. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials
-Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
-Fluid mechanics
-Differential equations, Partial
-Equacions en derivades parcials
-Mecànica de fluids
-Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems
-Classificació AMS::76 Fluid mechanics::76A Foundations, constitutive equations, rheolog |
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Rights:
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Document type:
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Article - Published version
Article |
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