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Mathematical analysis of selected problems from fluid thermomechanics


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  • Product Description

A complete study of heat conducting viscous flows presents several nonlinearities: the convections, the Joule effect and energy dependent conductivity and viscosities. Adopting the general thermodynamics process, the constitutive relations for the Cauchy stress tensor and the heat flux are nonlinear with p and q coercivity parameters, respectively, when non- Newtonian fluids are taken care of. We investigate what we call the (p-q) coupled fluid-energy system. We deal with the initial and boundary value problems of (p-q) coupled fluid-energy systems under Dirichlet-Newton boundary conditions as well as nonstandard boundary conditions capturing the frictional phenomena and convective/radiative heat transfer behavior on a part of the boundary. The resolution of the proposed coupled systems employs several distinct methods of nonlinear functional analysis: classical theory on calculus of variations; duality theory on convex analysis; Faedo- Galerkin method; Moreau-Yosida regularization argument; compactness and monotonicity methods; L1- theory on PDE due to the existence of the Joule effect; and fixed point arguments for multivalued mappings.

Product Specifications
SKU :COC101299
AuthorLuisa Consiglieri
Number of Pages188
Publishing Year2011-03-07T00:00:00.000
Edition1 st
Book TypeThermodynamics & heat
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-08-18 00:00:00
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