Abstract
Under certain conditions, the heat exchange between a fluid occupying a bounded open subset \(\varOmega \) of \({\mathbb {R}}^3\) with sufficiently regular boundary \(\partial \varOmega \), subdivided into three distinct parts, \(\varGamma _i\) (\(i=1,2,3\)), \(\partial \varOmega = \varGamma _1\cup \varGamma _2\cup \varGamma _3\), and the surrounding medium can be described by the following mathematical formulation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Reference
P.A. Raviart, J.M. Thomas, Introduction à l’analyse numérique des équations aux dérivées partielles, (Masson, 1988)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Chaskalovic, J. (2014). Variational Formulations of Problems with Elliptical Boundary Conditions. In: Mathematical and Numerical Methods for Partial Differential Equations. Mathematical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-03563-5_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-03563-5_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-03562-8
Online ISBN: 978-3-319-03563-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)