Existence of Weak Solutions to the Equations of Natural Convection with Dissipative Heating

Joachim Naumann () and Jörg Wolf ()
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Joachim Naumann: Mathematical Institute, Humboldt University Berlin
Jörg Wolf: Mathematical Institute, Humboldt University Berlin

A chapter in Advances in Mathematical Fluid Mechanics, 2010, pp 367-384 from Springer

Abstract: Abstract In this paper, we prove the existence of a weak solution to a system of PDE’s which model the non-stationary motion of a heat-conducting incompressible viscous fluid including the effects of dissipative and adiabatic heating. Our method of proof consists in approximating these heat sources by bounded nonlinearities.

Keywords: Heat conducting fluid; Dissipative heating; Conservation of internal energy (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-04068-9_23

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DOI: 10.1007/978-3-642-04068-9_23

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