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Heat-Conducting Incompressible Viscous Fluids
1995The motion of a heat-conducting incompressible viscous fluid is governed by the following set of equations (e.g., Serrin, 1959; Truesdell and Noll, 1965): $$ \begin{gathered} \nabla \cdot \upsilon = 0, \hfill \\ \rho \left( {{{\partial }_{t}}\upsilon + (\upsilon \cdot \nabla )\upsilon } \right) = - \nabla p + \nabla \cdot S + \rho b, \hfill \\ \rho
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On the stationary flows of viscous, incompressible and heat‐conducting fluids
Mathematical Methods in the Applied Sciences, 1988AbstractWe consider a boundary‐value problem describing the motion of viscous, incompressible and heat‐conducting fluids in a bounded domain in ℝ3. We admit non‐homogeneous boundary conditions, the appearance of exterior forces and heat sources.Our aim is to prove the existence of a solution of the problem in Sobolev spaces.
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Global Existence of Heat-Conductive Incompressible Viscous Fluids
Acta Applicandae Mathematicae, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotics of Motions of Viscous Incompressible Fluids with Large Viscosity
Journal of Mathematical Sciences, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Computational aspects of a viscous incompressible fluid
2005The main conclusions in relation to the numerical aspects can be summarized as follows: In general stable solutions for higher Reynolds numbers can only be reached with non-centred differences for the approximation of the convective terms and with smoothing techniques (compound iteration). Furthermore this fact is true for explicit schemes and implicit
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Equations of Motion for Incompressible Viscous Fluids
2021Tujin Kim, Daomin Cao
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