Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity

@inproceedings{Payne1999ContinuousDA,
  title={Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity},
  author={Lawrence E. Payne and J. C. Song and Brian Straughan},
  year={1999}
}
The equations for convective fluid motion in a porous medium of Brinkman or Forchheimer type are analysed when the viscosity varies with either temperature or a salt concentration. Mundane situations such as salinization require models which incorporate strong viscosity variation. Therefore, we establish rigorous a priori bounds with coefficients which depend only on boundary data, initial data and the geometry of the problem and which demonstrate continuous dependence of the solution on… CONTINUE READING

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