Convection

  1. Hill, A. A & Carr, M. 2013 Stabilising solar ponds by utilising porous materials. Advances in Water Resources. 60, 1-6.
  2. Hill, A. A & Carr, M. 2013 The influence of a fluid-porous interface on solar pond stability. Advances in Water Resources. 52, 1-6.
  3. Hill, A. A & Carr, M. 2010 Nonlinear stability of the one-domain approach to modelling convection in superposed fluid and porous layers. Proc. R. Soc A. 466, 2695-2705.
  4. Hill, A. A & Carr, M. 2010 Sharp global nonlinear stability for a fluid overlying a highly porous material. Proc. R. Soc A. 466, 127-140.
  5. Hirata, S. C., Goyeau, B., Gobin, D., Carr, M., & Cotta, R. M. 2007 Linear stability of natural convection in superposed fluid and porous layers: influence of the interfacial modelling. Int. J. Heat and Mass Transfer. 50(7), 1356-1367.
  6. Carr, M. 2004 Penetrative convection in a superposed porous-medium-fluid layer via internal heating. J. Fluid Mech. 509, 305-329.
  7. Carr, M. 2003 Unconditional nonlinear stability for temperature dependent density flow in a porous medium. Math. Models. Methods. Appl Sci. 13 (2), 207-220.
  8. Carr, M. 2003 A model for convection in the evolution of under-ice melt ponds. Continuum Mech. Thermodyn. 15 (1), 45-54.
  9. Carr, M. & de Putter, S. 2003 Penetrative convection in a horizontally isotropic porous layer. Continuum Mech. Thermodyn. 15 (1), 33-43.
  10. Carr, M. & Straughan, B. 2003 Penetrative convection in a fluid overlying a porous layer. Advances in water resources. 26, 262-276.
  11. Carr, M. 2003 Covection in fluid and porous media. PhD thesis, University of Durham.
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