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Nearly explicit solutions and uniqueness for the fluid flow and heat transfer in porous media with temperature-dependent viscosity

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Publication:361106
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DOI10.1007/s00021-009-0011-4zbMath1270.76079OpenAlexW2014806422MaRDI QIDQ361106

Giovanni Cimatti

Publication date: 28 August 2013

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-009-0011-4


zbMATH Keywords

existenceuniquenessporous mediatemperature-dependent viscosity


Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05)




Cites Work

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  • A new approach to nonlinear \(L^{2}\)-stability of double diffusive convection in porous media: necessary and sufficient conditions for global stability via a linearization principle
  • Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions
  • Transport of heat and mass in a fluid with vanishing mobility
  • Convection in thawing subsea permafrost
  • Structural stability for the Darcy equations of flow in porous media
  • Sharp global nonlinear stability for temperature-dependent viscosity convection
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