Nonlinear systems arising from nonisothermal, non-Newtonian Hele-Shaw flows in the presence of body forces and sources.
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Publication:1410993
DOI10.1016/S0895-7177(02)00094-8zbMath1077.76515OpenAlexW2021940380MaRDI QIDQ1410993
Publication date: 15 October 2003
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0895-7177(02)00094-8
Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Other free boundary flows; Hele-Shaw flows (76D27)
Related Items (10)
Existence of weak solutions for a nonlinear elliptic system ⋮ On the non-isothermal, non-Newtonian Hele-Shaw flows in a domain with rough boundary ⋮ On a non-isothermal, non-Newtonian lubrication problem with Tresca law: existence and the behavior of weak solutions ⋮ Mixed discontinuous Galerkin analysis of thermally nonlinear coupled problem ⋮ Non-isothermal, non-Newtonian Hele-Shaw flows within Cattaneo's heat flux law ⋮ On an asymptotic expansion for Carreau fluids in porous media ⋮ Thermally coupled quasi-Newtonian flows: Analysis and computation ⋮ Compression molding. II: Existence of the solution for a Hele-Shaw type model ⋮ Nonexistence of solutions to Hele-Shaw equations ⋮ Finite element analysis of thermally coupled nonlinear Darcy flows
Cites Work
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- Compact sets in the space \(L^ p(0,T;B)\)
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
- Nonisothermal, nonNewtonian hele-shaw flows, Part II: Asymptotics and existence of weak solutions
- Slow Viscoelastic Flow at Large Distance From an Axis of Symmetry
- Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
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