Existence for a problem in ground freezing

DOI10.1016/0362-546X(85)90078-1zbMath0592.76131MaRDI QIDQ3722140

Charles M. Elliott, Emmanuele DiBenedetto

Publication date: 1985

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

fixed point theoremfree boundaryexistence theoremsteady-stateproblemground freezinggroundwater flowsconvection-conduction equationHölder continuity theoremsphase transition in porous mediavertical freeze pipe

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Free convection (76R10)

Related Items

Conduction-convection problems with change of phase ⋮ On a free boundary problem in ground freezing

Cites Work

• The steady state Stefan problem with convection
• Linear and quasilinear elliptic equations
• The bidmensional stefan problem with convection: the time dependent case
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