Three-dimensional conduction-convection problems with change of phase

DOI10.1007/BF00695273zbMath0802.76084OpenAlexW2076157110MaRDI QIDQ687184

Juan-Miguel Gracia

Publication date: 17 October 1993

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00695273

zbMATH Keywords

weak solvabilityHausdorff dimensionStefan conditionsingular setpenalisationStokes-Boussinesq model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Free convection (76R10)

Related Items

Qualitative Behaviour of Incompressible Two-Phase Flows with Phase Transitions: The Case of Non-Equal Densities, On well-posedness of incompressible two-phase flows with phase transitions: the case of non-equal densities, An analytical and numerical study of the Stefan problem with convection by means of an enthalpy method, Lipschitz continuity of free boundary in the continuous casting problem with divergence form elliptic equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the interior regularity of weak solutions of the Navier-Stokes equations
• Conduction-convection problems with change of phase
• Natural convection in steady solidification: Finite element analysis of a two-phase Rayleigh-Bénard problem
• A steady-state Boussinesq-Stefan problem with continuous extraction
• The steady state Stefan problem with convection
• Continuity of weak solutions to certain singular parabolic equations
• Concentrated and rarified sets of points
• The bidmensional stefan problem with convection: the time dependent case
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• On the steady-state continuous casting Stefan problem with nonlinear cooling