The Stefan problem with convection and Joule's heating

zbMath1023.35528MaRDI QIDQ1408619

Xiangsheng Xu, Meir Shillor

Publication date: 25 September 2003

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Stefan problemcapacity solutioncoupled, degenerate, strongly nonlinear systemevolutionary thermistor problemspot welding problem

Mathematics Subject Classification ID

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Evolutionary Boussinesq model with nonmonotone friction and heat flux boundary conditions ⋮ Dynamic thermoviscoelastic thermistor problem with contact and nonmonotone friction ⋮ The Stefan problem in a thermomechanical context with fracture and fluid flow ⋮ A one-dimensional spot welding model ⋮ Existence of a solution for a thermoelectric model with several phase changes and a Carathéodory thermal conductivity ⋮ Existence for the thermoviscoelastic thermistor problem ⋮ Existence for a model arising from the in situ vitrification process ⋮ Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations and Schauder's estimates for a degenerate parabolic problem with dynamic boundary conditions

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