Behavior of free boundaries of blow-up solutions to one-phase stefan problems

DOI10.1016/0362-546X(94)00311-5zbMath0859.35141MaRDI QIDQ4861587

Toyohiko Aiki

Publication date: 15 April 1997

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

zbMATH Keywords

Stefan problemsingular solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items (8)

Decay of global solutions, stability and blowup for a reaction-diffusion problem with free boundary ⋮ A nonlinear Stefan problem with variable exponent and different moving parameters ⋮ Well-posedness of one-phase Stefan problems for sublinear heat equations ⋮ Stability of global solutions to one-phase Stefan problem for a semilinear parabolic equation ⋮ A note on the behavior of blow-up solutions for one-phase Stefan problems ⋮ Global existence of solutions to one-phase Stefan problems for semilinear parabolic equations ⋮ A numerical method to compute the dissolution of second phases in ternary alloys ⋮ Blow-up and asymptotic behavior of solutions for reaction-diffusion equations with free boundaries

Cites Work

• Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions
• Existence and nonexistence of global solutions for nonlinear parabolic equations
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