Abstract
In this lecture we talk mainly about the study of the Stefan problem in China, old and new. Several results on the existence in global, the uniqueness, the continuous dependence, the regularity, the asymptotic behavior as t → ∞, the numerical analysis and the ordering principle of the solution of the two-phase Stefan problem are talked, but almost all of these results were obtained in the sixties. Finally, we say a few words about the stationary water cone problem, a fixed point theorem of a set-valued mapping was used here to prove the existence of W2,2 solution.
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Jiang, Ls. (1982). Free Boundary Problems in China. In: Albrecht, J., Collatz, L., Hoffmann, KH. (eds) Numerical Treatment of Free Boundary Value Problems / Numerische Behandlung freier Randwertaufgaben. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 58. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6563-0_13
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DOI: https://doi.org/10.1007/978-3-0348-6563-0_13
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