Abstract
This paper is concerned with a two-phase Stefan problem, with time-dependent flux conditions of Signorini type on the fixed boundaries, in one dimensional space. Our main interest is the investigation of the periodic or almost periodic behavior of solutions with respect to time. We shall show that a periodic (resp. almost periodic) solution is unique and every solution asymptotically converges to it, provided that the flux conditions of Signorini type, given on the fixed boundaries, are periodic (resp. almost periodic) with respect to time.
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© 1987 Springer Basel AG
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Kenmochi, N. (1987). Asymptotic Stability of Solutions to a Two-Phase Stefan Problem with Nonlinear Boundary Condition of Signorini Type. In: Hoffmann, KH., Krabs, W. (eds) Optimal Control of Partial Differential Equations II: Theory and Applications. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 78. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7627-8_9
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DOI: https://doi.org/10.1007/978-3-0348-7627-8_9
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