Abstract
We discuss a new type of phase-field models applicable to processes of nonlinear diffusion with phase change. The models are set up as systems consisting of a quasilinear parabolic partial differential equation and a parabolic variational inequality, governing the temperature distribution u(t,x) and an order parameter w(t,x). We give some results on the global existence, uniqueness and asymptotic behavior of the solution {u,w} as t → ∞.
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© 1992 Springer Basel AG
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Kenmochi, N., Niezgodka, M. (1992). System of Variational Inequalities Arising in Nonlinear Diffusion with Phase Change. In: Antontsev, S.N., Khludnev, A.M., Hoffmann, KH. (eds) Free Boundary Problems in Continuum Mechanics. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 106. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8627-7_17
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DOI: https://doi.org/10.1007/978-3-0348-8627-7_17
Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-8627-7
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