Abstract
The existence results for weak solutions from Chapter 4 are generalized to a broader class of coupled PDE systems in this chapter. More specifically, we will be able to treat
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multi-component Cahn-Hilliard systems,
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inhomogeneous elastic energy densities,
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chemical potentials of polynomial or logarithmic type,
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quadratic gradient term of the damage variable in the energy, i.e., p= 2 in (1.3).
Additionally, we show that the results also apply to elastic Allen-Cahn systems coupled with damage processes. This case is even easier to treat.
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© 2014 Springer Fachmedien Wiesbaden
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Heinemann, C., Kraus, C. (2014). Cahn-Hilliard systems with logarithmic chemical potentials coupled with damage processes and inhomogeneous elasticity. In: Phase Separation Coupled with Damage Processes. Springer Spektrum, Wiesbaden. https://doi.org/10.1007/978-3-658-05252-2_5
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DOI: https://doi.org/10.1007/978-3-658-05252-2_5
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Publisher Name: Springer Spektrum, Wiesbaden
Print ISBN: 978-3-658-05251-5
Online ISBN: 978-3-658-05252-2
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