Cahn-Hilliard systems with logarithmic chemical potentials coupled with damage processes and inhomogeneous elasticity

Christian Heinemann () and Christiane Kraus ()
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Christian Heinemann: Weierstrass Institute for Applied Analysis and Stochastics
Christiane Kraus: Weierstrass Institute for Applied Analysis and Stochastics

Chapter 5 in Phase Separation Coupled with Damage Processes, 2014, pp 91-117 from Springer

Abstract: 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 multi-component Cahn-Hilliard systems, inhomogeneous elastic energy densities, chemical potentials of polynomial or logarithmic type, 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.

Date: 2014
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DOI: 10.1007/978-3-658-05252-2_5

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