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• W2964067050 abstract "We prove existence and regularity for the solutions to a Cahn–Hilliard system describing the phenomenon of phase separation for a material contained in a bounded and regular domain. Since the first equation of the system is perturbed by the presence of an additional maximal monotone operator, we show our results using suitable regularization of the nonlinearities of the problem and performing some a priori estimates which allow us to pass to the limit thanks to compactness and monotonicity arguments. Next, under further assumptions, we deduce a continuous dependence estimate whence the uniqueness property is also achieved. Then, we consider the related sliding mode control (SMC) problem and show that the chosen SMC law forces a suitable linear combination of the temperature and the phase to reach a given (space-dependent) value within finite time." @default.
• W2964067050 created "2019-07-30" @default.
• W2964067050 creator A5013961370 @default.
• W2964067050 date "2017-04-18" @default.
• W2964067050 modified "2023-10-05" @default.
• W2964067050 title "On a Class of Conserved Phase Field Systems with a Maximal Monotone Perturbation" @default.
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• W2964067050 doi "https://doi.org/10.1007/s00245-017-9415-3" @default.
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