Short-time well-posedness is shown for the Cahn-Hilliard-Biot system both with and without a Kelvin-Voigt viscoelastic term via maximal regularity and fixed-point arguments.
Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations , Applied Mathematical Sciences, Springer New York, 2012
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Local Well-Posedness of the Cahn-Hilliard-Biot System
Short-time well-posedness is shown for the Cahn-Hilliard-Biot system both with and without a Kelvin-Voigt viscoelastic term via maximal regularity and fixed-point arguments.