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On the degenerate Cahn–Hilliard equation: Global existence and entropy estimates of weak solutions
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In this paper, we consider a class of the degenerate Cahn–Hilliard equation with a smooth double-well potential. By applying a semi-discretization technique and asymptotic analysis method on non-degenerate Cahn–Hilliard equation, we obtain the existence and regularity of weak solutions to the Cahn–Hilliard equation with degenerate mobility. Moreover, we define a new entropy and obtain the global entropy estimates.
Title: On the degenerate Cahn–Hilliard equation: Global existence and entropy estimates of weak solutions
Description:
In this paper, we consider a class of the degenerate Cahn–Hilliard equation with a smooth double-well potential.
By applying a semi-discretization technique and asymptotic analysis method on non-degenerate Cahn–Hilliard equation, we obtain the existence and regularity of weak solutions to the Cahn–Hilliard equation with degenerate mobility.
Moreover, we define a new entropy and obtain the global entropy estimates.
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