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- W2777647563 abstract "We study a non-local version of the Cahn-Hilliard dynamics for phase separation in a two-component incompressible and immiscible mixture with linear mobilities. In difference to the celebrated local model with nonlinear mobility, it is only assumed that the divergences of the two fluxes --- but not necessarily the fluxes themselves --- annihilate each other. Our main result is a rigorous proof of existence of weak solutions. The starting point is the formal representation of the dynamics as a constrained gradient flow in the Wasserstein metric. We then show that time-discrete approximations by means of the incremental minimizing movement scheme converge to a weak solution in the limit. Further, we compare the non-local model to the classical Cahn-Hilliard model in numerical experiments. Our results illustrate the significant speed-up in the decay of the free energy due to the higher degree of freedom for the velocity fields." @default.
- W2777647563 created "2018-01-05" @default.
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- W2777647563 date "2017-12-18" @default.
- W2777647563 modified "2023-09-27" @default.
- W2777647563 title "A two-phase two-fluxes degenerate Cahn-Hilliard model as constrained Wasserstein gradient flow" @default.
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