A data-driven variational discretization of Onsager's principle learns uncertain free-energy and dissipation functionals from observations while guaranteeing provable energy stability for arbitrarily long simulations.
A review on the Cahn-Hilliard equation: classical results and recent advances in dynamic boundary conditions
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Establishes ε^{1/2} quantitative homogenization and corrector estimates for a fourth-order Cahn-Hilliard equation with source in periodically perforated domains via unfolding method.
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Flexible and Stable Dynamics Discovery with Onsager's Variational Principle
A data-driven variational discretization of Onsager's principle learns uncertain free-energy and dissipation functionals from observations while guaranteeing provable energy stability for arbitrarily long simulations.
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Quantitative Homogenization of a Cahn--Hilliard System with Source Term in Periodically Perforated Domains
Establishes ε^{1/2} quantitative homogenization and corrector estimates for a fourth-order Cahn-Hilliard equation with source in periodically perforated domains via unfolding method.