Higher-order non-local Cahn-Hilliard functionals with oscillating modulation in one dimension Gamma-converge to sharp-interface limits in three regimes determined by the oscillation-to-interface scale ratio.
The gradient theory of phase transitions for systems with two potential wells
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The paper is a memorial tribute collecting reminiscences of Robert V. Kohn's exemplary life and contributions to mathematics.
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Homogenization in one-dimensional higher-order non-local models of phase transitions
Higher-order non-local Cahn-Hilliard functionals with oscillating modulation in one dimension Gamma-converge to sharp-interface limits in three regimes determined by the oscillation-to-interface scale ratio.