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diffusion 1energy-dissipation principle 1gradient flows 1kinetic relations 1multiscale limits 1transmission conditions 1

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math.AP2026

From diffusion to transmission via EDP-convergence: a paradigmatic multiscale limit

Thomas Frenzel, Alexander Mielke

The paper analyzes how nonlinear diffusion equations with a highly localized diffusion coefficient converge, in the energy‑dissipation principle sense, to a transmission condition…