HO-FNO extends standard FNO with n-linear spectral mixing and shows improved accuracy on nonlinear PDE benchmarks, sometimes with a single layer beating deeper FNO models.
Miranville,The Cahn–Hilliard Equation: Recent Advances and Applications, CBMS- NSF Regional Conference Series in Applied Mathematics, vol
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The authors prove a maximum principle for positivity and domain invariance plus local asymptotic stability via relative energy for a class of nonlinear coupled thermo-reaction-phase parabolic systems.
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Maximum principle and local stability for a class of coupled nonlinear thermo--reaction--phase systems
The authors prove a maximum principle for positivity and domain invariance plus local asymptotic stability via relative energy for a class of nonlinear coupled thermo-reaction-phase parabolic systems.