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Regularity Framework for Nonlinear Evolution Equations
Kim
Zenodo (CERN European Organization for Nuclear Research)1 Nov 2025Open access
NobleIDark:/48914/w1/20260521/93ED96D3DOI10.5281/zenodo.17504448
Regularity Framework for Nonlinear Evolution Equations
Kim · Zenodo (CERN European Organization for Nuclear Research) · 2025
NobleIDark:/48914/w1/20260521/93ED96D3DOI10.5281/zenodo.17504448
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Abstract
A novel framework couples evolution equations with auxiliary fields to analyze long-time behavior in 3D. Feedback mechanisms are used to establish global smooth solutions for nonlinear PDEs. The method applies to several systems and offers a new analytical perspective on regularity problems, including Navier–Stokes. Proofs and definitions are included. Followup paper to [https://zenodo.org/records/17504401 & https://zenodo.org/records/17504423 .