Navier–Stokes Global Regularity
Closure mechanism controlling high-frequency surplus yields regularity and boundedness in 3D Navier–Stokes.
Supporting Papers
Closure and Regularity in Partial Differential Equations I: From High-Frequency Surplus to Regularity in 3D Navier–Stokes
<p>This paper establishes a fully analytic mechanism converting a strict high-frequency dissipation surplus into classic
Closure and Regularity in Partial Differential Equations II: Inviscid Closure and Anomalous Dissipation in the Euler Equations
<p>This paper analyzes the three-dimensional incompressible Euler equations from the perspective of high-frequency closu
Closure and Regularity in Partial Differential Equations III: Continuity of Closure in the Vanishing Viscosity Limit
<p>This paper resolves the interface problem between viscous and inviscid closure mechanisms by establishing a precise n
Closure and Regularity in Partial Differential Equations IV: Shock Formation, Dissipation, and Closure in Compressible Flow
<p>This paper extends the closure framework developed in the earlier papers of the series to the barotropic compressible
Closure and Regularity in Partial Differential Equations V: A Universality Test of the Strict Margin Closure Mechanism
<p>This paper provides a universality test for the closure mechanism developed in the series <em>Closure and Regularity
Closure and Regularity in Partial Differential Equations VI: Failure Modes and Obstructions to Analytic Closure
<p>This paper completes the program developed in the series <em>Closure and Regularity in Partial Differential Equations
Normalization, Persistence, and Closure in Navier–Stokes Theory: A Packet-Level Translation of PDE Dynamics into a Law-Level Framework
<p>This paper presents a detailed structural analysis of the three-dimensional incompressible Navier–Stokes equati