Global strong pathwise well-posedness established for stochastically forced 2D incompressible Navier-Stokes coupled to 1D damped Kirchhoff plate via velocity continuity and stress balance on fixed interface.
Hopf, Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen,Math
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Establishes a finite-scale estimate for filtered vortex stretching in 3D Navier-Stokes bounded by vorticity direction defects, absorbed by filtered diffusion, with far-field and commutator terms controlled via Carleson embeddings and cylindrical Young measures.
Develops a recursive finite-window audit chain framework with anti-phantom certificates and propagation theorems for Navier-Stokes generated packages.
Proves a conditional finite-scale reduction theorem deriving a lower bound on the regularity radius from smallness of the vertical velocity component under multiple structural assumptions for 3D Navier-Stokes.
Proves a finite-chain CKN-bad scale counting theorem for 3D Navier-Stokes via standard PDE closure with one-component compactness and an amended canonical detector realization.
citing papers explorer
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Stochastically forced Navier-Stokes equations interacting with an elastic structure
Global strong pathwise well-posedness established for stochastically forced 2D incompressible Navier-Stokes coupled to 1D damped Kirchhoff plate via velocity continuity and stress balance on fixed interface.
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Filtered Vortex Stretching and Subgrid Defects for the Three-Dimensional Navier-Stokes Equations
Establishes a finite-scale estimate for filtered vortex stretching in 3D Navier-Stokes bounded by vorticity direction defects, absorbed by filtered diffusion, with far-field and commutator terms controlled via Carleson embeddings and cylindrical Young measures.
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Finite-Window Recursive Audit Chains for Navier-Stokes Generated Packages
Develops a recursive finite-window audit chain framework with anti-phantom certificates and propagation theorems for Navier-Stokes generated packages.
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Strict 2.5D Shadows for One-Component Navier-Stokes Regularity
Proves a conditional finite-scale reduction theorem deriving a lower bound on the regularity radius from smallness of the vertical velocity component under multiple structural assumptions for 3D Navier-Stokes.
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Finite-Chain CKN-Bad Scale Counting for Navier-Stokes: Standard PDE Closure and Canonical Detector Realization
Proves a finite-chain CKN-bad scale counting theorem for 3D Navier-Stokes via standard PDE closure with one-component compactness and an amended canonical detector realization.