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| Hlavní autor: | |
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| Médium: | Recurso digital |
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Zenodo
2025
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| Témata: | |
| On-line přístup: | https://doi.org/10.5281/zenodo.17602256 |
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- <p>We consolidate six papers by the author into a self-contained program on the 3D incompressible Navier-Stokes equations. <br>Each part contributes a structural component that, taken together, closes a critical regularity mechanism and eliminates the minimal blow-up scenario. <br>Part I establishes Fourier cone-localized bounds for the Leray trilinear form, capturing anisotropic interactions at small angular apertures. <br>Part II proves a global angular-concentration flux inequality, controlling the transfer of kinetic energy through angularly concentrated packets. <br>Part III develops plate-localized angle depletion and a dyadic $2^{2j}$ scaling scheme, exhibiting quantitative depletion in near-coplanar interactions. <br>Part IV introduces a flux-dissipation decomposition that rigidifies inter-shell transfers and imposes a structural ban on adjacent-shell cascades. <br>Part V builds a critical-space minimal program, combining split absorption with conditional rigidity to preclude energy accumulation compatible with scaling. <br>Finally, Part VI implements hybrid angular splitting and frequency evacuation to derive band-local budget smallness for minimal critical configurations and to contradict the minimal blow-up scenario.</p>