Global Regularity of the Navier–Stokes Equations with Memory and Stochastic Fluctuations
Fuente:
Zenodo
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Recurso digital |
| Publié: |
Zenodo
2025
|
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866901742439890944 |
|---|---|
| author | Gutierrez Ule, David |
| author_facet | Gutierrez Ule, David |
| contents | <p># Global Regularity of the Navier–Stokes Equations with Memory and Stochastic Fluctuations</p> <p>**Author:** David Gutiérrez <br>**Date:** April 26, 2025 <br>**Contact:** david.gutierrezule@gmail.com</p> <p>## Abstract<br>This work extends the classical theory of the Navier–Stokes equations by incorporating memory effects and stochastic fluctuations arising from microscopic physical phenomena. <br>We rigorously establish the global existence and uniqueness of strong solutions for three-dimensional incompressible fluid flows within the GBHS functional framework. <br>Energy estimates, stochastic stability analysis, and computational simulations validate the theoretical findings and demonstrate the stabilizing role of memory and noise. <br>Our results offer a new perspective on the millennium open problem regarding fluid singularities.</p> <p>## Keywords<br>- Navier–Stokes equations<br>- Memory effects<br>- Stochastic processes<br>- Global regularity<br>- Mori–Zwanzig formalism<br>- GBHS functional spaces</p> <p>## License<br>Creative Commons Attribution 4.0 International (CC-BY 4.0)</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15286438 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Global Regularity of the Navier–Stokes Equations with Memory and Stochastic Fluctuations Gutierrez Ule, David <p># Global Regularity of the Navier–Stokes Equations with Memory and Stochastic Fluctuations</p> <p>**Author:** David Gutiérrez <br>**Date:** April 26, 2025 <br>**Contact:** david.gutierrezule@gmail.com</p> <p>## Abstract<br>This work extends the classical theory of the Navier–Stokes equations by incorporating memory effects and stochastic fluctuations arising from microscopic physical phenomena. <br>We rigorously establish the global existence and uniqueness of strong solutions for three-dimensional incompressible fluid flows within the GBHS functional framework. <br>Energy estimates, stochastic stability analysis, and computational simulations validate the theoretical findings and demonstrate the stabilizing role of memory and noise. <br>Our results offer a new perspective on the millennium open problem regarding fluid singularities.</p> <p>## Keywords<br>- Navier–Stokes equations<br>- Memory effects<br>- Stochastic processes<br>- Global regularity<br>- Mori–Zwanzig formalism<br>- GBHS functional spaces</p> <p>## License<br>Creative Commons Attribution 4.0 International (CC-BY 4.0)</p> |
| title | Global Regularity of the Navier–Stokes Equations with Memory and Stochastic Fluctuations |
| url | https://doi.org/10.5281/zenodo.15286438 |