Intermittent convex integration for the 3D Euler equations
A new threshold for the existence of weak solutions to the incompressible Euler equationsTo gain insight into the nature of turbulent fluids, mathematicians start from experimental facts, translate them into mathematical properties for solutions of the fundamental fluids PDEs, and construct solution...
محفوظ في:
| المؤلفون الرئيسيون: | , , , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Princeton :
Princeton University Press
2023.
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| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès Université d'Orléans et IFPM Accès INSA CVL |
| ملاحظة: |
Couverture. https://static2.cyberlibris.com/books_upload/136pix/9780691249568.jpg Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Intermittent convex integration for the 3D Euler equations, Tristan Buckmaster, Nader Masmoudi, Matthew Novack, Vlad Vicol, 2023, Princeton, Princeton University Press, 1 volume (vi-246 pages), Annals of mathematics studies, 978-0-691-24955-1 |
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| 008 | 250428s2023 xxg ||| |||| 00| 0 eng d | ||
| 009 | PPN284523305 | ||
| 020 | |a 9780691249568 | ||
| 041 | 0 | |a eng | |
| 082 | |a 532/.050151864 | ||
| 100 | 1 | |a Buckmaster, Tristan, |d 1985- | |
| 245 | 1 | 0 | |a Intermittent convex integration for the 3D Euler equations |c Tristan Buckmaster, Nader Masmoudi, Matthew Novack, Vlad Vicol. |
| 260 | |a Princeton : |b Princeton University Press, |c 2023. | ||
| 500 | |a Couverture. https://static2.cyberlibris.com/books_upload/136pix/9780691249568.jpg | ||
| 500 | |a Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur | ||
| 500 | |a Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur | ||
| 504 | |a Bibliographie p. [239]-243. Index | ||
| 506 | |a L'accès en ligne est réservé aux établissements ou bibliothèques ayant souscrit l'abonnement. Cyberlibris | ||
| 520 | |a A new threshold for the existence of weak solutions to the incompressible Euler equationsTo gain insight into the nature of turbulent fluids, mathematicians start from experimental facts, translate them into mathematical properties for solutions of the fundamental fluids PDEs, and construct solutions to these PDEs that exhibit turbulent properties. This book belongs to such a program, one that has brought convex integration techniques into hydrodynamics. Convex integration techniques have been used to produce solutions with precise regularity, which are necessary for the resolution of the Onsager conjecture for the 3D Euler equations, or solutions with intermittency, which are necessary for the construction of dissipative weak solutions for the Navier-Stokes equations. In this book, weak solutions to the 3D Euler equations are constructed for the first time with both non-negligible regularity and intermittency. These solutions enjoy a spatial regularity index in L^2 that can be taken as close as desired to 1/2, thus lying at the threshold of all known convex integration methods. This property matches the measured intermittent nature of turbulent flows. The construction of such solutions requires technology specifically adapted to the inhomogeneities inherent in intermittent solutions. The main technical contribution of this book is to develop convex integration techniques at the local rather than global level. This localization procedure functions as an ad hoc wavelet decomposition of the solution, carrying information about position, amplitude, and frequency in both Lagrangian and Eulerian coordinates | ||
| 650 | |a Dynamique des fluides |x Mathématiques | ||
| 650 | |a Induction (mathématiques) | ||
| 650 | |a Équations différentielles non linéaires |x Solutions numériques | ||
| 700 | 1 | |a Masmoudi, Nader, |d 1974- |4 aut | |
| 700 | 1 | |a Vicol, Vlad, |d 1983- |4 aut | |
| 700 | 1 | |a Novack, Matthew, |d 1991- |4 aut | |
| 776 | 0 | |0 272283312 |t Intermittent convex integration for the 3D Euler equations |f Tristan Buckmaster, Nader Masmoudi, Matthew Novack, Vlad Vicol |d 2023 |c Princeton |n Princeton University Press |p 1 volume (vi-246 pages) |s Annals of mathematics studies |z 978-0-691-24955-1 | |
| 856 | 4 | |5 452349901:873404882 |u https://ezproxy.univ-orleans.fr/login?qurl=https://univ.scholarvox.com/book/88957143 |z Accès Université d'Orléans et IFPM | |
| 856 | 4 | |5 180339901:87359777X |u https://ezproxy.insa-cvl.fr/login?qurl=https://univ.scholarvox.com/book/88957143 |z Accès INSA CVL | |
| 997 | |0 1397538 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/ScholarVox (ebooks)/ |c 1/Bibliothèque numérique/ScholarVox (ebooks)/ | ||