Bruè, Elia and Colombo, Maria and Crippa, Gianluca and De Lellis, Camillo and Sorella, Massimo. (2023) Onsager critical solutions of the forced Navier-Stokes equations. Preprints Fachbereich Mathematik, 2023 (01).
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Abstract
We answer positively to [BDL22, Question 2.4] by building new examples of solutions to the forced 3d-Navier-Stokes equations with vanishing viscosity, which exhibit anomalous dissipation and which enjoy uniform bounds in the space $L_t^3 C_x^{1/3 - \varepsilon}$, for any fixed $\varepsilon >0$. Our construction combines ideas of [BDL22] and [CCS22].
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Analysis (Crippa) 12 Special Collections > Preprints Fachbereich Mathematik |
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| UniBasel Contributors: | Crippa, Gianluca |
| Item Type: | Preprint |
| Publisher: | Universität Basel |
| Language: | English |
| edoc DOI: | |
| Last Modified: | 13 Apr 2023 08:38 |
| Deposited On: | 13 Apr 2023 08:38 |
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