Global existence of smooth solutions to the Navier-Stokes equations for initial data with infinite energy HVZW77G66Z
| URI | m2://res/HVZW77G66Z |
|---|---|
| Kind | preprint |
| Creators | Alexey Cheskidov, Hedong Hou |
| Date | 2026-10-13 |
| MSC | 35-XX |
| Subjects | arxiv math.AP |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-13 |
| Ids | arXiv 2610.18797, zbl_id 903211273 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| Characterization of initial data for weak solutions | statement | theorem 1.5 | arxiv |
| Decomposition of $S$ in $H^{1-s}$ | statement | lemma 3.2 | arxiv |
| Continuity | statement | proposition 1.8 | arxiv |
| Weak solutions | definition | definition 1.2 | arxiv |
| Linear estimates | statement | lemma 5.1 | arxiv |
| 81XXDKFCW7 | statement | theorem 1.1 | arxiv |
| Estimates on the cascade blocks | statement | proposition 2.2 | arxiv |
| Global existence of weak solutions | statement | theorem 1.3 | arxiv |
| Main construction | statement | proposition 3.1 | arxiv |
| Estimates on the blocks | statement | lemma 4.2 | arxiv |
| Approximate solution | statement | proposition 4.1 | arxiv |
| Choice of $\gamma$ and $\epsilon_k$ | statement | lemma 4.3 | arxiv |
| Decomposition of $S$ in $L^1$ | statement | lemma 3.4 | arxiv |
| Construction of $v$ | statement | lemma 4.4 | arxiv |
| N7C22FY8NH | statement | proposition 5.2 | arxiv |
| Sharpness in Besov and Triebel-Lizorkin spaces | statement | corollary 1.6 | arxiv |
| RA575N1356 | statement | corollary 4.5 | arxiv |
| Refined layer-cake decomposition | statement | lemma 3.6 | arxiv |
| Gauge function | definition | definition 3.3 | arxiv |
| Geometric lemma | statement | lemma 2.1 | arxiv |
Catalogue records
- arxiv: 2610.18797 (work)
- arxiv_text: 2610.18797 (work)
- zbmath_search: 903211273 (work)