Global Well-Posedness and Persistence of H2 Regularity for the Three-Dimensional Primitive Equations with Horizontal and Topography-Adapted Thermal Diffusion NHW0VEJ09F
| URI | m2://res/NHW0VEJ09F |
|---|---|
| Kind | preprint |
| Creators | Qimin Wang, Mohammed Ziane |
| Date | 2026-10-10 |
| MSC | 35-XX |
| Subjects | arxiv math.AP |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-10 |
| Ids | arXiv 2610.14555 |
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 |
|---|---|---|---|
| Maximal existence time | definition | definition 2.2 | arxiv |
| 4BGFB4CKPB | statement | proposition 2.13 | arxiv |
| The linear temperature equation | statement | lemma 2.6 | arxiv |
| Anisotropic-to-isotropic Sobolev estimate | statement | lemma A.7 | arxiv |
| 50N1M9AMFJ | statement | theorem 2.12 | arxiv |
| 8AG2V700MW | statement | proposition B.1 | arxiv |
| Square-root Gronwall inequality | statement | lemma A.6 | arxiv |
| 8SRR4YKQJ5 | statement | lemma 2.5 | arxiv |
| A8P44TY1VW | statement | proposition B.2 | arxiv |
| B2DHCEHFXA | statement | proposition 3.6 | arxiv |
| Aubin--Lions lemma | statement | lemma A.3 | arxiv |
| ECYNGRBXT5 | statement | proposition 3.7 | arxiv |
| Vertical temperature regularity with a fixed horizontal weight | statement | lemma A.8 | arxiv |
| FZ0AQKVPG9 | statement | proposition 3.4 | arxiv |
| G24F5WXVPX | statement | lemma A.1 | arxiv |
| Strong solution | definition | definition 2.1 | arxiv |
| Variable-depth $H^2$ Stokes estimate | statement | lemma A.4 | arxiv |
| HYWG320M1R | statement | proposition 2.7 | arxiv |
| KB7KC0JJC6 | statement | proposition 3.10 | arxiv |
| Global strong solution | definition | definition 2.3 | arxiv |
| Higher spatial regularity of the velocity | statement | proposition 3.5 | arxiv |
| MFZPHA75EQ | statement | proposition B.3 | arxiv |
| NRBZ4M8SZ4 | statement | proposition 4.4 | arxiv |
| Strong convergence of the iteration | statement | proposition 2.11 | arxiv |
| QV51840RB9 | statement | theorem 2.4 | arxiv |
| RAK5KZXP6P | statement | proposition B.4 | arxiv |
| STMPHQMY0K | statement | proposition 2.8 | arxiv |
| Higher hydrostatic Stokes estimate at orthogonal junctions | statement | lemma A.5 | arxiv |
| WT8H5ZC910 | statement | theorem 3.1 | arxiv |
| XAG219CEBH | statement | lemma A.2 | arxiv |
| Varying bottom topography | statement | theorem 4.3 | arxiv |
| XRKYS4ZG10 | statement | proposition 3.3 | arxiv |
| Time regularity of the vertical temperature derivative | statement | proposition 3.8 | arxiv |
| Time regularity | statement | proposition 2.10 | arxiv |
| Uniqueness and continuous dependence | statement | proposition 2.14 | arxiv |
| YNJASKRTBR | statement | proposition 2.9 | arxiv |
| Weighted stability and uniqueness | statement | proposition 4.2 | arxiv |
Catalogue records
- arxiv: 2610.14555 (work)
- arxiv_text: 2610.14555 (work)