Remark on local boundary regularity condition of a suitable weak solution to the 3D MHD equations
We study a local regularity condition for a suitable weak solution of the magnetohydrodynamics equations in a half space R3 +. More precisely, we prove that a suitable weak solution is Hölder continuous near boundary provided that the quantity lim sup r→0 1 r kukL 2(B x,r) L∞(t−r 2,t) is sufficientl...
Elmentve itt :
| Szerző: | |
|---|---|
| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2019
|
| Sorozat: | Electronic journal of qualitative theory of differential equations
|
| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2019.1.32 |
| Online Access: | http://acta.bibl.u-szeged.hu/62110 |
| Tartalmi kivonat: | We study a local regularity condition for a suitable weak solution of the magnetohydrodynamics equations in a half space R3 +. More precisely, we prove that a suitable weak solution is Hölder continuous near boundary provided that the quantity lim sup r→0 1 r kukL 2(B x,r) L∞(t−r 2,t) is sufficiently small near the boundary. Furthermore, we briefly add some global regularity criteria of weak solutions to this system. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 1-11 |
| ISSN: | 1417-3875 |