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 :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2019
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2019.1.32 |
| Online Access: | http://acta.bibl.u-szeged.hu/62110 |
| LEADER | 01177nas a2200205 i 4500 | ||
|---|---|---|---|
| 001 | acta62110 | ||
| 005 | 20260224081030.0 | ||
| 008 | 190927s2019 hu o 000 eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2019.1.32 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Kim Jae-Myoung | |
| 245 | 1 | 0 | |a Remark on local boundary regularity condition of a suitable weak solution to the 3D MHD equations |h [elektronikus dokumentum] / |c Kim Jae-Myoung |
| 260 | |c 2019 | ||
| 300 | |a 1-11 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 695 | |a Differenciálegyenlet | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/62110/1/ejqtde_2019_032.pdf |z Dokumentum-elérés |