On the blow-up criterion for the Hall-MHD problem with partial dissipation in R3
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1186/s13661-023-01723-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7473 |
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oai:localhost:PNK-74732023-04-04T03:10:09Z On the blow-up criterion for the Hall-MHD problem with partial dissipation in R3 Baoying, Du 3D incompressible Hall-magnetohydrodynamics data ∥V0∥H1+∥B0∥H2 CC BY In this paper, we investigate the 3D incompressible Hall-magnetohydrodynamics with partial dissipation. Based on the results in (Du in Bound. Value Probl. 2022:6, 2022; Du and Liu in Acta Math. Sci. 42A:5, 2022; Fei and Xiang in J. Math. Phys. 56:051504, 2015), we establish an improved blow-up criterion for classical solutions. Furthermore, using the blow-up criterion, we also obtain the existence of the classical solutions only under the condition that the initial data ∥V0∥H1+∥B0∥H2 are sufficiently small.1 Introduction 2023-04-04T03:10:09Z 2023-04-04T03:10:09Z 2023 Book https://link.springer.com/article/10.1186/s13661-023-01723-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7473 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
3D incompressible Hall-magnetohydrodynamics data ∥V0∥H1+∥B0∥H2 |
| spellingShingle |
3D incompressible Hall-magnetohydrodynamics data ∥V0∥H1+∥B0∥H2 Baoying, Du On the blow-up criterion for the Hall-MHD problem with partial dissipation in R3 |
| description |
CC BY |
| format |
Book |
| author |
Baoying, Du |
| author_facet |
Baoying, Du |
| author_sort |
Baoying, Du |
| title |
On the blow-up criterion for the Hall-MHD problem with partial dissipation in R3 |
| title_short |
On the blow-up criterion for the Hall-MHD problem with partial dissipation in R3 |
| title_full |
On the blow-up criterion for the Hall-MHD problem with partial dissipation in R3 |
| title_fullStr |
On the blow-up criterion for the Hall-MHD problem with partial dissipation in R3 |
| title_full_unstemmed |
On the blow-up criterion for the Hall-MHD problem with partial dissipation in R3 |
| title_sort |
on the blow-up criterion for the hall-mhd problem with partial dissipation in r3 |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1186/s13661-023-01723-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7473 |
| _version_ |
1762274897833230336 |
| score |
8.893527 |