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On the blow-up criterion for the Hall-MHD problem with partial dissipation in R3

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Bibliographic Details
Main Author: Baoying, Du
Format: Book
Language:English
Published: Springer 2023
Subjects:
3D incompressible Hall-magnetohydrodynamics
data ∥V0∥H1+∥B0∥H2
Online Access:https://link.springer.com/article/10.1186/s13661-023-01723-4
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7473
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spelling 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
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score 8.891145

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