Hausdorff measure of boundary singular points in the magnetohydrodynamic equations

Hi Jun Choe; Minsuk Yang

doi:10.1016/j.jde.2015.10.034

Hausdorff measure of boundary singular points in the magnetohydrodynamic equations

Hi Jun Choe, Minsuk Yang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We study boundary singular points of suitable weak solutions to the three dimensional incompressible magnetohydrodynamic equations. By using the generalised Hausdorff measure we estimate the size of boundary singular points and present the improved range of powers of logarithmic factors.

Original language	English
Pages (from-to)	3380-3396
Number of pages	17
Journal	Journal of Differential Equations
Volume	260
Issue number	4
DOIs	https://doi.org/10.1016/j.jde.2015.10.034
Publication status	Published - 2016

Bibliographical note

Funding Information:
The work was supported by NRF - 20151009350 .

Publisher Copyright:
© 2015 Elsevier Inc.

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jde.2015.10.034

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title = "Hausdorff measure of boundary singular points in the magnetohydrodynamic equations",

abstract = "We study boundary singular points of suitable weak solutions to the three dimensional incompressible magnetohydrodynamic equations. By using the generalised Hausdorff measure we estimate the size of boundary singular points and present the improved range of powers of logarithmic factors.",

author = "Choe, {Hi Jun} and Minsuk Yang",

note = "Funding Information: The work was supported by NRF - 20151009350 . Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2016",

doi = "10.1016/j.jde.2015.10.034",

language = "English",

volume = "260",

pages = "3380--3396",

journal = "Journal of Differential Equations",

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AU - Choe, Hi Jun

AU - Yang, Minsuk

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AB - We study boundary singular points of suitable weak solutions to the three dimensional incompressible magnetohydrodynamic equations. By using the generalised Hausdorff measure we estimate the size of boundary singular points and present the improved range of powers of logarithmic factors.

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DO - 10.1016/j.jde.2015.10.034

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EP - 3396

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 4

ER -

Hausdorff measure of boundary singular points in the magnetohydrodynamic equations

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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