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Global low-energy weak solutions of the equations of 3D magnetohydrodynamics.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Global low-energy weak solutions of the equations of 3D magnetohydrodynamics./
作者:	Suen, Anthony Chun Kit.
面頁冊數:	1 online resource (73 pages)
附註:	Source: Dissertations Abstracts International, Volume: 73-12, Section: B.
Contained By:	Dissertations Abstracts International73-12B.
標題:	Applied mathematics. -
電子資源:	click for full text (PQDT)
ISBN:	9781267370235

Global low-energy weak solutions of the equations of 3D magnetohydrodynamics.
Suen, Anthony Chun Kit.

Global low-energy weak solutions of the equations of 3D magnetohydrodynamics. - 1 online resource (73 pages)

Source: Dissertations Abstracts International, Volume: 73-12, Section: B.

Thesis (Ph.D.)--Indiana University, 2012.

Includes bibliographical references

We prove the global-in-time existence of weak solutions of the equations of compressible magnetohydrodynamics (MHD) in three space dimensions with initial data small in L2 and initial density positive and essentially bounded. A great deal of information concerning partial regularity is obtained: velocity, vorticity, and magnetic field become relative smooth in positive time (H1 but not H2) and singularities in the pressure cancel those in a certain multiple of the divergence of the velocity, thus giving concrete expression to conclusions obtained formally from the Rankine-Hugoniot conditions.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2024

Mode of access: World Wide Web

ISBN: 9781267370235Subjects--Topical Terms:

1069907
Applied mathematics.
Subjects--Index Terms:

Equations of 3D magnetohydrodynamicsIndex Terms--Genre/Form:

554714
Electronic books.

Global low-energy weak solutions of the equations of 3D magnetohydrodynamics.
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500 $a Source: Dissertations Abstracts International, Volume: 73-12, Section: B.
500 $a Publisher info.: Dissertation/Thesis.
500 $a Advisor: Hoff, David.
502 $a Thesis (Ph.D.)--Indiana University, 2012.
504 $a Includes bibliographical references
520 $a We prove the global-in-time existence of weak solutions of the equations of compressible magnetohydrodynamics (MHD) in three space dimensions with initial data small in L2 and initial density positive and essentially bounded. A great deal of information concerning partial regularity is obtained: velocity, vorticity, and magnetic field become relative smooth in positive time (H1 but not H2) and singularities in the pressure cancel those in a certain multiple of the divergence of the velocity, thus giving concrete expression to conclusions obtained formally from the Rankine-Hugoniot conditions.
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538 $a Mode of access: World Wide Web
650 4 $a Applied mathematics. $3 1069907
650 4 $a Mathematics. $3 527692
653 $a Equations of 3D magnetohydrodynamics
653 $a Global energy solutions
653 $a Low-energy
653 $a Magnetohydrodynamics
655 7 $a Electronic books. $2 local $3 554714
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690 $a 0405
710 2 $a Indiana University. $b Mathematics. $3 1180679
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773 0 $t Dissertations Abstracts International $g 73-12B.
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