國立虎尾科技大學 |

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

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Global low-energy weak solutions of the equations of 3D magnetohydrodynamics./
Author:	Suen, Anthony Chun Kit.
Description:	1 online resource (73 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 73-12, Section: B.
Contained By:	Dissertations Abstracts International73-12B.
Subject:	Mathematics. -
Online resource:	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:

527692
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.
LDR:02026ntm a22003977 4500 001 1152959
005 20241216064807.5
006 m o d
007 cr mn ---uuuuu
008 250605s2012 xx obm 000 0 eng d
020 $a 9781267370235
035 $a (MiAaPQ)AAI3509947
035 $a (MiAaPQ)indiana:11652
035 $a AAI3509947
040 $a MiAaPQ $b eng $c MiAaPQ $d NTU
100 1 $a Suen, Anthony Chun Kit. $3 1480084
245 1 0 $a Global low-energy weak solutions of the equations of 3D magnetohydrodynamics.
264 0 $c 2012
300 $a 1 online resource (73 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
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.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2024
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
650 4 $a Applied mathematics. $3 1069907
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
690 $a 0364
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Indiana University. $b Mathematics. $3 1180679
773 0 $t Dissertations Abstracts International $g 73-12B.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3509947 $z click for full text (PQDT)