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On Dispersive Effects In Inviscid Fl...

Widmayer, Klaus.

On Dispersive Effects In Inviscid Fluids And Non-Uniqueness Of Weak Wave Maps.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	On Dispersive Effects In Inviscid Fluids And Non-Uniqueness Of Weak Wave Maps./
作者:	Widmayer, Klaus.
面頁冊數:	1 online resource (190 pages)
附註:	Source: Dissertation Abstracts International, Volume: 78-01(E), Section: B.
Contained By:	Dissertation Abstracts International78-01B(E).
標題:	Mathematics. -
電子資源:	click for full text (PQDT)
ISBN:	9781339950471

On Dispersive Effects In Inviscid Fluids And Non-Uniqueness Of Weak Wave Maps.
Widmayer, Klaus.

On Dispersive Effects In Inviscid Fluids And Non-Uniqueness Of Weak Wave Maps. - 1 online resource (190 pages)

Source: Dissertation Abstracts International, Volume: 78-01(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

This work is devoted to the study of some aspects of the well-posedness theory of evolution differential equations in mathematical physics.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781339950471Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

On Dispersive Effects In Inviscid Fluids And Non-Uniqueness Of Weak Wave Maps.
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100 1 $a Widmayer, Klaus. $3 1180486
245 1 0 $a On Dispersive Effects In Inviscid Fluids And Non-Uniqueness Of Weak Wave Maps.
264 0 $c 2016
300 $a 1 online resource (190 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: Dissertation Abstracts International, Volume: 78-01(E), Section: B.
500 $a Adviser: Pierre Germain.
502 $a Thesis (Ph.D.) $c New York University $d 2016.
504 $a Includes bibliographical references
520 $a This work is devoted to the study of some aspects of the well-posedness theory of evolution differential equations in mathematical physics.
520 $a In Part I we explore the effects of dispersion in incompressible, inviscid fluids in a variety of settings. In the absence of the strongly regularizing mechanism of viscosity, even in only two spatial dimensions effects such as the rotation of the earth or unidirectional gravitational forces are not understood well. For these we bring to light a mechanism that disperses waves, i.e. we show that in such systems waves or disturbances at different frequencies travel at distinct speeds, often also in different directions. On the one hand, this allows us to improve the well-posedness theory of a wide range of problems. In some scenarios this yields a theory that holds on a very large timespan. On the other hand, it may also resolve questions regarding the qualitative behavior of more complicated systems, where effects other than the dispersion play a dominant role.
520 $a In Part II we study the well-posedness theory of the so-called wave maps equation, which arises in quantum physics. The corresponding energy conservation law suggests a natural mathematical framework. For this problem, however, we show that in the physically relevant setting this consideration does not provide a satisfactory theory: For a given initial setup, the time evolution is not unique.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
650 4 $a Theoretical mathematics. $3 1180455
650 4 $a Theoretical physics. $3 1180318
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
690 $a 0642
690 $a 0753
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a New York University. $b Mathematics. $3 1180487
773 0 $t Dissertation Abstracts International $g 78-01B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10139562 $z click for full text (PQDT)

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