000			04328cam a2200649Ma 4500
001			ocn968415598
003			OCoLC
005			20220908100117.0
006			m o d
007			cr |n|||||||||
008			170113s2017 xx o 000 0 eng d
040			_aIDEBK _beng _epn _cIDEBK _dJSTOR _dIDEBK _dYDX _dN$T _dOCLCQ _dEBLCP _dOCLCQ _dDEBBG _dLGG _dDEGRU _dUAB _dUKOUP _dOCLCQ _dDEHBZ _dNRC _dLEAUB _dUKAHL _dOCLCQ _dCUS _dIEEEE _dOCLCO
019			_a979595921 _a992933348
020			_a1400885426 _q(electronic bk.)
020			_a9781400885428 _q(electronic bk.)
024	7		_a10.1515/9781400885428 _2doi
029	1		_aGBVCP _b882892584
035			_a(OCoLC)968415598 _z(OCoLC)979595921 _z(OCoLC)992933348
037			_a985558 _bMIL
037			_a22573/ctt1h180j7 _bJSTOR
037			_a9452463 _bIEEE
050		4	_aQA911 _b.I84 2017eb
072		7	_aTEC _x014000 _2bisacsh
082	0	4	_a532.1 _223
049			_aMAIN
100	1		_aIsett, Philip. _964819
245	1	0	_aHolder continuous Euler flows in three dimensions with compact support in time / _cPhilip Isett.
260			_bPrinceton University Press, _c2017.
300			_a1 online resource
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aAnnals of Mathematics Studies ; _vnumber 196
520			_aMotivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the incompressible Euler equations might fail to conserve energy if their spatial regularity was below 1/3-H�older. In this book, Philip Isett uses the method of convex integration to achieve the best-known results regarding nonuniqueness of solutions and Onsager's conjecture. Focusing on the intuition behind the method, the ideas introduced now play a pivotal role in the ongoing study of weak solutions to fluid dynamics equations. The construction itself--an intricate algorithm with hidden symmetries--mixes together transport equations, algebra, the method of nonstationary phase, underdetermined partial differential equations (PDEs), and specially designed high-frequency waves built using nonlinear phase functions. The powerful "Main Lemma"--Used here to construct nonzero solutions with compact support in time and to prove nonuniqueness of solutions to the initial value problem--has been extended to a broad range of applications that are surveyed in the appendix. Appropriate for students and researchers studying nonlinear PDEs, this book aims to be as robust as possible and pinpoints the main difficulties that presently stand in the way of a full solution to Onsager's conjecture.
588	0		_aPrint version record.
505	0	0	_tFrontmatter -- _tContents -- _tPreface -- _tPart I. Introduction -- _tPart II. General Considerations of the Scheme -- _tPart III. Basic Construction of the Correction -- _tPart IV. Obtaining Solutions from the Construction -- _tPart V. Construction of Regular Weak Solutions: Preliminaries -- _tPart VI Construction of Regular Weak Solutions: Estimating the Correction -- _tPart VII. Construction of Regular Weak Solutions: Estimating the New Stress -- _tAcknowledgments -- _tAppendices -- _tReferences -- _tIndex
546			_aIn English.
590			_aIEEE _bIEEE Xplore Princeton University Press eBooks Library
650		0	_aFluid dynamics _xMathematics. _914386
650		6	_aDynamique des fluides _xMath�ematiques. _964820
650		7	_aTECHNOLOGY & ENGINEERING _xHydraulics. _2bisacsh _96220
650		7	_aFluid dynamics _xMathematics. _2fast _0(OCoLC)fst00927983 _914386
655		4	_aElectronic books. _93294
776	0	8	_iPrint version: _nDruck-Ausgabe _z9781400885428
830		0	_aAnnals of mathematics studies ; _vno. 196. _964821
856	4	0	_uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=9452463
938			_aAskews and Holts Library Services _bASKH _nAH32254904
938			_aDe Gruyter _bDEGR _n9781400885428
938			_aProQuest Ebook Central _bEBLB _nEBL4854432
938			_aEBSCOhost _bEBSC _n1431856
938			_aProQuest MyiLibrary Digital eBook Collection _bIDEB _ncis37319926
938			_aOxford University Press USA _bOUPR _nEDZ0001756493
938			_aYBP Library Services _bYANK _n13277879
942			_cEBK
994			_a92 _bINTKS
999			_c81354 _d81354