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008			220601s2021 sz | o |||| 0|eng d
020			_a9783031024313
024	7		_a10.1007/978-3-031-02431-3 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aQA911 _b2021 EB
100	1		_aRamm, A. G. _q(Alexander G.) _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9686391
245	1	4	_aThe Navier-Stokes Problem _cby Alexander G. Ramm
250			_a1st edition 2021
264		1	_aCham _bSpringer International Publishing _c2021
300			_a1 recurso en línea (XV, 61 páginas)
336			_atexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
347			_aarchivo de texto _bPDF
490	0		_aSynthesis Lectures on Mathematics & Statistics _x1938-1751
505	0		_aPreface -- Introduction -- Brief History of the Navier-Stokes Problem -- Statement of the Navier-Stokes Problem -- Theory of Some Hyper-Singular Integral Equations -- A Priori Estimates of the Solution to the NSP -- Uniqueness of the Solution to the NSP -- The Paradox and its Consequences -- Logical Analysis of Our Proof -- Appendix 1 - Theory of Distributions and Hyper-Singular Integrals -- Appendix 2 - Gamma and Beta Functions -- Appendix 3 - The Laplace Transform -- Bibliography -- Author's Biography.
520			_aThe main result of this book is a proof of the contradictory nature of the Navier-Stokes problem (NSP). It is proved that the NSP is physically wrong, and the solution to the NSP does not exist on R+ (except for the case when the initial velocity and the exterior force are both equal to zero; in this case, the solution v(x,t) to the NSP exists for all t [greater than or equal to] 0 and v(x,t) = 0). It is shown that if the initial data v0(x) [does not equal] 0, f(x,t) = 0 and the solution to the NSP exists for all t [epsilon] R+, then v0(x) := v(x,0) = 0. This Paradox proves that the NSP is physically incorrect and mathematically unsolvable, in general. Uniqueness of the solution to the NSP in the space W21(R3) x C(R+) is proved, W21(R3) is the Sobolev space, R+ = [0,[infinity]). Theory of integral equations and inequalities with hyper-singular kernels is developed. The NSP is reduced to an integral inequality with a hyper-singular kernel.
988			_aSynthesis Collection of Technology_2021
650		7	_2embne _9413085 _aDinámica de fluidos
776	0	8	_iPrinted edition: _z9783031002779
776	0	8	_iPrinted edition: _z9783031013034
776	0	8	_iPrinted edition: _z9783031035593
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-02431-3 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b02/2023 _dz _eb _zSI