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999			_c386880 _d386880
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007			cr nn 008mamaa
008			220601s2019 sz | s |||| 0|eng d
020			_a9783031024153
024	7		_a10.1007/978-3-031-02415-3 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aQA374 _b2019 EB
100	1		_aRamm, A. G. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9686391 _q(Alexander G.)
245	1	0	_aSymmetry Problems : _bThe Navier-Stokes Problem _cby Alexander G. Ramm
250			_a1st edition 2019
264		1	_aCham _bSpringer International Publishing _c2019
300			_a1 recurso en línea (XIV, 71 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 -- Necessary and Sufficient Conditions for a Scatterer to be Spherically Symmetric -- Symmetry Problems for the Helmholtz Equation -- Other Symmetry Problems -- Solution to the Navier--Stokes Problem -- Inverse Problem of Potential Theory -- Bibliography -- Author's Biography.
520			_aThis book gives a necessary and sufficient condition in terms of the scattering amplitude for a scatterer to be spherically symmetric. By a scatterer we mean a potential or an obstacle. It also gives necessary and sufficient conditions for a domain to be a ball if an overdetermined boundary problem for the Helmholtz equation in this domain is solvable. This includes a proof of Schiffer's conjecture, the solution to the Pompeiu problem, and other symmetry problems for partial differential equations. It goes on to study some other symmetry problems related to the potential theory. Among these is the problem of "invisible obstacles." In Chapter 5, it provides a solution to the Navier‒Stokes problem in ℝ³. The author proves that this problem has a unique global solution if the data are smooth and decaying sufficiently fast. A new a priori estimate of the solution to the Navier‒Stokes problem is also included. Finally, it delivers a solution to inverse problem of the potential theory without the standard assumptions about star-shapeness of the homogeneous bodies.
988			_aSynthesis Collection of Technology_2019
650		7	_2embne _9673536 _aNavier-Stokes, Ecuaciones de
650		7	_2embne _9138249 _aDifusión
776	0	8	_iPrinted edition: _z9783031002618
776	0	8	_iPrinted edition: _z9783031012877
776	0	8	_iPrinted edition: _z9783031035432
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-02415-3 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b01/2023 _dz _esc _zSI