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001 sulb-eb0025775
003 BD-SySUS
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008 121206s2013 gw | s |||| 0|eng d
020 _a9783658010522
_9978-3-658-01052-2
024 7 _a10.1007/978-3-658-01052-2
_2doi
050 4 _aQA431
072 7 _aPBKL
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.45
_223
100 1 _aKöhne, Matthias.
_eauthor.
245 1 0 _aLp-Theory for Incompressible Newtonian Flows
_h[electronic resource] :
_bEnergy Preserving Boundary Conditions, Weakly Singular Domains /
_cby Matthias Köhne.
264 1 _aWiesbaden :
_bSpringer Fachmedien Wiesbaden :
_bImprint: Springer Spektrum,
_c2013.
300 _aXI, 183 p. 2 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aNavier-Stokes Equations -- Energy Preserving Boundary Condition -- Weakly Singular Domain -- Maximal Lp-Regularity.
520 _aThis thesis is devoted to the study of the basic equations of fluid dynamics. First Matthias Köhne focuses on the derivation of a class of boundary conditions, which is based on energy estimates, and, thus, leads to physically relevant conditions. The derived class thereby contains many prominent artificial boundary conditions, which have proved to be suitable for direct numerical simulations involving artificial boundaries. The second part is devoted to the development of a complete Lp-theory for the resulting initial boundary value problems in bounded smooth domains, i.e. the Navier-Stokes equations complemented by one of the derived energy preserving boundary conditions. Finally, the third part of this thesis focuses on the corresponding theory for bounded, non-smooth domains, where the boundary of the domain is allowed to contain a finite number of edges, provided the smooth components of the boundary that meet at such an edge are locally orthogonal. Contents ·         Navier-Stokes Equations ·         Energy Preserving Boundary Condition ·         Weakly Singular Domain ·         Maximal Lp-Regularity Target Groups ·         Scientists, lecturers and graduate students in the fields of mathematical fluid dynamics and partial differential equations as well as experts in applied analysis. The author Matthias Köhne earned a doctorate of Mathematics under the supervision of Prof. Dr. Dieter Bothe at the Department of Mathematics at TU Darmstadt, where his research was supported by the cluster of excellence ''Center of Smart Interfaces'' and the international research training group ''Mathematical Fluid Dynamics''.
650 0 _aMathematics.
650 0 _aIntegral equations.
650 1 4 _aMathematics.
650 2 4 _aIntegral Equations.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783658010515
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-658-01052-2
912 _aZDB-2-SMA
942 _2Dewey Decimal Classification
_ceBooks
999 _c47867
_d47867