000 | 03240nam a22004217a 4500 | ||
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001 | sulb-eb0025775 | ||
003 | BD-SySUS | ||
005 | 20160413122544.0 | ||
007 | cr nn 008mamaa | ||
008 | 121206s2013 gw | s |||| 0|eng d | ||
020 |
_a9783658010522 _9978-3-658-01052-2 |
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024 | 7 |
_a10.1007/978-3-658-01052-2 _2doi |
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050 | 4 | _aQA431 | |
072 | 7 |
_aPBKL _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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082 | 0 | 4 |
_a515.45 _223 |
100 | 1 |
_aKöhne, Matthias. _eauthor. |
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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. |
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300 |
_aXI, 183 p. 2 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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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 |
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999 |
_c47867 _d47867 |