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001 978-3-540-44427-5
003 DE-He213
005 20160624101819.0
007 cr nn 008mamaa
008 121227s2000 gw | s |||| 0|eng d
020 _a9783540444275
_9978-3-540-44427-5
024 7 _a10.1007/BFb0104029
_2doi
050 4 _aQC138-168.86
050 4 _aQA930
072 7 _aPHDF
_2bicssc
072 7 _aSCI085000
_2bisacsh
072 7 _aSCI084000
_2bisacsh
082 0 4 _a532
_223
082 0 4 _a533.62
_223
100 1 _aRůžička, Michael.
_eauthor.
245 1 0 _aElectrorheological Fluids: Modeling and Mathematical Theory
_h[electronic resource] /
_cby Michael Růžička.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2000.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2000.
300 _aXIV, 178 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1748
520 _aThis is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account the complex interactions between the electromagnetic fields and the moving liquid. Several constitutive relations for the Cauchy stress tensor are discussed. The main part of the book is devoted to a mathematical investigation of a model possessing shear-dependent viscosities, proving the existence and uniqueness of weak and strong solutions for the steady and the unsteady case. The PDS systems investigated possess so-called non-standard growth conditions. Existence results for elliptic systems with non-standard growth conditions and with a nontrivial nonlinear r.h.s. and the first ever results for parabolic systems with a non-standard growth conditions are given for the first time. Written for advanced graduate students, as well as for researchers in the field, the discussion of both the modeling and the mathematics is self-contained.
650 0 _aPhysics.
650 0 _aDifferential equations, partial.
650 0 _aFluids.
650 0 _aHydraulic engineering.
650 1 4 _aPhysics.
650 2 4 _aFluids.
650 2 4 _aPartial Differential Equations.
650 2 4 _aEngineering Fluid Dynamics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540413851
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1748
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0104029
942 _2EBK1249
_cEBK
999 _c30543
_d30543