000 02886nam a22004815i 4500
001 978-3-540-44427-5
003 DE-He213
005 20190213151654.0
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 _aTA357-359
072 7 _aTGMF
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTGMF
_2thema
082 0 4 _a620.1064
_223
100 1 _aRůžička, Michael.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aElectrorheological Fluids: Modeling and Mathematical Theory
_h[electronic resource] /
_cby Michael Růžička.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_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 _aHydraulic engineering.
650 0 _aDifferential equations, partial.
650 1 4 _aEngineering Fluid Dynamics.
_0http://scigraph.springernature.com/things/product-market-codes/T15044
650 2 4 _aFluid- and Aerodynamics.
_0http://scigraph.springernature.com/things/product-market-codes/P21026
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662191309
776 0 8 _iPrinted edition:
_z9783540413851
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1748
856 4 0 _uhttps://doi.org/10.1007/BFb0104029
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11490
_d11490