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001 978-3-642-21137-9
003 DE-He213
005 20190213151655.0
007 cr nn 008mamaa
008 110728s2011 gw | s |||| 0|eng d
020 _a9783642211379
_9978-3-642-21137-9
024 7 _a10.1007/978-3-642-21137-9
_2doi
050 4 _aT57-57.97
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPBW
_2thema
082 0 4 _a519
_223
100 1 _aPadula, Mariarosaria.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aAsymptotic Stability of Steady Compressible Fluids
_h[electronic resource] /
_cby Mariarosaria Padula.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aXIV, 235 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 ;
_v2024
505 0 _a1 Topics in Fluid Mechanics -- 2 Topics in Stability -- 3 Barotropic Fluids with Rigid Boundary -- 4 Isothermal Fluids with Free Boundaries -- 5 Polytropic Fluids with Rigid Boundary.
520 _aThis volume introduces a systematic approach to the solution of some mathematical problems that arise in the study of the hyperbolic-parabolic systems of equations that govern the motions of thermodynamic fluids. It is intended for a wide audience of theoretical and applied mathematicians with an interest in compressible flow, capillarity theory, and control theory. The focus is particularly on recent results concerning nonlinear asymptotic stability, which are independent of assumptions about the smallness of the initial data. Of particular interest is the loss of control that sometimes results when steady flows of compressible fluids are upset by large disturbances. The main ideas are illustrated in the context of three different physical problems: (i) A barotropic viscous gas in a fixed domain with compact boundary. The domain may be either an exterior domain or a bounded domain, and the boundary may be either impermeable or porous. (ii) An isothermal viscous gas in a domain with free boundaries. (iii) A heat-conducting, viscous polytropic gas.
650 0 _aMathematics.
650 0 _aDifferential equations, partial.
650 0 _aMathematical physics.
650 0 _aMechanics, applied.
650 1 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
650 2 4 _aMathematical Modeling and Industrial Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M14068
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aFluid- and Aerodynamics.
_0http://scigraph.springernature.com/things/product-market-codes/P21026
650 2 4 _aTheoretical and Applied Mechanics.
_0http://scigraph.springernature.com/things/product-market-codes/T15001
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642211362
776 0 8 _iPrinted edition:
_z9783642211386
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2024
856 4 0 _uhttps://doi.org/10.1007/978-3-642-21137-9
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c11495
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