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024 7 $a10.1007/978-3-642-21137-9
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035   $a(DE-He213)978-3-642-21137-9
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100   $a20110728d2011      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aAsymptotic Stability of Steady Compressible Fluids$b[electronic resource] /$fby Mariarosaria Padula
205   $a1st ed. 2011.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2011.
215   $a1 online resource (XIV, 235 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2024
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-642-21136-4 
320   $aIncludes bibliographical references and index.
327   $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.
330   $aThis volume introduces a systematic approach to the solution of some mathematical problems that arise in the study of the hyperbolic-parabolic systems of equations that govern the motions of thermodynamic fluids. It is intended for a wide audience of theoretical and applied mathematicians with an interest in compressible flow, capillarity theory, and control theory. The focus is particularly on recent results concerning nonlinear asymptotic stability, which are independent of assumptions about the smallness of the initial data. Of particular interest is the loss of control that sometimes results when steady flows of compressible fluids are upset by large disturbances. The main ideas are illustrated in the context of three different physical problems: (i) A barotropic viscous gas in a fixed domain with compact boundary. The domain may be either an exterior domain or a bounded domain, and the boundary may be either impermeable or porous. (ii) An isothermal viscous gas in a domain with free boundaries. (iii) A heat-conducting, viscous polytropic gas.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2024
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aMathematical models
606   $aPartial differential equations
606   $aPhysics
606   $aFluids
606   $aMechanics
606   $aMechanics, Applied
606   $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003
606   $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026
606   $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615  0$aMathematical models.
615  0$aPartial differential equations.
615  0$aPhysics.
615  0$aFluids.
615  0$aMechanics.
615  0$aMechanics, Applied.
615 14$aApplications of Mathematics.
615 24$aMathematical Modeling and Industrial Mathematics.
615 24$aPartial Differential Equations.
615 24$aMathematical Methods in Physics.
615 24$aFluid- and Aerodynamics.
615 24$aTheoretical and Applied Mechanics.
676   $a620.1/0640151
700   $aPadula$b Mariarosaria$4aut$4http://id.loc.gov/vocabulary/relators/aut$0478955
906   $aBOOK
912   $a996466628803316
996   $aAsymptotic stability of steady compressible fluids$9261818
997   $aUNISA