04421nam 22008055 450 99646662880331620200706183312.03-642-21137-210.1007/978-3-642-21137-9(CKB)2670000000100001(SSID)ssj0000508380(PQKBManifestationID)11308761(PQKBTitleCode)TC0000508380(PQKBWorkID)10555669(PQKB)10440518(DE-He213)978-3-642-21137-9(MiAaPQ)EBC3067027(PPN)156314533(EXLCZ)99267000000010000120110728d2011 u| 0engurnn|008mamaatxtccrAsymptotic Stability of Steady Compressible Fluids[electronic resource] /by Mariarosaria Padula1st ed. 2011.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2011.1 online resource (XIV, 235 p.) Lecture Notes in Mathematics,0075-8434 ;2024Bibliographic Level Mode of Issuance: Monograph3-642-21136-4 Includes bibliographical references and index.1 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.This 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.Lecture Notes in Mathematics,0075-8434 ;2024Applied mathematicsEngineering mathematicsMathematical modelsPartial differential equationsPhysicsFluidsMechanicsMechanics, AppliedApplications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Mathematical Modeling and Industrial Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M14068Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Fluid- and Aerodynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21026Theoretical and Applied Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15001Applied mathematics.Engineering mathematics.Mathematical models.Partial differential equations.Physics.Fluids.Mechanics.Mechanics, Applied.Applications of Mathematics.Mathematical Modeling and Industrial Mathematics.Partial Differential Equations.Mathematical Methods in Physics.Fluid- and Aerodynamics.Theoretical and Applied Mechanics.620.1/0640151Padula Mariarosariaauthttp://id.loc.gov/vocabulary/relators/aut478955BOOK996466628803316Asymptotic stability of steady compressible fluids261818UNISA