02948nam 2200577 a 450 991048474350332120200520144314.09783642211379364221137210.1007/978-3-642-21137-9(CKB)2670000000100001(SSID)ssj0000508380(PQKBManifestationID)11308761(PQKBTitleCode)TC0000508380(PQKBWorkID)10555669(PQKB)10440518(DE-He213)978-3-642-21137-9(MiAaPQ)EBC3067027(PPN)156314533(EXLCZ)99267000000010000120110628d2011 uy 0engurnn|008mamaatxtccrAsymptotic stability of steady compressible fluids /Mariarosaria Padula1st ed. 2011.New York Springer20111 online resource (XIV, 235 p.) Lecture notes in mathematics,0075-8434 ;2024Bibliographic Level Mode of Issuance: Monograph9783642211362 3642211364 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 (Springer-Verlag) ;2024.Fluid dynamicsStabilityFluid dynamics.Stability.620.1/0640151Padula Mariarosaria478955MiAaPQMiAaPQMiAaPQBOOK9910484743503321Asymptotic stability of steady compressible fluids261818UNINA