00000cmm a22000004a 4500 UP-99796217611212137 Buklod 20230215085534.0 m go j cr |nu|||auu|a 140424s xx d u 9783642211379 (eBook) 3642211372 (eBook) (iLib)UPD-00214608307 DML eng DMLUC QC 152.5 P33 2011eb Padula, Mariarosaria. Asymptotic stability of steady compressible fluids [electronic resource] Mariarosaria Padula. Berlin, Heidelberg Springer Berlin Heidelberg 2011. 1 online resource (xiv, 235 p.) Lecture Notes in Mathematics 2024 Includes bibliographical references (p. 223-229) 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. IP-based subscription, access limited to within on-campus computer network. Access via Electronic Resources of the UPD University Library Website. 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. Electronic books. Fluid dynamics Mathematical models. Compressibility. Stability. SpringerLink (Online service). Electronic Resource Available for University of the Philippines Diliman via SpringerLink. Click here to access http://link.springer.com/book/10.1007/978-3-642-21137-9 FO Monograph UPD DMLR Electronic Resource