1.

Record Nr.

UNISA996466628803316

Autore

Padula Mariarosaria

Titolo

Asymptotic Stability of Steady Compressible Fluids [[electronic resource] /] / by Mariarosaria Padula

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2011

ISBN

3-642-21137-2

Edizione

[1st ed. 2011.]

Descrizione fisica

1 online resource (XIV, 235 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 2024

Disciplina

620.1/0640151

Soggetti

Applied 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

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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.