TY  - BOOK
AU  - Padula,Mariarosaria
ED  - SpringerLink (Online service)
TI  - Asymptotic Stability of Steady Compressible Fluids
T2  - Lecture Notes in Mathematics,
SN  - 9783642211379
AV  - T57-57.97 
U1  - 519 23
PY  - 2011///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Differential equations, partial
KW  - Mathematical physics
KW  - Mechanics, applied
KW  - Applications of Mathematics
KW  - Mathematical Modeling and Industrial Mathematics
KW  - Partial Differential Equations
KW  - Mathematical Methods in Physics
KW  - Fluid- and Aerodynamics
KW  - Theoretical and Applied Mechanics
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-642-21137-9
ER  -