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Asymptotic Stability of Steady Compressible Fluids / by Mariarosaria Padula.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Padula, Mariarosaria, author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 2024.
- Lecture Notes in Mathematics, 0075-8434 ; 2024
- Language:
- English
- Subjects (All):
- Mathematics.
- Differential equations, Partial.
- Mathematical physics.
- Mechanics, Applied.
- Applications of Mathematics.
- Mathematical Modeling and Industrial Mathematics.
- Partial Differential Equations.
- Mathematical Methods in Physics.
- Fluid- and Aerodynamics.
- Theoretical and Applied Mechanics.
- Local Subjects:
- Applications of Mathematics.
- Mathematical Modeling and Industrial Mathematics.
- Partial Differential Equations.
- Mathematical Methods in Physics.
- Fluid- and Aerodynamics.
- Theoretical and Applied Mechanics.
- Physical Description:
- 1 online resource (XIV, 235 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783642211379
- Access Restriction:
- Restricted for use by site license.
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