Asymptotic Stability of Steady Compressible Fluids
Padula, Mariarosaria.
Asymptotic Stability of Steady Compressible Fluids [electronic resource] / by Mariarosaria Padula. - XIV, 235 p. online resource. - Lecture Notes in Mathematics, 2024 0075-8434 ; . - Lecture Notes in Mathematics, 2024 .
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.
9783642211379
10.1007/978-3-642-21137-9 doi
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.
T57-57.97
519
Asymptotic Stability of Steady Compressible Fluids [electronic resource] / by Mariarosaria Padula. - XIV, 235 p. online resource. - Lecture Notes in Mathematics, 2024 0075-8434 ; . - Lecture Notes in Mathematics, 2024 .
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.
9783642211379
10.1007/978-3-642-21137-9 doi
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.
T57-57.97
519