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Books > Science & Mathematics > Physics > Classical mechanics > Fluid mechanics
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Asymptotic Stability of Steady Compressible Fluids (Paperback, 2011 ed.)
Loot Price: R1,708
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Asymptotic Stability of Steady Compressible Fluids (Paperback, 2011 ed.)
Series: Lecture Notes in Mathematics, 2024
Expected to ship within 10 - 15 working days
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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.
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