Overview
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.
Full Product Details
Author: Mariarosaria Padula
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 2011 ed.
Volume: 2024
Dimensions:
Width: 15.50cm
, Height: 1.30cm
, Length: 23.50cm
Weight: 0.454kg
ISBN: 9783642211362
ISBN 10: 3642211364
Pages: 235
Publication Date: 30 July 2011
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Awaiting stock
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Reviews
From the reviews: The subject of the book is the dynamic stability of steady flows of fluids. ... The book considers many different boundary conditions with fixed and free boundaries. ... the book is well written and of interest to everyone working on the questions of stability, in particular global stability of compressible viscous fluid flows. It also provides an extensive list of references about the subject matter. (Gerhard O. Strohmer, Mathematical Reviews, January, 2013)
From the reviews: The subject of the book is the dynamic stability of steady flows of fluids. ... The book considers many different boundary conditions with fixed and free boundaries. ... the book is well written and of interest to everyone working on the questions of stability, in particular global stability of compressible viscous fluid flows. It also provides an extensive list of references about the subject matter. (Gerhard O. Strohmer, Mathematical Reviews, January, 2013)
