Authors:
It is the first book specifically devoted to nonlinear stability of compressible fluids.
A systematic approach is proposed.
It turns out of great utility to graduate students, since it is self--contained and only basic elements of functional analysis and PDE are required.
Original techniques are introduced in the study of direct Lyapunov method, these techniques furnish, in particular new "a priori" estimates for the solutions.
Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2024)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
Keywords
- 35-XX, 76-XX
- Compressible fluids: barotropic, polytropic
- Direct Lyapunov stability method
- Free boundary problem
- Free work equation
- Uniqueness of steady flows
- partial differential equations
- fluid- and aerodynamics
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. Ströhmer, Mathematical Reviews, January, 2013)
Authors and Affiliations
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Faculty of Engineering, Department of Mathematics, University of Ferrara, Ferrara, Italy
Mariarosaria Padula
Bibliographic Information
Book Title: Asymptotic Stability of Steady Compressible Fluids
Authors: Mariarosaria Padula
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-21137-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Softcover ISBN: 978-3-642-21136-2Published: 30 July 2011
eBook ISBN: 978-3-642-21137-9Published: 30 July 2011
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIV, 235
Topics: Applications of Mathematics, Mathematical Modeling and Industrial Mathematics, Differential Equations, Mathematical Methods in Physics, Continuum Mechanics, Engineering Mechanics