Title
Invariant Manifold Theory for Hydrodynamic Transition (Dover Books on Mathematics),New
Delivery time: 8-12 business days (International)
Invariant manifold theory serves as a link between dynamical systems theory and turbulence phenomena. This volume consists of research notes by author S. S. Sritharan that develop a theory for the NavierStokes equations in bounded and certain unbounded geometries. The main results include spectral theorems and analyticity theorems for semigroups and invariant manifolds.'This monograph contains a lot of useful information, including much that cannot be found in the standard texts on the NavierStokes equations,' observed MathSciNet, adding 'the book is well worth the reader's attention.' The treatment is suitable for researchers and graduate students in the areas of chaos and turbulence theory, hydrodynamic stability, dynamical systems, partial differential equations, and control theory. Topics include the governing equations and the functional framework, the linearized operator and its spectral properties, the monodromy operator and its properties, the nonlinear hydrodynamic semigroup, invariant cone theorem, and invariant manifold theorem. Two helpful appendixes conclude the text.
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This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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Frequently Asked Questions
- Q: What is the main focus of 'Invariant Manifold Theory for Hydrodynamic Transition'? A: The book primarily focuses on the invariant manifold theory, establishing a connection between dynamical systems theory and turbulence phenomena, particularly concerning the Navier-Stokes equations.
- Q: Who is the author of this book and what is his background? A: The author is S. S. Sritharan, who has developed this theory through research notes aimed at advancing understanding of hydrodynamic stability and turbulence.
- Q: What are some key topics covered in the book? A: Key topics include governing equations, linearized operators, spectral properties, nonlinear hydrodynamic semigroups, invariant cone theorem, and invariant manifold theorem.
- Q: Is this book suitable for beginners in the field? A: The book is more suitable for researchers and graduate students due to its advanced topics and detailed theoretical discussions.
- Q: Does the book include any supplemental materials? A: Yes, the book concludes with two helpful appendixes that provide additional information related to the main content.
- Q: What is the publication date of this book? A: The book was published on January 16, 2019.
- Q: What is the format of 'Invariant Manifold Theory for Hydrodynamic Transition'? A: The book is available in a paperback format.
- Q: How many pages does this book contain? A: The book contains 160 pages.
- Q: What condition is the book in? A: The book is listed as being in mint condition.
- Q: What can readers expect to gain from this book? A: Readers can expect to gain a deeper understanding of the mathematical foundations of invariant manifold theory and its applications to hydrodynamic stability and chaos.