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Bibliografische Details

Titel: Invariant Manifold Theory for Hydrodynamic Transition (Dover Books on Mathematics)
Verlag: Dover Publications Inc.
Erscheinungsjahr: 2019
Sprache: Englisch
ISBN-10: 048682828X
ISBN-13: 9780486828282
Einband: Paperback
Zustand: Fine

�ber diesen Titel

Inhaltsangabe

"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 Navier-Stokes 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 Navier-Stokes 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."

�ber die Autorin bzw. den Autor

Sivaguru S. Sritharan is Provost and Academic Dean at the Air Force Institute of Technology, located at Ohio's Wright-Patterson Air Force Base. He also serves as the Air Force Institute of Technology's Chief Operating Officer and Chief Academic Officer. He received his Ph.D. in Applied Mathematics from the University of Arizona and was the editor of Optimal Control of Viscous Flow .

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