1.

Record Nr.

UNINA9910969742103321

Autore

Sengupta Tapan Kumar <1955->

Titolo

Instabilities of flows and transition to turbulence / / by Tapan K. Sengupta

Pubbl/distr/stampa

Boca Raton, FL : , : CRC Press, an imprint of Taylor and Francis, , 2012

ISBN

0-429-06648-1

1-4398-7945-1

Edizione

[First edition.]

Descrizione fisica

1 online resource (522 p.)

Classificazione

SCI055000TEC009070

Disciplina

532/.0527

Soggetti

Turbulence

Transition flow

Stability

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Front Cover; Contents; Symbol Description; List of Figures; List of Tables; Preface; 1. Introduction to Instability and Transition; 2. Computing Transitional and Turbulent Flows; 3. Instability and Transition in Flows; 4. Bypass Transition: Theory, Computations, and Experiments; 5. Spatio-Temporal Wave Front and Transition; 6. Nonlinear Effects: Multiple Hopf Bifurcations and Proper Orthogonal Decomposition; 7. Stability and Transition of Mixed Convection Flows; 8. Instabilities of Three-Dimensional Flows; 9. Analysis and Design of Natural Laminar Flow Airfoils; 10. Epilogue

11. Selected ProblemsBibliography

Sommario/riassunto

Addressing classical material as well as new perspectives, Instabilities of Flows and Transition to Turbulence presents a concise, up-to-date treatment of theory and applications of viscous flow instability. It covers materials from classical instability to contemporary research areas including bluff body flow instability, mixed convection flows, and application areas of aerospace and other branches of engineering. Transforms and perturbation techniques are used to link linear instability with receptivity of flows, as developed by the author.



2.

Record Nr.

UNINA9910874680103321

Autore

Cheban David N

Titolo

Monotone Nonautonomous Dynamical Systems / / by David N. Cheban

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024

ISBN

9783031600579

Edizione

[1st ed. 2024.]

Descrizione fisica

1 online resource (475 pages)

Disciplina

515.39

Soggetti

Dynamics

Dynamical Systems

Operadors monòtons

Sistemes dinàmics diferenciables

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Poisson Stable Motions of Dynamical Systems  -- Compact Global Attractors  -- V-Monotone Nonautonomous Dynamical Systems  -- Poisson Stable Motions and Global Attractors of Monotone Nonautonomous Dynamical Systems.

Sommario/riassunto

The monograph present ideas and methods, developed by the author, to solve the problem of existence of Bohr/Levitan almost periodic (respectively, almost recurrent in the sense of Bebutov, almost authomorphic, Poisson stable) solutions and global attractors of monotone nonautonomous differential/difference equations. Namely, the text provides answers to the following problems: 1. Problem of existence of at least one Bohr/Levitan almost periodic solution for cooperative almost periodic differential/difference equations; 2. Problem of existence of at least one Bohr/Levitan almost periodic solution for uniformly stable and dissipative monotone differential equations (I. U. Bronshtein’s conjecture, 1975); 3. Problem of description of the structure of the global attractor for monotone nonautonomous dynamical systems;   4. The structure of the invariant/minimal sets and global attractors for one-dimensional monotone nonautonomous dynamical systems;   5. Asymptotic behavior of monotone nonautonomous dynamical systems with a first



integral (Poisson stable motions, convergence, asymptotically Poisson stable motions and structure of the Levinson center (compact global attractor) of dissipative systems); 6. Existence and convergence to Poisson stable motions of monotone sub-linear nonautonomous dynamical systems. This book will be interesting to the mathematical community working in the field of nonautonomous dynamical systems and their applications (population dynamics, oscillation theory, ecology, epidemiology, economics, biochemistry etc). The book should be accessible to graduate and PhD  students who took courses in real analysis (including the elements of functional analysis, general topology) and with general background in dynamical systems and qualitative theory of differential/difference equations. .