Controllability and stabilization of parabolic equations / Viorel Barbu.
2018
QA402.3
Linked e-resources
Linked Resource
Online Access
Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks
Details
Title
Controllability and stabilization of parabolic equations / Viorel Barbu.
Author
Barbu, Viorel, 1941- author.
ISBN
9783319766669 (electronic book)
331976666X (electronic book)
9783319766652
331976666X (electronic book)
9783319766652
Published
Cham, Switzerland : Birkhäuser, 2018.
Language
English
Description
1 online resource (x, 226 pages).
Item Number
10.1007/978-3-319-76666-9 doi
Call Number
QA402.3
Dewey Decimal Classification
515/.642
Summary
This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems. Starting from foundational questions on Carleman inequalities for linear parabolic equations, the author addresses the controllability of parabolic equations on a variety of domains and the spectral decomposition technique for representing them. This method is, in fact, designed for use in a wider class of parabolic systems that include the heat and diffusion equations. Later chapters develop another process that employs stabilizing feedback controllers with a finite number of unstable modes, with special attention given to its use in the boundary stabilization of Navier-Stokes equations for the motion of viscous fluid. In turn, these applied methods are used to explore related topics like the exact controllability of stochastic parabolic equations with linear multiplicative noise. Intended for graduate students and researchers working on control problems involving nonlinear differential equations, Controllability and Stabilization of Parabolic Equations is the distillation of years of lectures and research. With a minimum of preliminaries, the book leaps into its applications for control theory with both concrete examples and accessible solutions to problems in stabilization and controllability that are still areas of current research. .
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed May 2, 2018).
Series
Progress in nonlinear differential equations and their applications ; v. 90.
Linked Resources
Online Access
Record Appears in
Online Resources > Ebooks
All Resources
All Resources
Table of Contents
Preface
Acronyms
Preliminaries
The Carleman Inequality for Linear Parabolic Equations
Exact Controllability of Parabolic Equations
Internal Controllability of Parabolic Equations with Inputs in Coefficients
Feedback Stabilization of Semilinear Parabolic Equations
Boundary Stabilization of Navier-Stokes Equations
Index.
Acronyms
Preliminaries
The Carleman Inequality for Linear Parabolic Equations
Exact Controllability of Parabolic Equations
Internal Controllability of Parabolic Equations with Inputs in Coefficients
Feedback Stabilization of Semilinear Parabolic Equations
Boundary Stabilization of Navier-Stokes Equations
Index.