Controllability and stabilization of parabolic equations /
نام عام مواد
[Book]
نام نخستين پديدآور
Viorel Barbu.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Cham, Switzerland :
نام ناشر، پخش کننده و غيره
Birkhäuser,
تاریخ نشرو بخش و غیره
2018.
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource (x, 226 pages)
فروست
عنوان فروست
Progress in nonlinear differential equations and their applications,
مشخصه جلد
volume 90
شاپا ي ISSN فروست
1421-1750 ;
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
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.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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.
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
Springer Nature
شماره انبار
com.springer.onix.9783319766669
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Control theory.
موضوع مستند نشده
Parabolic operators.
موضوع مستند نشده
Automatic control engineering.
موضوع مستند نشده
Control theory.
موضوع مستند نشده
Cybernetics & systems theory.
موضوع مستند نشده
Differential calculus & equations.
موضوع مستند نشده
MATHEMATICS-- Calculus.
موضوع مستند نشده
MATHEMATICS-- Mathematical Analysis.
موضوع مستند نشده
Maths for engineers.
موضوع مستند نشده
Parabolic operators.
مقوله موضوعی
موضوع مستند نشده
MAT-- 005000
موضوع مستند نشده
MAT-- 034000
رده بندی ديویی
شماره
515/
.
642
ويراست
23
رده بندی کنگره
شماره رده
QA402
.
3
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )