Long-Time Behavior of Second Order Evolution Equations with Nonlinear Damping

Download Long-Time Behavior of Second Order Evolution Equations with Nonlinear Damping PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821866535
Total Pages : 204 pages
Book Rating : 4.8/5 (665 download)

DOWNLOAD NOW!


Book Synopsis Long-Time Behavior of Second Order Evolution Equations with Nonlinear Damping by : I. Lasiecka, Igor Chueshov

Download or read book Long-Time Behavior of Second Order Evolution Equations with Nonlinear Damping written by I. Lasiecka, Igor Chueshov and published by American Mathematical Soc.. This book was released on 2008-08-08 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider abstract nonlinear second order evolution equations with a nonlinear damping. Questions related to long time behavior, existence and structure of global attractors are studied. Particular emphasis is put on dynamics which--in addition to nonlinear dissipation-- have noncompact semilinear terms and whose energy may not be necessarily decreasing. For such systems the authors first develop a general theory at the abstract level. They then apply the general theory to nonlinear wave and plate equations exhibiting the aforementioned characteristics and are able to provide new results pertaining to several open problems in the area of structure and properties of global attractors arising in this class of PDE dynamics.

Long-Time Behavior of Second Order Evolution Equations with Nonlinear Damping

Download Long-Time Behavior of Second Order Evolution Equations with Nonlinear Damping PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821841874
Total Pages : 200 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Long-Time Behavior of Second Order Evolution Equations with Nonlinear Damping by : Igor Chueshov

Download or read book Long-Time Behavior of Second Order Evolution Equations with Nonlinear Damping written by Igor Chueshov and published by American Mathematical Soc.. This book was released on 2008 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider abstract nonlinear second order evolution equations with a nonlinear damping. Questions related to long time behavior, existence and structure of global attractors are studied. Particular emphasis is put on dynamics which--in addition to nonlinear dissipation-- have noncompact semilinear terms and whose energy may not be necessarily decreasing. For such systems the authors first develop a general theory at the abstract level. They then apply the general theoryto nonlinear wave and plate equations exhibiting the aforementioned characteristics and are able to provide new results pertaining to several open problems in the area of structure and properties of global attractors arising in this class of PDE dynamics.

Dynamics of Quasi-Stable Dissipative Systems

Download Dynamics of Quasi-Stable Dissipative Systems PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319229036
Total Pages : 405 pages
Book Rating : 4.3/5 (192 download)

DOWNLOAD NOW!


Book Synopsis Dynamics of Quasi-Stable Dissipative Systems by : Igor Chueshov

Download or read book Dynamics of Quasi-Stable Dissipative Systems written by Igor Chueshov and published by Springer. This book was released on 2015-09-29 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. The theory of such systems is motivated by the long-term goal to establish rigorous mathematical models for turbulent and chaotic phenomena. The aim here is to offer general methods and abstract results pertaining to fundamental dynamical systems properties related to dissipative long-time behavior. The book systematically presents, develops and uses the quasi-stability method while substantially extending it by including for consideration new classes of models and PDE systems arising in Continuum Mechanics. The book can be used as a textbook in dissipative dynamics at the graduate level. Igor Chueshov is a Professor of Mathematics at Karazin Kharkov National University in Kharkov, Ukraine.

Von Karman Evolution Equations

Download Von Karman Evolution Equations PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387877126
Total Pages : 777 pages
Book Rating : 4.3/5 (878 download)

DOWNLOAD NOW!


Book Synopsis Von Karman Evolution Equations by : Igor Chueshov

Download or read book Von Karman Evolution Equations written by Igor Chueshov and published by Springer Science & Business Media. This book was released on 2010-04-08 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the study of mathematical models that arise in the context of concrete - plications, the following two questions are of fundamental importance: (i) we- posedness of the model, including existence and uniqueness of solutions; and (ii) qualitative properties of solutions. A positive answer to the ?rst question, - ing of prime interest on purely mathematical grounds, also provides an important test of the viability of the model as a description of a given physical phenomenon. An answer or insight to the second question provides a wealth of information about the model, hence about the process it describes. Of particular interest are questions related to long-time behavior of solutions. Such an evolution property cannot be v- i?ed empirically, thus any in a-priori information about the long-time asymptotics can be used in predicting an ultimate long-time response and dynamical behavior of solutions. In recent years, this set of investigations has attracted a great deal of attention. Consequent efforts have then resulted in the creation and infusion of new methods and new tools that have been responsible for carrying out a successful an- ysis of long-time behavior of several classes of nonlinear PDEs.

Nonlinear Vibrations and the Wave Equation

Download Nonlinear Vibrations and the Wave Equation PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 331978515X
Total Pages : 110 pages
Book Rating : 4.3/5 (197 download)

DOWNLOAD NOW!


Book Synopsis Nonlinear Vibrations and the Wave Equation by : Alain Haraux

Download or read book Nonlinear Vibrations and the Wave Equation written by Alain Haraux and published by Springer. This book was released on 2018-05-02 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the revised lecture notes from a seminar course offered at the Federal University of Rio de Janeiro in 1986, then in Tokyo in 1987. An additional chapter has been added to reflect more recent advances in the field.

Attractors for Semigroups and Evolution Equations

Download Attractors for Semigroups and Evolution Equations PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1009229796
Total Pages : pages
Book Rating : 4.0/5 (92 download)

DOWNLOAD NOW!


Book Synopsis Attractors for Semigroups and Evolution Equations by : Olga A. Ladyzhenskaya

Download or read book Attractors for Semigroups and Evolution Equations written by Olga A. Ladyzhenskaya and published by Cambridge University Press. This book was released on 2022-06-09 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, Olga A. Ladyzhenskaya expands on her highly successful 1991 Accademia Nazionale dei Lincei lectures. The lectures were devoted to questions of the behaviour of trajectories for semigroups of nonlinear bounded continuous operators in a locally non-compact metric space and for solutions of abstract evolution equations. The latter contain many initial boundary value problems for dissipative partial differential equations. This work, for which Ladyzhenskaya was awarded the Russian Academy of Sciences' Kovalevskaya Prize, reflects the high calibre of her lectures; it is essential reading for anyone interested in her approach to partial differential equations and dynamical systems. This edition, reissued for her centenary, includes a new technical introduction, written by Gregory A. Seregin, Varga K. Kalantarov and Sergey V. Zelik, surveying Ladyzhenskaya's works in the field and subsequent developments influenced by her results.

Control Methods in PDE-Dynamical Systems

Download Control Methods in PDE-Dynamical Systems PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821837664
Total Pages : 416 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Control Methods in PDE-Dynamical Systems by : Fabio Ancona

Download or read book Control Methods in PDE-Dynamical Systems written by Fabio Ancona and published by American Mathematical Soc.. This book was released on 2007 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: While rooted in controlled PDE systems, this 2005 AMS-IMS-SIAM Summer Research Conference sought to reach out to a rather distinct, yet scientifically related, research community in mathematics interested in PDE-based dynamical systems. Indeed, this community is also involved in the study of dynamical properties and asymptotic long-time behavior (in particular, stability) of PDE-mixed problems. It was the editors' conviction that the time had become ripe and the circumstances propitious for these two mathematical communities--that of PDE control and optimization theorists and that of dynamical specialists--to come together in order to share recent advances and breakthroughs in their respective disciplines. This conviction was further buttressed by recent discoveries that certain energy methods, initially devised for control-theoretic a-priori estimates, once combined with dynamical systems techniques, yield wholly new asymptotic results on well-established, nonlinear PDE systems, particularly hyperb These expectations are now particularly well reflected in the contributions to this volume, which involve nonlinear parabolic, as well as hyperbolic, equations and their attractors; aero-elasticity, elastic systems; Euler-Korteweg models; thin-film equations; Schrodinger equations; beam equations; etc. in addition, the static topics of Helmholtz and Morrey potentials are also prominently featured. A special component of the present volume focuses on hyperbolic conservation laws, to take advantage of recent theoretical advances with significant implications also on applied problems. in all these areas, the reader will find state-of-the-art accounts as stimulating starting points for further research.

Fluids Under Control

Download Fluids Under Control PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3031473558
Total Pages : 376 pages
Book Rating : 4.0/5 (314 download)

DOWNLOAD NOW!


Book Synopsis Fluids Under Control by : Tomáš Bodnár

Download or read book Fluids Under Control written by Tomáš Bodnár and published by Springer Nature. This book was released on with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Stable Manifold Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Differential Equations

Download The Stable Manifold Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Differential Equations PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821842501
Total Pages : 120 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis The Stable Manifold Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Differential Equations by : Salah-Eldin Mohammed

Download or read book The Stable Manifold Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Differential Equations written by Salah-Eldin Mohammed and published by American Mathematical Soc.. This book was released on 2008 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this paper is to characterize the pathwise local structure of solutions of semilinear stochastic evolution equations and stochastic partial differential equations near stationary solutions.

Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics

Download Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 303050302X
Total Pages : 525 pages
Book Rating : 4.0/5 (35 download)

DOWNLOAD NOW!


Book Synopsis Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics by : Victor A. Sadovnichiy

Download or read book Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics written by Victor A. Sadovnichiy and published by Springer Nature. This book was released on 2020-11-24 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the latest approaches and methods in fundamental mathematics and mechanics, and discusses the practical application of abstract mathematical approaches, such as differential geometry, and differential and difference equations in solid mechanics, hydrodynamics, aerodynamics, optimization, decision-making theory and control theory. Featuring selected contributions to the open seminar series of Lomonosov Moscow State University and Igor Sikorsky Kyiv Polytechnic Institute by mathematicians from China, Germany, France, Italy, Spain, Russia, Ukraine and the USA, the book will appeal to mathematicians and engineers working at the interface of these fields

Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems

Download Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821842641
Total Pages : 112 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems by : Sergey Zelik

Download or read book Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems written by Sergey Zelik and published by American Mathematical Soc.. This book was released on 2009-03-06 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study semilinear parabolic systems on the full space ${\mathbb R}^n$ that admit a family of exponentially decaying pulse-like steady states obtained via translations. The multi-pulse solutions under consideration look like the sum of infinitely many such pulses which are well separated. They prove a global center-manifold reduction theorem for the temporal evolution of such multi-pulse solutions and show that the dynamics of these solutions can be described by an infinite system of ODEs for the positions of the pulses. As an application of the developed theory, The authors verify the existence of Sinai-Bunimovich space-time chaos in 1D space-time periodically forced Swift-Hohenberg equation.

Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints

Download Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821841920
Total Pages : 84 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints by : Sergiu Aizicovici

Download or read book Degree Theory for Operators of Monotone Type and Nonlinear Elliptic Equations with Inequality Constraints written by Sergiu Aizicovici and published by American Mathematical Soc.. This book was released on 2008 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the authors examine the degree map of multivalued perturbations of nonlinear operators of monotone type and prove that at a local minimizer of the corresponding Euler functional, this degree equals one.

Non-Divergence Equations Structured on Hormander Vector Fields: Heat Kernels and Harnack Inequalities

Download Non-Divergence Equations Structured on Hormander Vector Fields: Heat Kernels and Harnack Inequalities PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821849034
Total Pages : 136 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Non-Divergence Equations Structured on Hormander Vector Fields: Heat Kernels and Harnack Inequalities by : Marco Bramanti

Download or read book Non-Divergence Equations Structured on Hormander Vector Fields: Heat Kernels and Harnack Inequalities written by Marco Bramanti and published by American Mathematical Soc.. This book was released on 2010 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: "March 2010, Volume 204, number 961 (end of volume)."

Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization

Download Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3031124162
Total Pages : 496 pages
Book Rating : 4.0/5 (311 download)

DOWNLOAD NOW!


Book Synopsis Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization by : Said Melliani

Download or read book Recent Advances in Fuzzy Sets Theory, Fractional Calculus, Dynamic Systems and Optimization written by Said Melliani and published by Springer Nature. This book was released on 2022-08-10 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: We describe in this book recent advances in fuzzy sets theory, fractional calculus, dynamic systems, and optimization. The book provides a setting for the discussion of recent developments in a wide variety of topics including partial differential equations, dynamic systems, optimization, numerical analysis, fuzzy sets theory, fractional calculus, and its applications. The book is aimed at bringing together contributions from leading academic scientists, researchers, and research scholars to exchange and share their experiences and research results on all aspects of applied mathematics, modeling, algebra, economics, finance, and applications. It also provides an interdisciplinary platform for researchers, practitioners, and educators to present the most recent innovations, trends, and concerns as well as practical challenges encountered and solutions adopted in the fields of applied mathematics. The published chapters address various aspects of academic scientists, researchers, and research scholars in many variety mathematical topics.

Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models

Download Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821846531
Total Pages : 84 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models by : Pierre Magal

Download or read book Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models written by Pierre Magal and published by American Mathematical Soc.. This book was released on 2009 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several types of differential equations, such as delay differential equations, age-structure models in population dynamics, evolution equations with boundary conditions, can be written as semilinear Cauchy problems with an operator which is not densely defined in its domain. The goal of this paper is to develop a center manifold theory for semilinear Cauchy problems with non-dense domain. Using Liapunov-Perron method and following the techniques of Vanderbauwhede et al. in treating infinite dimensional systems, the authors study the existence and smoothness of center manifolds for semilinear Cauchy problems with non-dense domain. As an application, they use the center manifold theorem to establish a Hopf bifurcation theorem for age structured models.

Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of Finite Order

Download Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of Finite Order PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821846590
Total Pages : 120 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of Finite Order by : Volker Mayer

Download or read book Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of Finite Order written by Volker Mayer and published by American Mathematical Soc.. This book was released on 2010 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 203, number 954 (third of 5 numbers)."

Ergodicity, Stabilization, and Singular Perturbations for Bellman-Isaacs Equations

Download Ergodicity, Stabilization, and Singular Perturbations for Bellman-Isaacs Equations PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821847155
Total Pages : 90 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Ergodicity, Stabilization, and Singular Perturbations for Bellman-Isaacs Equations by : Olivier Alvarez

Download or read book Ergodicity, Stabilization, and Singular Perturbations for Bellman-Isaacs Equations written by Olivier Alvarez and published by American Mathematical Soc.. This book was released on 2010 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 204, number 960 (fourth of 5 numbers)."