Homogenization in Time of Singularly Perturbed Mechanical Systems
ISBN: 9783540644477 / Angielski / Miękka / 158 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is about the explicit elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and our understanding of model hierarchies. The author presents his new direct method, homogenization in time, based on energy principles and weak convergence techniques. How to use this method is shown in several general cases taken from classical and quantum mechanics. The results are applied to special problems from plasma physics, molecular dynamics and quantum chemistry. Background material from functional analysis is provided and explained to...
This book is about the explicit elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and...
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cena:
115,74 zł |
Approximation of Free-Discontinuity Problems
ISBN: 9783540647713 / Angielski / Miękka / 154 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and...
Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to t...
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115,74 zł |
Burgers-KPZ Turbulence: Göttingen Lectures
ISBN: 9783540652373 / Angielski / Miękka / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These lecture notes are woven around the subject of Burgers' turbulence/KPZ model of interface growth, a study of the nonlinear parabolic equation with random initial data. The analysis is conducted mostly in the space-time domain, with less attention paid to the frequency-domain picture. However, the bibliography contains a more complete information about other directions in the field which over the last decade enjoyed a vigorous expansion. The notes are addressed to a diverse audience, including mathematicians, statisticians, physicists, fluid dynamicists and engineers, and contain both...
These lecture notes are woven around the subject of Burgers' turbulence/KPZ model of interface growth, a study of the nonlinear parabolic equation wit...
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cena:
193,19 zł |
The Cauchy Problem for Higher Order Abstract Differential Equations
ISBN: 9783540652380 / Angielski / Miękka / 300 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The main purpose of this book is to present the basic theory and some recent de- velopments concerning the Cauchy problem for higher order abstract differential equations u(n)(t) + AiU(i)(t) = 0, t 0, { U(k)(O) = Uk, 0 k n-l. where AQ, Ab . . ., A - are linear operators in a topological vector space E. n 1 Many problems in nature can be modeled as (ACP ). For example, many n initial value or initial-boundary value problems for partial differential equations, stemmed from mechanics, physics, engineering, control theory, etc., can be trans- lated into this form by regarding the partial...
The main purpose of this book is to present the basic theory and some recent de- velopments concerning the Cauchy problem for higher order abstract di...
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cena:
193,03 zł |
Symmetry and Perturbation Theory in Nonlinear Dynamics
ISBN: 9783540659044 / Angielski / Twarda / 212 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book deals with the theory of Poincar --Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie point symmetries, and not just on symmetries acting linearly. Some results on the simultaneous normalization of a vector field describing a dynamical system and vector fields describing its symmetry are presented and a perturbative approach is also used. Attention is given to the problem of convergence of the normalizing transformation in the presence of symmetry, with some other extensions of the theory. The results are discussed for the general...
This book deals with the theory of Poincar --Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie poin...
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cena:
386,41 zł |
Gröbner Deformations of Hypergeometric Differential Equations
ISBN: 9783540660651 / Angielski / Twarda / 254 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Grobner bases, which is reexamined here from the point of view of geometric deformations. Perturbation techniques have a long tradition in analysis; Grobner deformations of left ideals in the Weyl algebra are the algebraic analogue to classical perturbation techniques. The algorithmic methods introduced here are particularly useful for studying the systems of multidimensional hypergeometric PDEs introduced by Gelfand, Kapranov and Zelevinsky. The...
In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Gr...
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cena:
231,83 zł |
Regular Variation and Differential Equations
ISBN: 9783540671602 / Angielski / Miękka / 134 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An application of regular variation to the qualitative theory of differential equations. Asymptotic properties (including non-oscillation) of solutions of second order linear and of some non-linear equations are proved by means of a method yielded by the well-developed theory of regular variation.
An application of regular variation to the qualitative theory of differential equations. Asymptotic properties (including non-oscillation) of solution...
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cena:
135,06 zł |
Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set
ISBN: 9783540674344 / Angielski / Miękka / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is mainly devoted to the combinatorics of quadratic holomorphic dynamics. The conceptual kernel is a self-contained abstract counterpart of connected quadratic Julia sets which is built on Thurston's concept of a quadratic invariant lamination and on symbolic descriptions of the angle-doubling map. The theory obtained is illustrated in the complex plane. It is used to give rigorous proofs of some well-known and some partially new statements on the structure of the Mandelbrot set. The text is intended for graduate students and researchers. Some elementary knowledge in topology and in...
This book is mainly devoted to the combinatorics of quadratic holomorphic dynamics. The conceptual kernel is a self-contained abstract counterpart of ...
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cena:
193,19 zł |
Regularity Results for Nonlinear Elliptic Systems and Applications
ISBN: 9783540677567 / Angielski / Twarda / 443 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book collects many helpful techniques for obtaining regularity results for solutions of nonlinear systems of partial differential equations. These are applied in various cases to provide useful examples and relevant results, particularly in such fields as fluid mechanics, solid mechanics, semiconductor theory and game theory. This book collects many helpful techniques for obtaining regularity results for solutions of nonlinear systems of partial differential equations. T... |
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cena:
386,41 zł |
Oscillatory Integrals and Phenomena Beyond All Algebraic Orders: With Applications to Homoclinic Orbits in Reversible Systems
ISBN: 9783540677857 / Angielski / Miękka / 418 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the last two decades, in several branches of science (water waves, crystal growth, travelling waves in one dimensional lattices, splitting of separatrices, ...) different problems appeared in which the key point is the computation of exponentially small terms. This self-contained monograph gives new and rigorous mathematical tools which enable a systematic study of such problems. Starting with elementary illuminating examples, the book contains (i) new asymptotical tools for obtaining exponentially small equivalents of oscillatory integrals involving solutions of nonlinear differential...
During the last two decades, in several branches of science (water waves, crystal growth, travelling waves in one dimensional lattices, splitting of s...
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cena:
193,19 zł |
Non-Smooth Dynamical Systems
ISBN: 9783540679936 / Angielski / Miękka / 232 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book provides a self-contained introduction to the mathematical theory of non-smooth dynamical problems, as they frequently arise from mechanical systems with friction and/or impacts. It is aimed at applied mathematicians, engineers, and applied scientists in general who wish to learn the subject.
The book provides a self-contained introduction to the mathematical theory of non-smooth dynamical problems, as they frequently arise from mechanical ...
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cena:
193,19 zł |
Construction of Global Lyapunov Functions Using Radial Basis Functions
ISBN: 9783540699071 / Angielski / Miękka / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book combines two mathematical branches: dynamical systems and radialbasisfunctions.Itismainlywrittenformathematicianswithexperience in at least one of these two areas. For dynamical systems we provide a method to construct a Lyapunov function and to determine the basin of attraction of an equilibrium. For radial basis functions we give an important application for the approximation of solutions of linear partial di?erential equations. The book includes a summary of the basic facts of dynamical systems and radial basis functions which are needed in this book. It is, however, no...
This book combines two mathematical branches: dynamical systems and radialbasisfunctions.Itismainlywrittenformathematicianswithexperience in at least ...
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cena:
135,06 zł |
A Concise Course on Stochastic Partial Differential Equations
ISBN: 9783540707806 / Angielski / Miękka / 156 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. There are three approaches to analyze SPDE: the "martingale measure approach," the "mild solution approach" and the "variational approach." The purpose of these notes is to give a concise and as self-contained as possible an introduction to the "variational approach." A large part of necessary background material is included in appendices. These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. There are three approaches to anal... |
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154,54 zł |
An Introduction to Sobolev Spaces and Interpolation Spaces
ISBN: 9783540714828 / Angielski / Miękka / 218 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. After publishing an introduction to the Navier-Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible to a larger audience.
After publishing an introduction to the Navier-Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lec... |
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347,77 zł |
Stratified Lie Groups and Potential Theory for Their Sub-Laplacians
ISBN: 9783540718963 / Angielski / Twarda / 832 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups. It also provides a largely self-contained presentation of stratified Lie groups, and of their Lie algebra of left-invariant vector fields. The presentation is accessible to graduate students and requires no specialized knowledge in algebra or differential geometry. This book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups. It also provides a largely self-containe... |
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618,28 zł |
Hamiltonian Reduction by Stages
ISBN: 9783540724698 / Angielski / Miękka / 544 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. The volume also provides ample background theory on symplectic reduction and cotangent bundle reduction. This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives ... |
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193,19 zł |
Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators
ISBN: 9783540726890 / Angielski / Miękka / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book describes in detail a quantity encoding spectral feature of random operators: the integrated density of states or spectral distribution function. It presents various approaches to the construction of the integrated density of states and the proof of its regularity properties. The book also includes references to and a discussion of other properties of the IDS as well as a variety of models beyond those treated in detail here. This book describes in detail a quantity encoding spectral feature of random operators: the integrated density of states or spectral distribution f... |
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135,06 zł |
Stability of Nonautonomous Differential Equations
ISBN: 9783540747741 / Angielski / Miękka / 291 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The main theme of this book is the stability of nonautonomous di?erential equations, with emphasis on the study of the existence and smoothness of invariant manifolds, and the Lyapunov stability of solutions. We always c- sider a nonuniform exponential behavior of the linear variational equations, given by the existence of a nonuniform exponential contraction or a nonu- form exponential dichotomy. Thus, the results hold for a much larger class of systems than in the "classical" theory of exponential dichotomies. Thedeparturepointofthebookisourjointworkontheconstructionof- variant manifolds...
The main theme of this book is the stability of nonautonomous di?erential equations, with emphasis on the study of the existence and smoothness of inv...
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cena:
193,19 zł |
Matrix Riccati Equations in Control and Systems Theory
ISBN: 9783764300852 / Angielski / Twarda / 572 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of the book is to present the state of the art of the theory of symmetric (Hermitian) matrix Riccati equations and to contribute to the development of the theory of non-symmetric Riccati equations as well as to certain classes of coupled and generalized Riccati equations occurring in differential games and stochastic control. The volume offers a complete treatment of generalized and coupled Riccati equations. It deals with differential, discrete-time, algebraic or periodic symmetric and non-symmetric equations, with special emphasis on those equations appearing in control and... The aim of the book is to present the state of the art of the theory of symmetric (Hermitian) matrix Riccati equations and to contribute to the dev... |
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cena:
579,64 zł |
Nonlinear Equations: Methods, Models and Applications
ISBN: 9783764303983 / Angielski / Twarda / 268 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains research articles from the field of Nonlinear Differential Equa tions which result from the "Workshop on Nonlinear Analysis and Applications" held in Bergamo on July 9 to 13, 200l. This workshop was the third edition of a meeting which first took place in Campinas in 1996 and was founded in part upon scientific cooperation, already well initiated, between some participants, on specific problems in Nonlinear Analysis, and in part upon the whish to extend such cooperation to other researchers and to other topics. The scientific collaboration between Italy and Brazil is not...
This volume contains research articles from the field of Nonlinear Differential Equa tions which result from the "Workshop on Nonlinear Analysis and A...
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cena:
386,41 zł |