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  • Dynamics of Quasi-Stable Dissipative Systems

    de Igor Chueshov ...
    Series series Mathematics and Statistics (R0)
    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 ... Leer más

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  • Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems

    Series series Mathematics and Statistics (R0)
    The main goal of this book is to systematically address the mathematical methods that are applied in the study of synchronization of infinite-dimensional evolutionary dissipative or partially dissipative systems. It bases its unique monograph presentation on both general and abstract models and covers several important classes of coupled nonlinear deterministic and stochastic PDEs which generate ... Leer más

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  • Dynamical Systems with Applications using MATLAB®

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  • Ordinary Differential Equations: Basics and Beyond

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  • Evolutionary Equations with Applications in Natural Sciences

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    With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and ... Leer más

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  • Progress in Partial Differential Equations

    Asymptotic Profiles, Regularity and Well-Posedness

    Series series Springer Nature Proceedings excluding Computer Science
    Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both original articles and survey papers covering a wide scope of research topics in partial differential equations and their applications. The contributors were participants of the 8th ISAAC congress in Moscow in 2011 or are members of the PDE interest group of ... Leer más

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  • Studies in Phase Space Analysis with Applications to PDEs

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    This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs). Phase space analysis methods, also known as microlocal analysis, have continued to yield striking results over the past years and are now one of the main tools of investigation of ... Leer más

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  • Mathematical Challenges in a New Phase of Materials Science

    Kyoto, Japan, August 2014

    Edición de Yasumasa Nishiura, Motoko Kotani ...
    Series series Springer Nature Proceedings excluding Computer Science
    This volume comprises eight papers delivered at the RIMS International Conference "Mathematical Challenges in a New Phase of Materials Science", Kyoto, August 4–8, 2014. The contributions address subjects in defect dynamics, negatively curved carbon crystal, topological analysis of di-block copolymers, persistence modules, and fracture dynamics. These papers highlight the strong interaction ... Leer más

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  • Multiple Time Scale Dynamics

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  • Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations

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    The book is dedicated to the construction of particular solutions of systems of ordinary differential equations in the form of series that are analogous to those used in Lyapunov’s first method. A prominent place is given to asymptotic solutions that tend to an equilibrium position, especially in the strongly nonlinear case, where the existence of such solutions can’t be inferred on the basis of ... Leer más

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