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  • The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise

    Series series Mathematics and Statistics (R0)
    This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the ... Read more

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  • Topics in Mathematical Fluid Mechanics

    Cetraro, Italy 2010, Editors: Hugo Beirão da Veiga, Franco Flandoli

    Series series Mathematics and Statistics (R0)
    This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, and stochastic models. The ... Read more

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    Strategic Behavior in Combinatorial Structures; Quantitative Finance

    Series series Springer Nature Proceedings excluding Computer Science
    This book is divided into two parts, the first of which seeks to connect the phase transitions of various disciplines, including game theory, and to explore the synergies between statistical physics and combinatorics. Phase Transitions has been an active multidisciplinary field of research, bringing together physicists, computer scientists and mathematicians. The main research theme explores how ... Read more

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  • The Mathematics Behind Biological Invasions

    Series series Mathematics and Statistics (R0)
    This book investigates the mathematical analysis of biological invasions. Unlike purely qualitative treatments of ecology, it draws on mathematical theory and methods, equipping the reader with sharp tools and rigorous methodology. Subjects include invasion dynamics, species interactions, population spread, long-distance dispersal, stochastic effects, risk analysis, and optimal responses to ... Read more

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  • Classical Mechanics

    Gregory's Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, self-contained and highly readable account of a subject many students find difficult. The author's clear and systematic style promotes a good understanding of the subject: each concept is motivated and illustrated by worked examples, while problem sets provide plenty of practice ... Read more

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  • Topological Structure of the Solution Set for Evolution Inclusions

    Series series Mathematics and Statistics (R0)
    This book systematically presents the topological structure of solution sets and attractability for nonlinear evolution inclusions, together with its relevant applications in control problems and partial differential equations. It provides readers the background material needed to delve deeper into the subject and explore the rich research literature.In addition, the book addresses many of the ... Read more

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  • The Respiratory System in Equations

    Series series Mathematics and Statistics (R0)
    This book proposes an introduction to the mathematical modeling of the respiratory system. A detailed introduction on the physiological aspects makes it accessible to a large audience without any prior knowledge on the lung. Different levels of description are proposed, from the lumped models with a small number of parameters (Ordinary Differential Equations), up to infinite dimensional models ... Read more

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  • Convection with Local Thermal Non-Equilibrium and Microfluidic Effects

    Series series Mathematics and Statistics (R0)
    This book is one of the first devoted to an account of theories of thermal convection which involve local thermal non-equilibrium effects, including a concentration on microfluidic effects. The text introduces convection with local thermal non-equilibrium effects in extraordinary detail, making it easy for readers newer to the subject area to understand. This book is unique in the fact that it ... Read more

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  • Multiple Time Scale Dynamics

    Series series Mathematics and Statistics (R0)
    This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a ... Read more

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  • Navier–Stokes Equations

    An Introduction with Applications

    Series series Mathematics and Statistics (R0)
    This volume is devoted to the study of the Navier–Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to engineers and professional mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differential ... Read more

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  • Approximation of Stochastic Invariant Manifolds

    Stochastic Manifolds for Nonlinear SPDEs I

    Series series Mathematics and Statistics (R0)
    This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations. These approximations take the form of Lyapunov-Perron integrals, which are further characterized in Volume II as pullback limits associated with ... Read more

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  • Progress in Turbulence VII

    Proceedings of the iTi Conference in Turbulence 2016

    Series series Springer Nature Proceedings excluding Computer Science
    This volume collects the edited and reviewed contribution presented in the 7th iTi Conference in Bertinoro, covering fundamental and applied aspects in turbulence. In the spirit of the iTi conference, the volume is produced after the conference so that the authors had the opportunity to incorporate comments and discussions raised during the meeting.In the present book, the contributions have been ... Read more

    $143.09 USD