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  • Free Boundary Problems in PDEs and Particle Systems

    Series Book 12 - SpringerBriefs in Mathematical Physics
    In this volume a theory for models of transport in the presence of a free boundary is developed.Macroscopic laws of transport are described by PDE's.When the system is open, there are several mechanisms to couple the system with the external forces. Here a class of systems where the interaction with the exterior takes place in correspondence of a free boundary is considered. Both continuous and ... Read more

    $49.99 USD

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    The Logic of Science

    by E. T. Jaynes ...
    The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, ... Read more

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  • X and the City

    Modeling Aspects of Urban Life

    by John A. Adam ...
    What mathematical modeling uncovers about life in the cityX and the City, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life. How do you estimate the number of dental or doctor's offices, gas stations, restaurants, or movie theaters in a city of a given size? How can mathematics be used to maximize traffic flow ... Read more

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  • Stochastic Processes and Applications

    Diffusion Processes, the Fokker-Planck and Langevin Equations

    Series series Mathematics and Statistics (R0)
    This book presents various results and techniques from the theory of stochastic processes that are useful in the study of stochastic problems in the natural sciences. The main focus is analytical methods, although numerical methods and statistical inference methodologies for studying diffusion processes are also presented. The goal is the development of techniques that are applicable to a wide ... Read more

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  • An Introduction to Statistical Mechanics and Thermodynamics

    Series series Oxford Graduate Texts
    This text presents the two complementary aspects of thermal physics as an integrated theory of the properties of matter. Conceptual understanding is promoted by thorough development of basic concepts. In contrast to many texts, statistical mechanics, including discussion of the required probability theory, is presented first. This provides a statistical foundation for the concept of entropy, which ... Read more

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  • From Particle Systems to Partial Differential Equations

    PSPDE IV, Braga, Portugal, December 2015

    Series series Springer Nature Proceedings excluding Computer Science
    "This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology. It gathers the lecture notes from the mini-course presented by Jean-Christophe Mourrat on the construction of the various stochastic “basic” terms involved in the formulation of the dynamic Ö4 theory in three space dimensions, as well as selected contributions presented at ... Read more

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  • Non-equilibrium Statistical Physics with Application to Disordered Systems

    Series series Physics and Astronomy (R0)
    This textbook is the result of the enhancement of several courses on non-equilibrium statistics, stochastic processes, stochastic differential equations, anomalous diffusion and disorder. The target audience includes students of physics, mathematics, biology, chemistry, and engineering at undergraduate and graduate level with a grasp of the basic elements of mathematics and physics of the fourth ... Read more

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  • Recent Progress in the Theory of the Euler and Navier–Stokes Equations

    Series Book 430 - London Mathematical Society Lecture Note Series
    The rigorous mathematical theory of the Navier–Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions ... Read more

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  • Thermoelasticity with Finite Wave Speeds

    Series series Oxford Mathematical Monographs
    Generalized dynamic thermoelasticity is a vital area of research in continuum mechanics, free of the classical paradox of infinite propagation speeds of thermal signals in Fourier-type heat conduction. Besides that paradox, the classical dynamic thermoelasticity theory offers either unsatisfactory or poor descriptions of a solid's response at low temperatures or to a fast transient loading (say, ... Read more

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  • From Particle Systems to Partial Differential Equations

    Particle Systems and PDEs, Braga, Portugal, December 2012

    Series series Springer Nature Proceedings excluding Computer Science
    This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations I, which took place at the Centre of Mathematics of the University of Minho, Braga, Portugal, from the 5th to the 7th of December, 2012.The purpose of the conference was to bring together world leaders to discuss their topics of expertise and to present some of their latest ... Read more

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  • Brownian Dynamics at Boundaries and Interfaces

    In Physics, Chemistry, and Biology

    by Zeev Schuss ...
    Series series Mathematics and Statistics (R0)
    Brownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their key role in molecular and cellular biophysics: diffusion of ions and molecules is the driver of all life. Brownian dynamics simulations are the numerical realizations of ... Read more

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  • Mathematics of Two-Dimensional Turbulence

    Series Book 194 - Cambridge Tracts in Mathematics
    This book is dedicated to the mathematical study of two-dimensional statistical hydrodynamics and turbulence, described by the 2D Navier–Stokes system with a random force. The authors' main goal is to justify the statistical properties of a fluid's velocity field u(t,x) that physicists assume in their work. They rigorously prove that u(t,x) converges, as time grows, to a statistical equilibrium, ... Read more

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