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  • New Perspectives in Mathematical Fluid Mechanics

    Collections series Mathematics and Statistics (R0)
    This volume brings together lecture notes from the two most recent editions of the EMS Summer School Mathematical Aspects of Fluid Flows, held in Kačov, Czech Republic, in May 2019 and 2024. The lectures were taught by leading experts in various fields of mathematical fluid mechanics and offer the current state of the art and emerging trends in the field.The book is organized into two parts:Part I ... En savoir plus

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  • Mathematics of Open Fluid Systems

    Collections series Mathematics and Statistics (R0)
    The goal of this monograph is to develop a mathematical theory of open fluid systems in the framework of continuum thermodynamics. Part I discusses the difference between open and closed fluid systems and introduces the Navier-Stokes-Fourier system as the mathematical model of a fluid in motion that will be used throughout the text. A class of generalized solutions to the Navier-Stokes-Fourier ... En savoir plus

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  • Handbook of Differential Equations: Evolutionary Equations

    Modifié par C.M. Dafermos, Eduard Feireisl ...
    Collections Livre 1 - Handbook of Differential Equations: Evolutionary Equations
    This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous,and in depth surveys on the most important aspects of the present theory. The table of contents includes: W.Arendt: Semigroups and evolution equations: Calculus, regularity and kernel estimatesA.Bressan: The ... En savoir plus

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  • Mathematical Theory of Compressible Viscous Fluids

    Analysis and Numerics

    Collections series Mathematics and Statistics (R0)
    This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the underlying Navier-Stokes system, study the problems of sequential stability, and, lastly, construct ... En savoir plus

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  • Singular Limits in Thermodynamics of Viscous Fluids

    Collections series Mathematics and Statistics (R0)
    This book is about singular limits of systems of partial differential equations governing the motion of thermally conducting compressible viscous fluids."The main aim is to provide mathematically rigorous arguments how to get from the compressible Navier-Stokes-Fourier system several less complex systems of partial differential equations used e.g. in meteorology or astrophysics. However, the book ... En savoir plus

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  • Handbook of Differential Equations: Evolutionary Equations

    Modifié par C.M. Dafermos, Eduard Feireisl ...
    Collections Livre 2 - Handbook of Differential Equations: Evolutionary Equations
    The aim of this Handbook is to acquaint the reader with the current status of the theory of evolutionary partial differential equations, and with some of its applications. Evolutionary partial differential equations made their first appearance in the 18th century, in the endeavor to understand the motion of fluids and other continuous media. The active research effort over the span of two ... En savoir plus

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  • Numerical Analysis of Compressible Fluid Flows

    Collections series Mathematics and Statistics (R0)
    This book is devoted to the numerical analysis of compressible fluids in the spirit of the celebrated Lax equivalence theorem. The text is aimed at graduate students in mathematics and fluid dynamics, researchers in applied mathematics, numerical analysis and scientific computing, and engineers and physicists.The book contains original theoretical material based on a new approach to generalized ... En savoir plus

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  • Mathematical Thermodynamics of Complex Fluids

    Cetraro, Italy 2015

    Collections series Mathematics and Statistics (R0)
    The main goal of this book is to provide an overview of the state of the art in the mathematical modeling of complex fluids, with particular emphasis on its thermodynamical aspects. The central topics of the text, the modeling, analysis and numerical simulation of complex fluids, are of great interest and importance both for the understanding of various aspects of fluid dynamics and for its ... En savoir plus

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  • Handbook of Differential Equations: Evolutionary Equations

    Modifié par C.M. Dafermos, Eduard Feireisl ...
    Collections Livre 3 - Handbook of Differential Equations: Evolutionary Equations
    The material collected in this volume reflects the active present of this area of mathematics, ranging from the abstract theory of gradient flows to stochastic representations of non-linear parabolic PDE's.Articles will highlight the present as well as expected future directions of development of the field with particular emphasis on applications. The article by Ambrosio and Savaré discussesthe ... En savoir plus

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  • Handbook of Differential Equations: Evolutionary Equations

    Modifié par C.M. Dafermos, Milan Pokorny ...
    Collections Livre 4 - Handbook of Differential Equations: Evolutionary Equations
    The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. The seven survey articles present different topics in Evolutionary PDE's, written by leading experts. - Review of new results in the area - Continuation of previous volumes in the handbook series covering Evolutionary PDEs - Written ... En savoir plus

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  • Handbook of Differential Equations: Evolutionary Equations

    Modifié par C.M. Dafermos, Milan Pokorny ...
    Collections Livre 5 - Handbook of Differential Equations: Evolutionary Equations
    Handbook of Differential Equations: Evolutionary Equations is the last text of a five-volume reference in mathematics and methodology. This volume follows the format set by the preceding volumes, presenting numerous contributions that reflect the nature of the area of evolutionary partial differential equations. The book is comprised of five chapters that feature the following: - A thorough ... En savoir plus

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  • Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics

    Collections series Princeton Series in Applied Mathematics
    Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important applications, these materials have been intensely studied over the past twenty-five years, mainly from the perspectives of physics and engineering. But a body of rigorous mathematical theory has also ... En savoir plus

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