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  • Free Boundary Problems in Fluid Dynamics

    Series series Mathematics and Statistics (R0)
    This book, originating from a seminar held at Oberwolfach in 2022, introduces to state-of-the-art methods and results in the study of free boundary problems which are arising from compressible as well as from incompressible Euler’s equations in general. A particular set of such problems is given by gaseous stars considered in a vacuum (modeled via the compressible Euler equations) as well as water ... Read more

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

    Series 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 ... Read more

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    Series series Advances in Applied Mathematics
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  • Hangzhou Lectures on Eigenfunctions of the Laplacian

    Series Book 188 - Annals of Mathematics Studies
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  • Wigner Transform, The

    Series Book 0 - Advanced Textbooks In Mathematics
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  • Numerical Approximation of Ordinary Differential Problems

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    Series series Mathematics and Statistics (R0)
    This book is focused on the numerical discretization of ordinary differential equations (ODEs), under several perspectives. The attention is first conveyed to providing accurate numerical solutions of deterministic problems. Then, the presentation moves to a more modern vision of numerical approximation, oriented to reproducing qualitative properties of the continuous problem along the discretized ... Read more

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  • Handbook of Dynamical Systems

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    Edited by A. Katok, B. Hasselblatt ...
    This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002. The contents of these two tightly integrated parts taken together come close to a realization of the program formulated in the introductory survey "Principal Structures of Volume 1A.The present volume contains surveys on subjects in four areas of dynamical systems: Hyperbolic dynamics, parabolic dynamics, ... Read more

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  • Fourier Integrals in Classical Analysis

    Series Book 210 - Cambridge Tracts in Mathematics
    This advanced monograph is concerned with modern treatments of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. In particular, the author uses microlocal analysis to study problems involving maximal functions and Riesz means using the so ... Read more

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  • Nonlinear Systems and Their Remarkable Mathematical Structures

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