Tag: Equations

January 1, 2024

Nonlinear Evolution Equations

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Free Download Boling GUO, "Nonlinear Evolution Equations"
English | ASIN : B0CLL67CZB | 2023 | pages | PDF | 21 MB
The book introduces the existence, uniqueness, regularity and the long time behavior of solutions with respect to space and time, and the explosion phenomenon for some evolution equations, including the KdV equation, the nonlinear Schrödinger equation, the sine-Gordon equation, the Zakharov equations, the Landau-Lifshitz equations, the Boussinesq equation, the Navier-Stokes equations and the Newton-Boussinesq equations etc., as well as the basic concepts and research methods of infinite-dimensional dynamical systems. This book presents fundamental elements and important advances in nonlinear evolution equations. It is intended for senior university students, graduate students, postdoctoral fellows and young teachers to acquire a basic understanding of this field, while providing a reference for experienced researchers and teachers in natural sciences and engineering technology to broaden their knowledge.

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January 1, 2024

Applications of Lie Groups to Differential Equations (2024)

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Free Download Applications of Lie Groups to Differential Equations by Peter J. Olver
English | PDF | 1986 | 524 Pages | ISBN : 0387962506 | 105.9 MB
This book is devoted to explaining a wide range of applications of con tinuous symmetry groups to physically important systems of differential equations. Emphasis is placed on significant applications of group-theoretic methods, organized so that the applied reader can readily learn the basic computational techniques required for genuine physical problems. The first chapter collects together (but does not prove) those aspects of Lie group theory which are of importance to differential equations.

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December 29, 2023

Partial Differential Equations Qualitative Studies of Linear Equations, 3rd Edition

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Free Download Partial Differential Equations: Qualitative Studies of Linear Equations
English | 2023 | ISBN: 3031336992 | 706 Pages | PDF (True) | 7 MB
This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centered about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.

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December 29, 2023

Partial Differential Equations Basic Theory, 3rd EDITION

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Free Download Partial Differential Equations: Basic Theory
English | 2023 | ISBN: 3031338588 | 734 Pages | PDF (True) | 9 MB
The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.

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December 29, 2023

An Introduction to Fractional Differential Equations

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Free Download An Introduction to Fractional Differential Equations
English | 2023 | ISBN: 9819960797 | 200 Pages | PDF EPUB (True) | 13 MB
This is an introductory-level text on fractional calculus and fractional differential equations. Targeted to graduate students of mathematics and researchers, it contains several new definitions of fractional integrals and fractional derivatives. With interesting applications of the subject in several areas of physical sciences, life sciences, engineering, and technology, the book helps the students understand the importance and developments of this topic. The book is enriched with a list of useful references to published literature, and the presentation of the book is entirely new and easily comprehensible to the students. Some of the topics are refined, and new examples are included to supplement theories to help students understand the concepts easily and clearly.

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