Handbook of Differential Equations: Stationary Partial Differential Equations: 5

Handbook of Differential Equations: Stationary Partial Differential Equations 5 - Stationary Boundary Value Problems for Compressible Navier–Stokes .
Table of contents

Systems of coupled equations that arise in various fields of continuum mechanics and physics. Analytical and symbolic methods for solving linear equations of mathematical physics.

Handbook of Differential Equations: Stationary Partial Differential Equations - Google Книги

Equations of general form that depend on arbitrary functions and equations that involve many free parameters; exact solutions of such equations are of major importance for testing numerical and approximate analytical methods. The second edition has been substantially updated, revised, and expanded. More than 1, linear equations and systems with solutions, as well some methods and many examples, have been added, which amounts to over pages of new material including new pages dealing with methods.

New to the second edition: Some second-, third-, fourth-, and higher-order linear PDEs with solutions. Systems of coupled partial differential equations with solutions. First-order linear PDEs with solutions. Some analytical methods including decomposition methods and their applications.

Handbook of Differential Equations: Stationary Partial Differential Equations: Volume 5

Some transformations, asymptotic formulas and solutions. Many new examples and figures included for illustrative purposes. Some long tables, including tables of various integral transforms. Extensive table of contents and detailed index.

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Note that Chapters of the book can be used as a database of test problems for numerical, approximate analytical, and symbolic methods for solving linear partial differential equations and systems of coupled equations. To satisfy the needs of a broad audience with diverse mathematical background, the authors have done their best to avoid special terminology whenever possible. Therefore, some of the methods are outlined in a schematic and somewhat simplified manner with necessary references made to books where these methods are considered in more detail.

Many sections are written so that they can be read independently from each other. This allows the reader to get to the heart of the matter quickly. Separate sections of the book can serve as a basis for practical courses and lectures on equations of mathematical physics and linear PDEs. We would like to express our keen gratitude to Alexei Zhurov for fruitful discussions and valuable remarks.

We are very thankful to Inna Shingareva and Carlos Lizarraga-Celaya, who wrote three chapters of the book at our request.

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The authors hope that the handbook will prove helpful for a wide audience of researchers, university and college teachers, engineers, and students in various fields of applied mathematics, mechanics, physics, chemistry, economics, and engineering sciences. Nazaikinskii June Preface to the first edition Linear partial differential equations arise in various fields of science and numerous applications, e. This book presents brief statements and exact solutions of more than linear equations and problems of mathematical physics.

Nonstationary and stationary equations with constant and variable coefficients of parabolic, hyperbolic, and elliptic types are considered. A number of new solutions to linear equations and boundary value problems are described.

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Special attention is paid to equations and problems of general form that depend on arbitrary functions. Formulas for the effective construction of solutions to nonhomogeneous boundary value problems of various types are given. Journal Self-citation is defined as the number of citation from a journal citing article to articles published by the same journal. Evolution of the number of total citation per document and external citation per document i.

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Not every article in a journal is considered primary research and therefore "citable", this chart shows the ratio of a journal's articles including substantial research research articles, conference papers and reviews in three year windows vs. Ratio of a journal's items, grouped in three years windows, that have been cited at least once vs. The purpose is to have a forum in which general doubts about the processes of publication in the journal, experiences and other issues derived from the publication of papers are resolved.

For topics on particular articles, maintain the dialogue through the usual channels with your editor. Handbook of Differential Equations: Year SJR 0.


  1. Find a copy in the library.
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Year International Collaboration 0.