The Porous Medium Equation

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Release : 2006-10-26
Genre : Mathematics
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Book Rating : 830/5 ( reviews)

The Porous Medium Equation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Porous Medium Equation write by Juan Luis Vazquez. This book was released on 2006-10-26. The Porous Medium Equation available in PDF, EPUB and Kindle. The Heat Equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it come to be fairly well understood. In this monograph, aimed at research students and academics in mathematics and engineering, as well as engineering specialists, Professor Vazquez provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation (PME). This equation appears in a number of physical applications, such as to describe processes involving fluid flow, heat transfer or diffusion. Other applications have been proposed in mathematical biology, lubrication, boundary layer theory, and other fields. Each chapter contains a detailed introduction and is supplied with a section of notes, providing comments, historical notes or recommended reading, and exercises for the reader.

Weak solutions of the porous medium equation

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Author :
Release : 1987
Genre :
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Book Rating : /5 ( reviews)

Weak solutions of the porous medium equation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Weak solutions of the porous medium equation write by Björn E. J. Dahlberg. This book was released on 1987. Weak solutions of the porous medium equation available in PDF, EPUB and Kindle.

Weak solutions of the porous medium equation in a cylinder

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Release : 1987
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Book Rating : /5 ( reviews)

Weak solutions of the porous medium equation in a cylinder - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Weak solutions of the porous medium equation in a cylinder write by Björn E. J. Dahlberg. This book was released on 1987. Weak solutions of the porous medium equation in a cylinder available in PDF, EPUB and Kindle.

The Porous Medium Equation

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Author :
Release : 2007
Genre : Mathematics
Kind :
Book Rating : 033/5 ( reviews)

The Porous Medium Equation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Porous Medium Equation write by Juan Luis Vazquez. This book was released on 2007. The Porous Medium Equation available in PDF, EPUB and Kindle. The Heat Equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it come to be fairly well understood. In this monograph, aimed at research students and academics in mathematics and engineering, as well as engineering specialists, Professor Vazquez provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heatequation usually called the Porous Medium Equation (PME). This equation appears in a number of physical applications, such as to describe processes involving fluid flow, heat transfer or diffusion. Other applications have been proposed in mathematical biology, lubrication, boundary layer theory, andother fields. Each chapter contains a detailed introduction and is supplied with a section of notes, providing comments, historical notes or recommended reading, and exercises for the reader.

Shape Optimization and Free Boundaries

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 107/5 ( reviews)

Shape Optimization and Free Boundaries - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Shape Optimization and Free Boundaries write by Michel C. Delfour. This book was released on 2012-12-06. Shape Optimization and Free Boundaries available in PDF, EPUB and Kindle. Shape optimization deals with problems where the design or control variable is no longer a vector of parameters or functions but the shape of a geometric domain. They include engineering applications to shape and structural optimization, but also original applications to image segmentation, control theory, stabilization of membranes and plates by boundary variations, etc. Free and moving boundary problems arise in an impressingly wide range of new and challenging applications to change of phase. The class of problems which are amenable to this approach can arise from such diverse disciplines as combustion, biological growth, reactive geological flows in porous media, solidification, fluid dynamics, electrochemical machining, etc. The objective and orginality of this NATO-ASI was to bring together theories and examples from shape optimization, free and moving boundary problems, and materials with microstructure which are fundamental to static and dynamic domain and boundary problems.