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
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. Aimed at research students and academics in mathematics and engineering, as well as engineering specialists, this book provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation.
Weak Solutions of the Porous Medium Equation
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 B. E. J. Dahlberg. This book was released on 1987. Weak Solutions of the Porous Medium Equation available in PDF, EPUB and Kindle.
Degenerate Diffusions
Degenerate Diffusions - 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 Degenerate Diffusions write by Panagiota Daskalopoulos. This book was released on 2007. Degenerate Diffusions available in PDF, EPUB and Kindle. The book deals with the existence, uniqueness, regularity, and asymptotic behavior of solutions to the initial value problem (Cauchy problem) and the initial-Dirichlet problem for a class of degenerate diffusions modeled on the porous medium type equation $u_t = \Delta u^m$, $m \geq 0$, $u \geq 0$. Such models arise in plasma physics, diffusion through porous media, thin liquid film dynamics, as well as in geometric flows such as the Ricci flow on surfaces and the Yamabe flow. The approach presented to these problems uses local regularity estimates and Harnack type inequalities, which yield compactness for families of solutions. The theory is quite complete in the slow diffusion case ($ m>1$) and in the supercritical fast diffusion case ($m_c
The Porous Medium Equation
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.
