Weak Solutions to Stochastic Porous Media Equations - 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 to Stochastic Porous Media Equations write by Giuseppe Da Prato. This book was released on 2003. Weak Solutions to Stochastic Porous Media Equations available in PDF, EPUB and Kindle.
Stochastic Porous Media Equations
Stochastic Porous Media Equations - 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 Stochastic Porous Media Equations write by Viorel Barbu. This book was released on 2016-09-30. Stochastic Porous Media Equations available in PDF, EPUB and Kindle. Focusing on stochastic porous media equations, this book places an emphasis on existence theorems, asymptotic behavior and ergodic properties of the associated transition semigroup. Stochastic perturbations of the porous media equation have reviously been considered by physicists, but rigorous mathematical existence results have only recently been found. The porous media equation models a number of different physical phenomena, including the flow of an ideal gas and the diffusion of a compressible fluid through porous media, and also thermal propagation in plasma and plasma radiation. Another important application is to a model of the standard self-organized criticality process, called the "sand-pile model" or the "Bak-Tang-Wiesenfeld model". The book will be of interest to PhD students and researchers in mathematics, physics and biology.
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.
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.
Kolmogorov Equations for Stochastic PDEs
Kolmogorov Equations for Stochastic PDEs - 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 Kolmogorov Equations for Stochastic PDEs write by Giuseppe Da Prato. This book was released on 2012-12-06. Kolmogorov Equations for Stochastic PDEs available in PDF, EPUB and Kindle. Kolmogorov Equations for Stochastic PDEs gives an introduction to stochastic partial differential equations, such as reaction-diffusion, Burgers and 2D Navier-Stokes equations, perturbed by noise. It studies several properties of corresponding transition semigroups, such as Feller and strong Feller properties, irreducibility, existence and uniqueness of invariant measures. In addition, the transition semigroups are interpreted as generalized solutions of Kologorov equations.
