Weak Solutions Of The Porous Medium Equation In A Cylinder
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Author | : Björn E. J. Dahlberg |
Publisher | : |
Total Pages | : 13 |
Release | : 1987 |
Genre | : |
ISBN | : |
Download Weak solutions of the porous medium equation in a cylinder Book in PDF, Epub and Kindle
Author | : Juan Luis Vazquez |
Publisher | : Oxford University Press |
Total Pages | : 647 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 0198569033 |
Download The Porous Medium Equation Book 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.
Author | : B. E. J. Dahlberg |
Publisher | : |
Total Pages | : 25 |
Release | : 1987 |
Genre | : |
ISBN | : |
Download Weak Solutions of the Porous Medium Equation Book in PDF, Epub and Kindle
Author | : Panagiota Daskalopoulos |
Publisher | : European Mathematical Society |
Total Pages | : 216 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 9783037190333 |
Download Degenerate Diffusions Book 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
Author | : James Serrin |
Publisher | : |
Total Pages | : 40 |
Release | : 1961 |
Genre | : Differential equations, Partial |
ISBN | : |
Download On the Interior Regularity of Weak Solutions of the Navier-stokes Equations Book in PDF, Epub and Kindle
Author | : Emmanuele DiBenedetto |
Publisher | : Springer Science & Business Media |
Total Pages | : 287 |
Release | : 2011-11-13 |
Genre | : Mathematics |
ISBN | : 1461415845 |
Download Harnack's Inequality for Degenerate and Singular Parabolic Equations Book in PDF, Epub and Kindle
Degenerate and singular parabolic equations have been the subject of extensive research for the last 25 years. Despite important achievements, the issue of the Harnack inequality for non-negative solutions to these equations, both of p-Laplacian and porous medium type, while raised by several authors, has remained basically open. Recently considerable progress has been made on this issue, to the point that, except for the singular sub-critical range, both for the p-laplacian and the porous medium equations, the theory is reasonably complete. It seemed therefore timely to trace a comprehensive overview, that would highlight the main issues and also the problems that still remain open. The authors give a comprehensive treatment of the Harnack inequality for non-negative solutions to p-laplace and porous medium type equations, both in the degenerate (p/i”2 or im/i”1) and in the singular range (1“ip/i2 or 0“im/i
Author | : Joachim Escher |
Publisher | : Springer |
Total Pages | : 295 |
Release | : 2015-06-04 |
Genre | : Mathematics |
ISBN | : 3319125478 |
Download Elliptic and Parabolic Equations Book in PDF, Epub and Kindle
The international workshop on which this proceedings volume is based on brought together leading researchers in the field of elliptic and parabolic equations. Particular emphasis was put on the interaction between well-established scientists and emerging young mathematicians, as well as on exploring new connections between pure and applied mathematics. The volume contains material derived after the workshop taking up the impetus to continue collaboration and to incorporate additional new results and insights.
Author | : Björn E. J. Dahlberg |
Publisher | : |
Total Pages | : 36 |
Release | : 1987 |
Genre | : |
ISBN | : |
Download Non-negative Solutions of the Initial-Dirichlet Problem for Generalized Porous Medium Equations in Cylinders Book in PDF, Epub and Kindle
Author | : C.M. Dafermos |
Publisher | : Elsevier |
Total Pages | : 579 |
Release | : 2004-08-24 |
Genre | : Mathematics |
ISBN | : 0080521827 |
Download Handbook of Differential Equations: Evolutionary Equations Book in PDF, Epub and Kindle
This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous, and in depth surveys on the most important aspects of the present theory. The table of contents includes: W.Arendt: Semigroups and evolution equations: Calculus, regularity and kernel estimates A.Bressan: The front tracking method for systems of conservation laws E.DiBenedetto, J.M.Urbano,V.Vespri: Current issues on singular and degenerate evolution equations; L.Hsiao, S.Jiang: Nonlinear hyperbolic-parabolic coupled systems A.Lunardi: Nonlinear parabolic equations and systems D.Serre:L1-stability of nonlinear waves in scalar conservation laws B.Perthame:Kinetic formulations of parabolic and hyperbolic PDE’s: from theory to numerics
Author | : Chun Wing Sze |
Publisher | : |
Total Pages | : 146 |
Release | : 1992 |
Genre | : Evolution equations, Nonlinear |
ISBN | : |
Download Nonnegative Solutions of the Initial-Neumann Problem for Generalized Porous Medium Equations in Cylinders Book in PDF, Epub and Kindle