Degenerate Diffusions is popular PDF and ePub book, written by Panagiota Daskalopoulos in 2007, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Degenerate Diffusions can be Read Online from any device for your convenience.
Degenerate Diffusions Book PDF Summary
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
Detail Book of Degenerate Diffusions PDF
- Author : Panagiota Daskalopoulos
- Release : 01 July 2024
- Publisher : European Mathematical Society
- ISBN : 3037190337
- Genre : Mathematics
- Total Page : 216 pages
- Language : English
- PDF File Size : 11,9 Mb
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