Smoothing and Decay Estimates for Nonlinear Diffusion Equations is popular PDF and ePub book, written by Juan Luis Vázquez in 2006-08-03, 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, Smoothing and Decay Estimates for Nonlinear Diffusion Equations can be Read Online from any device for your convenience.
Smoothing and Decay Estimates for Nonlinear Diffusion Equations Book PDF Summary
This text is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as mathematical models in different branches of Physics, Chemistry, Biology, and Engineering, and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on estimates and functional analysis. Concentrating on a class of equations with nonlinearities of power type that lead to degenerate or singular parabolicity ("equations of porous medium type"), the aim of this text is to obtain sharp a priori estimates and decay rates for general classes of solutions in terms of estimates of particular problems. These estimates are the building blocks in understanding the qualitative theory, and the decay rates pave the way to the fine study of asymptotics. Many technically relevant questions are presented and analyzed in detail. A systematic picture of the most relevant phenomena is obtained for the equations under study, including time decay, smoothing, extinction in finite time, and delayed regularity.
Detail Book of Smoothing and Decay Estimates for Nonlinear Diffusion Equations PDF
- Author : Juan Luis Vázquez
- Release : 03 August 2006
- Publisher : OUP Oxford
- ISBN : 9780191525254
- Genre : Mathematics
- Total Page : 248 pages
- Language : English
- PDF File Size : 12,5 Mb
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