Nonlinear Diffusion Equations and Their Equilibrium States, 3

preview-18
  • Nonlinear Diffusion Equations and Their Equilibrium States, 3 Book Detail

  • Author : N.G Lloyd
  • Release Date : 2012-12-06
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 567
  • ISBN 13 : 1461203937
  • File Size : 15,15 MB

Nonlinear Diffusion Equations and Their Equilibrium States, 3 by N.G Lloyd PDF Summary

Book Description: Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = ~cp(U) + f(u). Here ~ denotes the n-dimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x [0, T] in space-time. FUn damental questions concern the existence, uniqueness and regularity of so lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up.

Disclaimer: www.yourbookbest.com does not own Nonlinear Diffusion Equations and Their Equilibrium States, 3 books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Elliptic and Parabolic Problems

Elliptic and Parabolic Problems

File Size : 40,40 MB
Total View : 5940 Views
DOWNLOAD

This Research Note presents some recent advances in various important domains of partial differential equations and applied mathematics including equations and