Semigroups Associated with Dissipative Systems

Released on by Z Liu
preview-18

  • Semigroups Associated with Dissipative Systems Book Detail

  • Author : Z Liu
  • Release Date : 1999-01-29
  • Publisher : CRC Press
  • Genre : Mathematics
  • Pages : 228
  • ISBN 13 : 9780849306150
  • File Size : 84,84 MB
DOWNLOAD BOOK

Semigroups Associated with Dissipative Systems by Z Liu PDF Summary

Book Description: Motivated by applications to control theory and to the theory of partial differential equations (PDE's), the authors examine the exponential stability and analyticity of C0-semigroups associated with various dissipative systems. They present a unique, systematic approach in which they prove exponential stability by combining a theory from semigroup theory with partial differential equation techniques, and use an analogous theorem with PDE techniques to prove analyticity. The result is a powerful but simple tool useful in determining whether these properties will preserve for a given dissipative system. The authors show that the exponential stability is preserved for all the mechanical systems considered in this book-linear, one-dimensional thermoelastic, viscoelastic and thermoviscoelastic systems, plus systems with shear or friction damping. However, readers also learn that this property does not hold true for linear three-dimensional systems without making assumptions on the domain and initial data, and that analyticity is a more sensitive property, not preserved even for some of the systems addressed in this study.

Disclaimer: www.yourbookbest.com does not own Semigroups Associated with Dissipative Systems 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.

Asymptotic Behavior of Dissipative Systems

Asymptotic Behavior of Dissipative Systems

File Size : 78,78 MB
Total View : 4770 Views
DOWNLOAD

This monograph reports the advances that have been made in the area by the author and many other mathematicians; it is an important source of ideas for the rese