𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Non-linear-System for Non-isothermal Diffusive Phase Separation

✍ Scribed by N. Kenmochi; M. Niezgodka

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
791 KB
Volume
188
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

An evolution system, which extends the Cahn-Hilliard model to non-isothermal situations subject to convex constraints for solutions, is studied. The problem can be considered as representing a simple model of non-isothermal phase separation driven by diffusive mechanisms. A variational formulation of the problem is introduced, using (t)-dependent subdifferential operator techniques in Hilbert spaces. Existence and uniqueness of weak solutions are proved. c 1994 Academic Press. Inc.

πŸ“œ SIMILAR VOLUMES

Hierarchical optimisation for non-linear
Hierarchical optimisation for non-linear dynamical systems with non-separable cost functions
✍ Madan Singh; Mohamed F. Hassan πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 213 KB

In this paper the previous hierarchical optimisation algorithm of Hassan and Singh for non-linear interconnected dynamical systems with separable cost functions is extended to the case of non-linear and non-separable cost functions. This ensures that any decomposition could be used and makes the new

Unwrapping the phase response functions
Unwrapping the phase response functions for non-linear systems
✍ H. Zhang; S.A. Billings πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 731 KB

The higher order phase response functions contain important information about the behaviour of non-linear systems. Unfortunately, simply adopting the linear convention of plotting the phase between 2180Β°produces higher order phase response functions which are virtually impossible to interpret. In th