Finite-dimensional model of thermal instability

✍ Scribed by M.L. Frankel; V. Roytburd

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 338 KB
• Volume: 8
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/0893-9659(95)00008-e

✦ Synopsis

Using the collocation method, we derive a finite-dimensional (3-D) dynamical system whose dynamics mimic behavior of a free boundary problem for the heat equation that describes solid combustion and some phase transitions and has been shown to develop complex dynamical patterns. Numerical simulations on the 3-D system demonstrate a variety of dynamical scenarios depending on boundary kinetic functions inherited from the original problem. The multitude of nontrivial dynamical features as well as a clear physical origin of the system make it interesting in its own right.