𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Spatial and time localization of solutions of the Boussinesq system with nonlinear thermal diffusion

✍ Scribed by G. Galiano

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
125 KB
Volume
42
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

An Implicit Difference Scheme for the Lo
An Implicit Difference Scheme for the Long-Time Evolution of Localized Solutions of a Generalized Boussinesq System
✍ C.I. Christov; G.A. Maugin πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 568 KB

We consider the nonlinear system of equations built up from a generalized Boussinesq equation coupled with a wave equation which is a model for the one-dimensional dynamics of phases in martensitic alloys. The strongly implicit scheme employing Newton's quasilinearisation allows us to track the long

Global Large Time Self-Similarity of a T
Global Large Time Self-Similarity of a Thermal-Diffusive Combustion System with Critical Nonlinearity
✍ J Bricmont; A Kupiainen; J Xin πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 898 KB

We study the initial value problem of the thermal-diffusive combustion system , for non-negative spatially decaying initial data of arbitrary size and for any positive constant d. We show that if the initial data decay to zero sufficiently fast at infinity, then the solution (u 1 , u 2 ) converges