Existence and uniqueness for the nonstationary problem of the electrical heating of a conductor due to the Joule-Thomson effect
- Resource Type
- article
- Authors
- Xiangsheng Xu
- Source
- International Journal of Mathematics and Mathematical Sciences, Vol 16, Iss 1, Pp 125-138 (1993)
- Subject
- Joule-Thomson effect
quadratic gradient growth in the nonlinearity
existence
uniqueness.
Mathematics
QA1-939
- Language
- English
- ISSN
- 0161-1712
1687-0425
01611712
Existence of a weak solution is established for the initial-boundary value problem for the system ∂∂tu−div (θ(u)∇u)+σ(u)α(u)∇u∇v=σ(u)|∇v|2, div (σ(u)∇v)=0. The question of uniqueness is also considered in some special cases.