[PDF][PDF] Existence and uniqueness for the nonstationary problem of the electrical heating of a conductor due to the joule-Thomson effect
X Xu - … Journal of Mathematics and Mathematical Sciences, 1993 - kurims.kyoto-u.ac.jp
International Journal of Mathematics and Mathematical Sciences, 1993•kurims.kyoto-u.ac.jp
… Problem (1.1) may be proposed as a model for the electrical heating of a conductor
resulted from Thomson’s effect and Joule’s heating; see [1]. In this situation, u is the
temperature of the conductor and v the effective potential. Equation (1.1b) represents the
conservation ofcharge, while (1.1a) says that there are two types of … We also consider the
question of uniqueness, but we are only ableto show that the …
resulted from Thomson’s effect and Joule’s heating; see [1]. In this situation, u is the
temperature of the conductor and v the effective potential. Equation (1.1b) represents the
conservation ofcharge, while (1.1a) says that there are two types of … We also consider the
question of uniqueness, but we are only ableto show that the …
Abstract
Existence of a weak solution is established for the initial-boundary value problem for the system ff-iut-div (O (u) 7u)+ r (u) a (u) TuTv= a (u)] Tvl2, div (a (u) Vv)= O. The question of uniqueness is also considered in some special cases.
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