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Existence and uniqueness for the nonstationary problem of the electrical heating of a conductor due to the Joule-Thomson effect

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  • Xiangsheng Xu

Abstract

Existence of a weak solution is established for the initial-boundary value problem for the system ∂ ∂ t u − 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.

Suggested Citation

  • Xiangsheng Xu, 1993. "Existence and uniqueness for the nonstationary problem of the electrical heating of a conductor due to the Joule-Thomson effect," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 16, pages 1-14, January.
    • Handle: RePEc:hin:jijmms:872820
    DOI: 10.1155/S0161171293000158
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