Existence and uniqueness for the nonstationary problem of the electrical heating of a conductor due to the Joule-Thomson effect-Reference-Cited by-同舟云学术

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

Published:1993 Issue:1 Volume:16 Page:125-138
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Xu Xiangsheng¹

Affiliation:

1. Department of Mathematical Sciences, 301 Science-Engineering Building, University of Arkansas, Fayetteville, Arkansas 72701, USA

Abstract

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.

Funder

National Science Foundation

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/1993/872820.pdf

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