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Volume 7, Issue 1
Existence of a Weak Solution for the Phase Change Problem with Joule's Heating

Yuan Guangwei

J. Part. Diff. Eq.,7(1994),pp.35-48

Published online: 1994-07

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  • Abstract
A phase change problem with Joule's heat ing describes tbe processes of electric heating in a conducting material. It is modeled as a coupled system of nonlinear partial differential equations with quadratic growth in the gradient. We establish the existence of a weak solution for the problem in two dimensions.
  • Keywords

phase change system of nonlinear partial differential equations quadratic growth

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@Article{JPDE-7-35, author = {Yuan Guangwei}, title = {Existence of a Weak Solution for the Phase Change Problem with Joule's Heating}, journal = {Journal of Partial Differential Equations}, year = {1994}, volume = {7}, number = {1}, pages = {35--48}, abstract = { A phase change problem with Joule's heat ing describes tbe processes of electric heating in a conducting material. It is modeled as a coupled system of nonlinear partial differential equations with quadratic growth in the gradient. We establish the existence of a weak solution for the problem in two dimensions.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5671.html} }
TY - JOUR T1 - Existence of a Weak Solution for the Phase Change Problem with Joule's Heating AU - Yuan Guangwei JO - Journal of Partial Differential Equations VL - 1 SP - 35 EP - 48 PY - 1994 DA - 1994/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5671.html KW - phase change KW - system of nonlinear partial differential equations KW - quadratic growth AB - A phase change problem with Joule's heat ing describes tbe processes of electric heating in a conducting material. It is modeled as a coupled system of nonlinear partial differential equations with quadratic growth in the gradient. We establish the existence of a weak solution for the problem in two dimensions.
Yuan Guangwei. (1994). Existence of a Weak Solution for the Phase Change Problem with Joule's Heating. Journal of Partial Differential Equations. 7 (1). 35-48. doi:
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