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Volume 5, Issue 4
The Stefan Problem with Nonlinear Convection

Wang Xuefeng

J. Part. Diff. Eq.,5(1992),pp.66-86

Published online: 1992-05

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  • Abstract
In this paper, we consider the time dependent Stefan problem with convection in the fluid phase governed by the Navier-Stokes equation and with adherence of the fluid on the lateral boundaries. The existence of a weak solution is obtained via the introduction of a temperature dependent penalty term in the fluid flow equation, together with the application of various compactness arguments.
  • Keywords

Stefan problem nonlinear convection penalty method compactness arguments

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@Article{JPDE-5-66, author = {Wang Xuefeng}, title = {The Stefan Problem with Nonlinear Convection}, journal = {Journal of Partial Differential Equations}, year = {1992}, volume = {5}, number = {4}, pages = {66--86}, abstract = { In this paper, we consider the time dependent Stefan problem with convection in the fluid phase governed by the Navier-Stokes equation and with adherence of the fluid on the lateral boundaries. The existence of a weak solution is obtained via the introduction of a temperature dependent penalty term in the fluid flow equation, together with the application of various compactness arguments.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5755.html} }
TY - JOUR T1 - The Stefan Problem with Nonlinear Convection AU - Wang Xuefeng JO - Journal of Partial Differential Equations VL - 4 SP - 66 EP - 86 PY - 1992 DA - 1992/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5755.html KW - Stefan problem KW - nonlinear convection KW - penalty method KW - compactness arguments AB - In this paper, we consider the time dependent Stefan problem with convection in the fluid phase governed by the Navier-Stokes equation and with adherence of the fluid on the lateral boundaries. The existence of a weak solution is obtained via the introduction of a temperature dependent penalty term in the fluid flow equation, together with the application of various compactness arguments.
Wang Xuefeng. (1970). The Stefan Problem with Nonlinear Convection. Journal of Partial Differential Equations. 5 (4). 66-86. doi:
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