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The Stefan Problem with Nonlinear Convection |
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| Authors: | Wang Xuefeng |
| 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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