The bidmensional stefan problem with convection: the time dependent case |
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| Authors: | J. R. Cannon E. DiBenedetto G. H. Knightly |
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| Affiliation: | 1. Washington State University , Pullman, 99164-2930;2. Indiana University , Bloomington, Indiana, 47405;3. University of Massachusetts at Amherst , Massachusetts, 01003 |
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| Abstract: | This paper considers the time dependent stefan problem with convection in the fluid phase governed by the 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. |
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