Abstract
In this note, the existence problem of symmetric 3-dimenensional finger solutions of Mullins-Sekerka equation is studied. The finger solutions are traveling wave solutions whose finger-shaped interfaces are moving along a certain direction at a constant speed within a cylindrical domain. The existence of finger solutions is shown through a fixed point argument of the Hilbert Transformation.
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Su, J., Tran, B.L. (2002). On the Existence of Symmetric Three Dimensional Finger Solutions. In: Chan, T.F., Huang, Y., Tang, T., Xu, J., Ying, LA. (eds) Recent Progress in Computational and Applied PDES. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0113-8_22
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DOI: https://doi.org/10.1007/978-1-4615-0113-8_22
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