Existence of weak solutions for the mullins-sekerka flow

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Abstract

We prove the long-time existence of solutions for the Mullins- Sekerka flow. We use a time discrete approximation which was introduced by Luckhaus and Sturzenhecker [Calc. Var. PDE 3 (1995)] and pass in a new weak formulation to the limit.

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Röger, M. (2007). Existence of weak solutions for the mullins-sekerka flow. In International Series of Numerical Mathematics (Vol. 154, pp. 361–368). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-7643-7719-9_35

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