Existence and uniqueness of the Hele-Shaw problem with injection

Details Existence and uniqueness of the Hele-Shaw problem with injection Existence and uniqueness of the Hele-Shaw problem with injection

2008-10-16

arxiv.org/abs/0810.2979v5

Physics

Mathematical Physics

This submission has been withdrawn by the author. 9 pages

Scientific paper

This paper gives a new and short proof of existence and uniqueness of the
Polubarinova-Galin equation. The existence proof is an application of the main
theorem in Lin's paper. Furthermore, we can conclude that every strong solution
can be approximated by many strong polynomial solutions locally in time.

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