## On classical solvability for the Hele-Shaw moving boundary problems with kinetic undercooling regularization

- Yu. E. Hohlov, M. Reissig
- European J. Appl. Math
- 1995

- Published 1995

We consider the classical Hele-Shaw model, describing the flow of an incompressible Newtonian fluid in a gap between two parallel plates. We prove that any compact smooth family {D(t)} of domains in R2 with analytic boundaries can be obtained from D(0) by action of sources/sinks continuously distributed along closed curves. In the case of the zero-surface… CONTINUE READING