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math.AP2010
Global Solutions to Bubble Growth in Porous Media
Lavi Karp
We study a moving boundary problem modeling an injected fluid into another viscous fluid. The viscous fluid is withdrawn at infinity and governed by Darcy's law. We present solutio…
math.AP2010
Null quadrature domains and a free boundary problem for the Laplacian
Lavi Karp, Avmir S. Margulis
Null quadrature domains are unbounded domains in () with external gravitational force zero in some generalized sense. In this paper we prove that the complement of…