Gardiner, Stephen J.Stephen J.GardinerSjödin, TomasTomasSjödin2014-06-102015-04-232014 Sprin2014-08Archive for Rational Mechanics and Analysishttp://hdl.handle.net/10197/5643It is known that corners of interior angle less than π/2 in the boundary of a plane domain are initially stationary for Hele–Shaw flow arising from an arbitrary injection point inside the domain. This paper establishes the corresponding result for Laplacian growth of domains in higher dimensions. The problem is treated in terms of evolving families of quadrature domains for subharmonic functions.enThe final publication is available at www.springerlink.comMechanicsPhysics, generalTheoretical, Mathematical and Computational PhysicsStatistical Physics, Dynamical Systems and ComplexityFluid- and AerodynamicsJournal Article213250352610.1007/s00205-014-0750-02014-05-30https://creativecommons.org/licenses/by-nc-nd/3.0/ie/