Stationary Boundary Points for a Laplacian Growth Problem in Higher Dimensions
|Title:||Stationary Boundary Points for a Laplacian Growth Problem in Higher Dimensions||Authors:||Gardiner, Stephen J.
|Permanent link:||http://hdl.handle.net/10197/5643||Date:||Aug-2014||Online since:||2015-04-23T03:00:12Z||Abstract:||It 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.||Type of material:||Journal Article||Publisher:||Springer||Journal:||Archive for Rational Mechanics and Analysis||Volume:||213||Issue:||2||Start page:||503||End page:||526||Copyright (published version):||2014 Springer||Keywords:||Mechanics; Physics, general; Theoretical, Mathematical and Computational Physics; Statistical Physics, Dynamical Systems and Complexity; Fluid- and Aerodynamics||DOI:||10.1007/s00205-014-0750-0||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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