On a Boussinesq Capillarity System: Hamiltonian Reductions and Associated Quartic Geometries. Issue 1 (23rd May 2013)

• Record Type: Journal Article
• Authors: Rogers, C.; Schief, W. K.
• Is Part Of: Studies in applied mathematics. Volume 132:Issue 1(2014)
• Page Start: 1
• Page End: 12
• Publication Date: 2013-05-23
• Subjects: Mathematics -- Periodicals; Mathématiques -- Périodiques; Mathématique; Mathématique appliquée; Ressource Internet (Descripteur de forme); Périodique électronique (Descripteur de forme); 519
• DOI: 10.1111/sapm.12017
• Languages: English
• ISSNs: 0022-2526

Abstract

<abstract abstract-type="main"> <title> <x xml:space="preserve">Abstract</x> </title> <p>A nonlinear Boussinesq‐type capillarity model system is shown to admit exact reductions to coupled Hamiltonian subsystems associated with time‐modulated quartic density distributions. In particular, in 3+1 dimensions, time‐modulated "red blood cell" geometries for the density distribution are isolated.</p> </abstract>