July  2012, 11(4): i-iii. doi: 10.3934/cpaa.2012.11.4i

Introduction to the special issue on hydrodynamic model equations

1. 

University of Vienna, Fakultät für Mathematik, Nordbergstraße 15, 1090 Vienna

2. 

Institute for Applied Mathematics, Leibniz University of Hanover, D-30167 Hanover

Received  December 2011 Revised  December 2011 Published  January 2012

The increased interest in water wave theory over the last decade has been motivated, arguably, by two themes: rst, noticeable progress in the investigation of the governing equations for water waves (well-posedness issues, as well as in-depth qualitative studies of regular wave patterns{see the discussion and the list of references in [1, 17], respectively in [9]), and secondly, by the derivation and study of various model equations that, although simpler, capture with accuracy the prominent features of the governing equations in a certain physical regime. The two themes are intertwined with one another.
Citation: Adrian Constantin, Joachim Escher. Introduction to the special issue on hydrodynamic model equations. Communications on Pure & Applied Analysis, 2012, 11 (4) : i-iii. doi: 10.3934/cpaa.2012.11.4i
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