October  2010, 26(4): i-iii. doi: 10.3934/dcds.2010.26.4i

Preface

1. 

Department of Mathematics, Oklahoma State University, 401 Mathematical Sciences, Stillwater, OK 74078

2. 

Department of Mathematics, Florida State University, 1017 Academic Way, Tallahassee, FL 32306-4510

3. 

Department of Mathematics, Oklahoma State University, Stillwater, OK 74078

Published  December 2009

Fluid phenomena are ubiquitous ranging from small scale blood flows in our body to large scale geophysical flows such as the Gulf Stream. The understanding of these phenomena is crucial to many applied areas such as meteorology, oceanography and aerospace industry. Partial Differential Equations (PDEs) are the most fundamental tools in studying fluid phenomena. This special issue of Discrete and Continuous Dynamical Systems is devoted to the analysis and numerics of partial differential equations (PDEs) modeling fluids and complex fluids. It consists of twenty-one papers from invited speakers of a special sessions in the 7th AIMS Conference on Dynamical Systems and Differential Equations held at the University of Texas at Arlington, Texas, May 18 - 21, 2008.
   Topics covered by this collection of papers include the analysis and computations of solutions of PDEs modeling surface water waves, Navier-Stokes Equations and related ones including those modeling complex fluids and large scale geophysical flows. Some other related issues in fluid dynamics are also touched. The papers in this special issue are not grouped according to their topics but instead ordered alphabetically by the names of the first authors.

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