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

Preface

Ning Ju 1, , Xiaoming Wang 2, and  Jiahong Wu 3,

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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Citation: Ning Ju, Xiaoming Wang, Jiahong Wu. Preface. Discrete & Continuous Dynamical Systems - A, 2010, 26 (4) : i-iii. doi: 10.3934/dcds.2010.26.4i
[1]

Eduard Feireisl, Mirko Rokyta, Josef Málek. Preface. Discrete & Continuous Dynamical Systems - S, 2008, 1 (3) : i-iii. doi: 10.3934/dcdss.2008.1.3i
[2]

Carlos Castillo-Chavez, Gerardo Chowell. Preface. Mathematical Biosciences & Engineering, 2011, 8 (1) : i-vi. doi: 10.3934/mbe.2011.8.1i
[3]

Christian Kanzow, Dong-Hui Li, Nobuo Yamashita. Preface. Numerical Algebra, Control & Optimization, 2011, 1 (1) : i-v. doi: 10.3934/naco.2011.1.1i
[4]

Zhaosheng Feng, Wei Feng. Preface. Discrete & Continuous Dynamical Systems - S, 2014, 7 (6) : i-i. doi: 10.3934/dcdss.2014.7.6i
[5]

P. De Maesschalck, Freddy Dumortier, Martin Wechselberger. Preface. Discrete & Continuous Dynamical Systems - S, 2009, 2 (4) : i-iii. doi: 10.3934/dcdss.2009.2.4i
[6]

Cheng-Chew Lim, Song Wang. Preface. Journal of Industrial & Management Optimization, 2008, 4 (1) : i-ii. doi: 10.3934/jimo.2008.4.1i
[7]

Thorsten Koch, Xiaoling Sun. Preface. Numerical Algebra, Control & Optimization, 2012, 2 (4) : i-ii. doi: 10.3934/naco.2012.2.4i
[8]

Urszula Ledzewicz, Marek Galewski, Andrzej Nowakowski, Andrzej Swierniak, Agnieszka Kalamajska, Ewa Schmeidel. Preface. Discrete & Continuous Dynamical Systems - B, 2014, 19 (8) : i-ii. doi: 10.3934/dcdsb.2014.19.8i
[9]

Vadim Kaloshin, Sergey Lototsky, Michael Röckner. Preface. Discrete & Continuous Dynamical Systems - B, 2006, 6 (4) : i-ii. doi: 10.3934/dcdsb.2006.6.4i
[10]

Eduard Feireisl, Josef Málek, Mirko Rokyta. Preface. Discrete & Continuous Dynamical Systems - S, 2010, 3 (3) : i-ii. doi: 10.3934/dcdss.2010.3.3i
[11]

Chaudry Masood Khalique, Maria Luz Gandarais, Mufid Abudiab. Preface. Discrete & Continuous Dynamical Systems - S, 2018, 11 (4) : i-ii. doi: 10.3934/dcdss.201804i
[12]

Zhouping Xin, Tong Yang. Preface. Discrete & Continuous Dynamical Systems - S, 2016, 9 (6) : i-ii. doi: 10.3934/dcdss.201606i
[13]

Noureddine Alaa, Marc Dambrine, Antoine Henrot, Alain Miranville. Preface. Communications on Pure & Applied Analysis, 2012, 11 (6) : i-ii. doi: 10.3934/cpaa.2012.11.6i
[14]

Wei Kang, Liang Ke, Qi Wang. Preface. Discrete & Continuous Dynamical Systems - B, 2007, 8 (3) : i-i. doi: 10.3934/dcdsb.2007.8.3i
[15]

Ricardo Carretero-González, Jesús Cuevas Maraver, Dimitri J. Frantzeskakis, P.G. Kevrekidis, Faustino Palmero Acebedo. Preface. Discrete & Continuous Dynamical Systems - S, 2011, 4 (5) : i-iii. doi: 10.3934/dcdss.2011.4.5i
[16]

Shengji Li, Nan-Jing Huang, Xinmin Yang. Preface. Numerical Algebra, Control & Optimization, 2011, 1 (3) : i-ii. doi: 10.3934/naco.2011.1.3i
[17]

Avner Friedman, Mirosław Lachowicz, Urszula Ledzewicz, Monika Joanna Piotrowska, Zuzanna Szymanska. Preface. Mathematical Biosciences & Engineering, 2017, 14 (1) : i-i. doi: 10.3934/mbe.201701i
[18]

Baojun Bian, Shanjian Tang, Qi Zhang. Preface. Discrete & Continuous Dynamical Systems - A, 2015, 35 (11) : i-iv. doi: 10.3934/dcds.2015.35.11i
[19]

Zhaosheng Feng, Jinzhi Lei. Preface. Discrete & Continuous Dynamical Systems - B, 2011, 16 (2) : i-iv. doi: 10.3934/dcdsb.2011.16.2i
[20]

Gisèle Ruiz Goldstein, Jerome A. Goldstein, Alain Miranville. Preface. Discrete & Continuous Dynamical Systems - A, 2008, 22 (4) : i-ii. doi: 10.3934/dcds.2008.22.4i

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