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Spatial stability of horizontally sheared flow
1.  Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23529, United States, United States 
2.  Department of Mechanical Engineering, University of New Hampshire, Durham, NH 03824, United States 
References:
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References:
[1] 
Raphael Stuhlmeier. Effects of shear flow on KdV balance  applications to tsunami . Communications on Pure & Applied Analysis, 2012, 11 (4) : 15491561. doi: 10.3934/cpaa.2012.11.1549 
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Jiakou Wang, Margaret J. Slattery, Meghan Henty Hoskins, Shile Liang, Cheng Dong, Qiang Du. Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow. Mathematical Biosciences & Engineering, 2006, 3 (4) : 683696. doi: 10.3934/mbe.2006.3.683 
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[4] 
P. Kaplický, Dalibor Pražák. Lyapunov exponents and the dimension of the attractor for 2d shearthinning incompressible flow. Discrete & Continuous Dynamical Systems  A, 2008, 20 (4) : 961974. doi: 10.3934/dcds.2008.20.961 
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Scott Gordon. Nonuniformity of deformation preceding shear band formation in a twodimensional model for Granular flow. Communications on Pure & Applied Analysis, 2008, 7 (6) : 13611374. doi: 10.3934/cpaa.2008.7.1361 
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Eric S. Wright. Macrotransport in nonlinear, reactive, shear flows. Communications on Pure & Applied Analysis, 2012, 11 (5) : 21252146. doi: 10.3934/cpaa.2012.11.2125 
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