We study for plane Poiseuille flow how the presence of a compliant coating may affect the nonlinear evolution near the threshold of instability. A new long wave mode is generated when the surface is allowed to move: this might change the nature of the instability (supercritical instead of subcritical).
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Department of Mathematics, Quaid-i-Azam University 45320,Islamabad 44000, Pakistan
Department of Mathematics, Faculty of Science, King Abdulaziz UniversityDepartment of Mathematics, Quaid-i-Azam University 45320,Islamabad 44000, Pakistan
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Department of Mathematics, Faculty of Science, King Abdulaziz UniversityDepartment of Mathematics, Quaid-i-Azam University 45320,Islamabad 44000, Pakistan