Global attractor for the generalized hyperelastic-rod equation
Global attractor for the generalized hyperelastic-rod equation
Abstract In this paper, we investigate the dynamical behavior of the initial boundary value problem for a class of generalized hyperelastic-rod equations. Under certain conditions, the existence of a global solution in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>H</mml:mi> <mml:mn>3</mml:mn> </mml:msup> </mml:math> is proved by using some prior estimates and the Galerkin method. …