http://hdl.handle.net/10453/146 2013-05-23T13:10:53Z http://hdl.handle.net/10453/11782 Electro/Magneto-Sensitive Elastomers and Lagrangian Electro/Magneto-Statics Vertechy R; Castelli V; Waldron Kenneth NA 2004-01-01T00:00:00Z http://hdl.handle.net/10453/8320 Asymptotics of the global solutions for a nonlinear telegraph equation Wu Yonghong; Lai Shaoyong; Zhang Guangquan In this paper, we consider an initial-boundary value problem for the following nonlinear telegraph equation Utt - U xx + 2au, + bu = f3(u 2 )xx, where t > 0, a, band (3 are constants. For the case b > a2 , we establish a global solution of the equation in the form of a Fourier series. The coefficients of the series are related to a small parameter present in the initial conditions and are expressed as uniformly convergent series of the parameter. The long time asymptotics of the global solution is found to decay exponentially in time. 2003-01-01T00:00:00Z http://hdl.handle.net/10453/8315 A Newton-GMRES Approach for the Analysis of the Postbuckling Behavior of the Solutions of the von Karman Equations Dossou Kokou; Pierre Roger We propose a Newton-GMRES¿type algorithm to solve the discrete von Karman problem. We show that this algorithm is efficient both in memory andcomputation time and robust in the neighborhood of the singular points of the bifurcation diagrams. Placing ourselves in the context of the Schaeffer and Golubitsky theory, we use this algorithm to study the postbuckling behavior of a rectangular plate clamped and compressed along its four sides. 2003-01-01T00:00:00Z http://hdl.handle.net/10453/8312 Analogues of two classical theorems onthe representations of a number Melham Ray 2008-01-01T00:00:00Z