Convergence of thin vibrating rods to a linear beam equation

Convergence of iterative methods applied to Burgers-Huxley equation

A. Ascanelli and M. Cicognani GEVREY SOLUTIONS FOR A VIBRATING BEAM EQUATION

We consider the Cauchy problem for the Euler-Bernoulli equation of the vibrating beam and solve it in Gevrey classes under appropriate Levi conditions on the lower order terms.

On convergence of homotopy analysis method to solve the Schrodinger equation with a power law nonlinearity

In this paper, the homotopy analysis method (HAM) is considered to obtain the solution of the Schrodinger equation with a power law nonlinearity. For this purpose, a theorem is proved to show the convergence of the series solution obtained from the proposed method. Also, an example is solved to illustrate the eciency of the mentioned algorithm and the h-curve is plotted to determine the region ...

Convergence of a Kinetic Equation to a Fractional Diffusion Equation

The understanding of thermal conductance in both classical and quantum mechanical systems is one of the fundamental problems of non-equilibrium statistical mechanics. A particular aspect that has attracted much interest is the observation that autonomous translation invariant systems in dimensions one and two exhibit anomalously large conductivity. The canonical example here is a chain of anhar...

Convergence of Equilibria of Thin Elastic Rods under Physical Growth Conditions for the Energy Density

The subject of this paper is the study of the asymptotic behaviour of the equilibrium configurations of a nonlinearly elastic thin rod, as the diameter of the cross-section tends to zero. Convergence results are established assuming physical growth conditions for the elastic energy density and suitable scalings of the applied loads, that correspond at the limit to different rod models: the cons...