University of Chicago, Visiting scholar

The present article contains a numerical study of the stability of steady solutions of the Whitham equation and the re- sults indicate that periodic wave solutions are stable

As former multi-ethnic major empires collapsed and new states emerged, the power balance and spheres of influence in the Middle East were also completely overturned (San Remo

In this paper, we consider the stability theory on the solitary wave solutions of the generalized Boussinesq equation and aim to show its instability in the degenerate cases without

Zheng: Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data.. Zheng: Rarefactive solutions to a

Wahl´ en , On the existence and stability of solitary-wave solutions to a class of evolution equations of Whitham type, Nonlinear- ity, 25 (2012), pp.. Claassen , Existence of a

uniqueness, distributional solutions, nonlinear degenerate diffusion, porous medium equation, Stefan problem, fractional Laplacian, nonlocal operators, existence, stability,

However, the decaying solitary wave solutions of (1.2) do not have the explicit simple form they have for equation (1.1). In order to describe the α-dissipative

Additionally, we use the Crandall-Rabinowitz local bifurcation theorem to prove the existence of periodic traveling waves to our nonlinear-nonlocal