Time periodic solution of the viscous Camassa–Holm equation

On the Backwards Behavior of the Solutions of the 2D Periodic Viscous CamassaHolm Equations

Time-Periodic Solution of the Weakly Dissipative Camassa-Holm Equation

Time Periodic Solutions for a Viscous Diffusion Equation with Nonlinear Periodic Sources

This work is supported by National Natural Science Foundation of China, Specialized Research Fund for the Doctoral Program of Higher Education, 973 Program (2010CB808002) , China Postdoctoral Science Foundation and the Fundamental Research Funds for the Central Universities. Emails: Y. Li: [email protected], J. Yin: [email protected], Y. Wang: [email protected] Corresponding author. Email: ma...

Nonlinear stability of time-periodic viscous shocks

In order to understand the nonlinear stability of many types of time-periodic travelling waves on unbounded domains, one must overcome two main difficulties: the presence of embedded neutral eigenvalues and the time-dependence of the associated linear operator. This problem is studied in the context of timeperiodic Lax shocks in systems of viscous conservation laws. Using spatial dynamics and a...

Periodic solution for a delay nonlinear population equation with feedback control and periodic external source

In this paper, sufficient conditions are investigated for the existence of periodic (not necessarily positive) solutions for nonlinear several time delay population system with feedback control. Nonlinear system affected by an periodic external source is studied. Existence of a control variable provides  the extension of  some previous results obtained in other studies. We give a illustrative e...