6 papers
p-Laplacian wave equations in non-cylindrical domains
Lingyang Liu, Hang Gao
This paper is devoted to studying the stability of p-Laplacian wave equations with strong damping in non-cylindrical domains. The method of proof based on some estimates for time-v…
The stabilization of wave equations with moving boundary
Lingyang Liu, Hang Gao
In this paper, we consider the stabilization of wave equations with moving boundary. First, we show the solution behaviour of wave equation with Neumann boundary conditions, that i…
A note on damped wave equations with a nonlinear dissipation in non-cylindrical domains
Lingyang Liu
In this paper, we study the large time behavior of a class of wave equation with a nonlinear dissipation in non-cylindrical domains. The result we obtained here relaxes the conditi…
Logarithmic wave equations in non-cylindrical domains
Lingyang Liu
This paper is devoted to studying a type of logarithmic wave equation in non-cylindrical domains. Firstly, by the penalty method, we prove the existence of weak solutions to such k…
Solitons and breathers for nonisospectral mKdV equation with Darboux transformation
Ling-Jun Liu, Xin Yu
Under investigation in this paper is the nonisospectral and variable coefficients modified Kortweg-de Vries (vc-mKdV) equation, which manifests in diverse areas of physics such as…
Darboux Transformation for the Nonisospectral and Variable-coefficient KdV Equation
Ling-Jun Liu, Xin Yu
With the nonuniform media taken into account, the nonisospectral and variable-coefficient Korteweg-de Vries equation, which describes various physical situations such as fluid dyna…