论文标题
非线性波动运动的稳定性受时间依赖性摩擦阻尼
Stability for nonlinear wave motions damped by time-dependent frictions
论文作者
论文摘要
我们关注的是，对于随时间变化的阻尼和非凸电势的半线性波系统解决方案的动态行为。我们的结果表明，解决方案的动力学行为在没有任何分叉和混乱的情况下渐近稳定。它是阻尼系数的鲜明条件，使溶液会收敛到某些平衡。为了说明我们的理论结果，我们提供了一些数值模拟，用于耗时正弦方程和耗散性的klein-gordon方程。
We are concerned with the dynamical behavior of solutions to semilinear wave systems with time-varying damping and nonconvex force potential. Our result shows that the dynamical behavior of solution is asymptotically stable without any bifurcation and chaos. And it is a sharp condition on the damping coefficient for the solution to converge to some equilibrium. To illustrate our theoretical results, we provide some numerical simulations for dissipative sine-Gordon equation and dissipative Klein-Gordon equation.
