论文标题
二维汉堡方程的径向对称固定波
Radially Symmetric Stationary Wave for Two-dimensional Burgers Equation
论文作者
论文摘要
我们关注二维汉堡方程外部问题的径向对称固定波。给出了足够且必要的条件,以确保存在这种固定波的存在,还表明这种固定波满足了良好的衰减估计值,并且在径向对称的扰动下是时间呈异化的非线性稳定。
We are concerned with the radially symmetric stationary wave for the exterior problem of two-dimensional Burgers equation. A sufficient and necessary condition to guarantee the existence of such a stationary wave is given and it is also shown that such a stationary wave satisfies nice decay estimates and is time-asymptotically nonlinear stable under radially symmetric perturbation.