某类拟线性Burger型方程的波前解的稳定性

摘要

This paper is concerned with the existence and stability of travelling fronts for some quasilinear Burgers-type equations with nonlinear saturating dissipation. By spectral analysis, the asymptotic stability of the smooth travelling fronts in some weighted spaces is proved.%本文研究了一些拟线性Burgers型方程的波前解的存在性、稳定性,利用谱分析的方法,证明了光滑波前解在某些加权空间中的渐近稳定性.