一类非线性发展方程的Cauchy问题

The Initial Value Problem of Nonlinear Evolution Equation

研究了受迫KdV-Burgers方程Cauchy问题解的唯一性、稳定性以及该问题解的blow-up性质。

This paper discusses the initial value problem of the nonlinear evolution equation. The uniqueness and stability of the solutions for the problem are proved. It is also obtained that the solution of the problem blows up in a finite time.