Abstract：In this paper, we consider the existence of global smooth solution to initial bounday value problem to Burger's equation with sigular dissipationu t+f(u) x=-g(u)x.Applying a function transformation, we transform it into a regular hyperbolic equation. Then, by using the characteristic method, we obtian C 1 norm estimates to the corresponding progblem and prove the existence of global smooth solution to the initial boundary value problem.
收稿日期: 2001-02-25
引用本文:
张鹤丹,徐艳玲. 具有奇异耗散项的Burger''s方程整体光滑解的存在性[J]. , 2001, 40(2): 0-0.
张鹤丹,徐艳玲. Existence of global smooth solution to Burger''s equation with singular dissipation. , 2001, 40(2): 0-0.
