CAJ | 학술논문

考虑到了在x=0处具有奇性的带耗散项的Burger's方程ut+f(u)x=(g(u)x)的初边值问题整体光滑解的存在性, 利用一个函数变换, 我们将上式转化成一个没有奇性的双曲型方程, 然后应用特征线法, 获得了相应问题的C1-模估计, 从而得到了初边值问题整体光滑解的存在性.
고필도료재x=0처구유기성적대모산항적Burger's방정ut+f(u)x=(g(u)x)적초변치문제정체광활해적존재성, 이용일개함수변환, 아문장상식전화성일개몰유기성적쌍곡형방정, 연후응용특정선법, 획득료상응문제적C1-모고계, 종이득도료초변치문제정체광활해적존재성.
In this paper, we consider the existence of global smooth solution to initial bounday value problem to Burger's equation with sigular dissipationut+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 C1-norm estimates to the corresponding progblem and prove the existence of global smooth solution to the initial boundary value problem.