数学物理学报(英文版) ›› 2003, Vol. 23 ›› Issue (4): 567-.
• 论文 • 上一篇
丁夏畦, 丁毅
DING Jia-Qi, DING Yi
摘要:
In [1], Ding et al. studied the nonhomogeneous Burgers equation
$$ u_t+uu_x=\mu u_{xx}+4x.\eqno{(1.1)}$$
This paper will
prove that when $\mu\to 0$ the solution of (1.1) will approach the
generalized solution of
$$ u_t+uu_x=4x.\eqno{(1.2)}$$
The authors notice that the equation (1.2) is beyond the scope of
investigations by Oleinik O. in [2]. The solutions here are
unbounded in general.
The paper also studies the $\d$-wave phenomenon when (1.2) is jointed with
some other equation.
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