Toronto Math Forum
APM3462015S => APM346Home Assignments => Web Bonus Problems => Topic started by: Victor Ivrii on January 17, 2015, 08:23:45 AM

Find a selfâ€“similar solution $u$ of
\begin{equation}
u_t = (u u_x)_x \qquad \infty<x<\infty , t>0
\label{eq1}
\end{equation}
with finite $\int_{\infty}^\infty u\,dx$.