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APM346-2015S => APM346--Home Assignments => Web Bonus Problems => Topic started by: Victor Ivrii on January 17, 2015, 08:23:45 AM

Title: Web Bonus Problem 3
Post by: Victor Ivrii on January 17, 2015, 08:23:45 AM
Find a self–similar solution $u$ of
\begin{equation}
u_t = (u u_x)_x  \qquad -\infty<x<\infty , t>0
\label{eq-1}
\end{equation}
with finite $\int_{-\infty}^\infty u\,dx$.