APM346-2015S > Web Bonus Problems

Web Bonus Problem 3

(1/1)

Victor Ivrii:
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 $\int_{-\infty}^\infty u\,dx$.

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