Hobbies
In my spare time, I play badminton and harmonica.
I also enjoy playing with computer generated art.
Annimation
Fig. A yinyang made by MATLAB.
Example of Hamilton-Jacobi equations in one dimension: time dependent case
$$
\begin{cases}
u_t + \sin(x)u_x &=0 \qquad\qquad\qquad x \in (0,2\pi),t>0, \label{eq:1}\\
\qquad\quad u(x,0) &= \sin(x) \qquad\qquad x \in (0,2\pi), \\
\qquad\;\quad u(0,t) &= u(2\pi,t) = 0.
\end{cases} \tag{Ex.1}
$$
Fig. Evolution of solution to \eqref{eq:1}.