. I also make the fundamental
solution of the heat equation with same mass. Please see the following
movie and you will find the difference about the decay order, regularity
and the propagation of solutions :-)
I study how to make movie file. Using ffmpeg, I can make movie file from some JPEG files. Then I decide to make the movie about the evolution of the explicit solution of the porous medium equation, called the Barenblatt solution. I make the figure of graphs by using gnuplot.
The example of the porous medium equation is . I also make the fundamental
solution of the heat equation with same mass. Please see the following
movie and you will find the difference about the decay order, regularity
and the propagation of solutions :-)