# A Posteriori Error Estimates for Self-Similar Solutions to the Euler Equations

## Wen Shen, Penn State University

The preprint of the paper has been posted on arXiv, (joint work
with Alberto Bressan).

You can find the preprint at
http://arxiv.org/abs/2002.01962.

The paper is accpeted for publication in DCDS-A, 2020.

Here you can find the codes for numerical simulations
All the numerical simulations are carried out in Matlab.

There are 3 files:

- InitVort.m : the function that
computes the initial vorticity.
- PoissonA.m : compute the stiffness
matrix using a finite difference method
to sove the Poisson equation in 2D, on a rectangle.
- MainRun.m the main code, with the
time-loop, plotting etc.

Here are some sample Figures:
The simulation that results in one single spiral:

The simulation result that contains two spirals:

Wen Shen
Last modified: Thu Feb 13 16:43:04 EST 2020