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A possible counterexample to well posedness of entropy solutions and to Godunov scheme convergence |
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| Authors: | Volker Elling. |
| Affiliation: | Division of Applied Mathematics, Brown University, 182 George Street, Providence, Rhode Island 02912 |
| Abstract: | A particular case of initial data for the two-dimensional Euler equations is studied numerically. The results show that the Godunov method does not always converge to the physical solution, at least not on feasible grids. Moreover, they suggest that entropy solutions (in the weak entropy inequality sense) are not well posed. |
| Keywords: | Conservation law well posedness entropy solution Riemann problem shock contact discontinuity compressible Euler equations entropy/entropy flux pair |
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