# American Institute of Mathematical Sciences

December  2005, 4(4): 757-762. doi: 10.3934/cpaa.2005.4.757

## Some special solutions of the multidimensional Euler equations in $R^N$

 1 Department of Mathematics, Stanford University, Stanford, CA 94305, United States

Received  January 2005 Revised  May 2005 Published  September 2005

In this paper we give some special solutions, including some blow-up solutions, to the multi-dimensional Euler equations for compressible gas dynamics. We also show that finite energy implies nonexistence of $\delta$-function blow-up for $\gamma>1$.
Citation: Tianhong Li. Some special solutions of the multidimensional Euler equations in $R^N$. Communications on Pure and Applied Analysis, 2005, 4 (4) : 757-762. doi: 10.3934/cpaa.2005.4.757
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