On contact discontinuities in multi-dimensional isentropic Euler equations

On contact discontinuities in multi-dimensional isentropic Euler equations
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DOI:
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发表时间:
2017-07
期刊:
arXiv: Analysis of PDEs
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通讯作者:
Jan Bvrezina;Elisabetta Chiodaroli;O. Kreml
Jan Bvrezina;Elisabetta Chiodaroli;O. Kreml
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作者:
Jan Bvrezina;Elisabetta Chiodaroli;O. Kreml

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本文部分推广了最近关于二维可压缩等熵Euler方程Riemann问题容许弱解的非唯一性结果。我们证明了非唯一性的容许弱解,从黎曼初始数据允许接触不连续出现。
In this short note we partially extend the recent nonuniqueness results on admissible weak solutions to the Riemann problem for the 2D compressible isentropic Euler equations. We prove nonuniqueness of admissible weak solutions that start from the Riemann initial data allowing a contact discontinuity to emerge.