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Finite-time singularity formation for the original multidimensional compressible Euler equations for generalized Chaplygin gas
Zeitschrift für angewandte Mathematik und Physik ( IF 1.7 ) Pub Date : 2020-03-11 , DOI: 10.1007/s00033-020-1287-8 Ka Luen Cheung , Sen Wong
中文翻译:
广义Chaplygin气体原始多维可压缩Euler方程的有限时间奇异性形成
更新日期:2020-03-11
Zeitschrift für angewandte Mathematik und Physik ( IF 1.7 ) Pub Date : 2020-03-11 , DOI: 10.1007/s00033-020-1287-8 Ka Luen Cheung , Sen Wong
It is shown that singularity will be developed in finite time for the original (without symmetry) multidimensional compressible Euler equations for generalized Chaplygin gas if the initial momentum is sufficiently strong and an initial averaged quantity is nonnegative.
中文翻译:
广义Chaplygin气体原始多维可压缩Euler方程的有限时间奇异性形成
结果表明,如果初始动量足够强且初始平均量非负,则对于广义Chaplygin气体,原始(无对称性)多维可压缩Euler方程将在有限时间内发展出奇点。