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新疆大学数学与系统科学学院
Published:2023
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[1]辛晓庆,郭俐辉.广义Chaplygin气体Aw-Rascle交通流方程组解奇异性的形成[J].新疆大学学报(自然科学版)(中英文),2023,40(04):422-432.
[1]辛晓庆,郭俐辉.广义Chaplygin气体Aw-Rascle交通流方程组解奇异性的形成[J].新疆大学学报(自然科学版)(中英文),2023,40(04):422-432. DOI: 10.13568/j.cnki.651094.651316.2022.12.09.0002.
DOI:10.13568/j.cnki.651094.651316.2022.12.09.0002.
研究了广义Chaplygin气体Aw-Rascle交通流方程组经典解奇异性的形成.利用特征分解方法
当初值满足一定条件时
证明了交通流模型柯西问题经典解的密度本身在有限时间内会发生爆破.此外
通过数值模拟对该物理现象进行了验证.
The formation of singularities in the classical solutions to the Aw-Rascle traffic flow system with generalized Chaplygin gas is studied. By using the method of characteristic decomposition
we prove that the density itself of the classical solutions of the Cauchy problem for the traffic flow model will blow up in finite time when the initial data meets certain conditions. Additionally
this physical phenomenon is verified by numerical simulation.
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