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Computing oscillatory solutions of the Euler system via 𝒦-convergence
Mathematical Models and Methods in Applied Sciences ( IF 3.6 ) Pub Date : 2021-03-13 , DOI: 10.1142/s0218202521500123 Eduard Feireisl 1, 2 , Mária Lukáčová–Medvi’ová 3 , Bangwei She 1, 4 , Yue Wang 5
Mathematical Models and Methods in Applied Sciences ( IF 3.6 ) Pub Date : 2021-03-13 , DOI: 10.1142/s0218202521500123 Eduard Feireisl 1, 2 , Mária Lukáčová–Medvi’ová 3 , Bangwei She 1, 4 , Yue Wang 5
Affiliation
We develop a method to compute effectively the Young measures associated to sequences of numerical solutions of the compressible Euler system. Our approach is based on the concept of 𝒦 -convergence adapted to sequences of parameterized measures. The convergence is strong in space and time (a.e. pointwise or in certain L q spaces) whereas the measures converge narrowly or in the Wasserstein distance to the corresponding limit.
中文翻译:
通过𝒦-收敛计算欧拉系统的振荡解
我们开发了一种有效计算与可压缩欧拉系统数值解序列相关的杨氏度量的方法。我们的方法基于以下概念𝒦 -收敛适应参数化措施的序列。在空间和时间上的收敛性很强(ae 逐点或在某些大号 q 空间),而测量值狭窄地收敛或在 Wasserstein 距离内收敛到相应的极限。
更新日期:2021-03-13
中文翻译:
通过𝒦-收敛计算欧拉系统的振荡解
我们开发了一种有效计算与可压缩欧拉系统数值解序列相关的杨氏度量的方法。我们的方法基于以下概念