El Hajj, Ahmad; Ibrahim, Hassan; Rizik, Vivian Global discontinuous solution for \(1D\) isentropic gas dynamics system. (English) Zbl 1490.35266 Commun. Math. Sci. 19, No. 5, 1451-1459 (2021). MSC: 35Q31 35A01 35D40 35F20 35L40 76G25 76N10 PDF BibTeX XML Cite \textit{A. El Hajj} et al., Commun. Math. Sci. 19, No. 5, 1451--1459 (2021; Zbl 1490.35266) Full Text: DOI OpenURL
Bressan, Alberto; Shen, Wen Entropy admissibility of the limit solution for a nonlocal model of traffic flow. (English) Zbl 1486.35292 Commun. Math. Sci. 19, No. 5, 1447-1450 (2021). Reviewer: Evgeniy Panov (Veliky Novgorod) MSC: 35L65 35L45 35R09 76A30 35B20 PDF BibTeX XML Cite \textit{A. Bressan} and \textit{W. Shen}, Commun. Math. Sci. 19, No. 5, 1447--1450 (2021; Zbl 1486.35292) Full Text: DOI arXiv OpenURL
Choi, Young-Pil; Pignotti, Cristina Exponential synchronization of Kuramoto oscillators with time delayed coupling. (English) Zbl 1476.34094 Commun. Math. Sci. 19, No. 5, 1429-1445 (2021). MSC: 34C15 34D05 92D25 PDF BibTeX XML Cite \textit{Y.-P. Choi} and \textit{C. Pignotti}, Commun. Math. Sci. 19, No. 5, 1429--1445 (2021; Zbl 1476.34094) Full Text: DOI arXiv OpenURL
Epshteyn, Yekaterina; Liu, Chun; Mizuno, Masashi Large time asymptotic behavior of grain boundaries motion with dynamic lattice misorientations and with triple junctions drag. (English) Zbl 1484.34114 Commun. Math. Sci. 19, No. 5, 1403-1428 (2021). MSC: 34C60 74N15 34D05 34C05 PDF BibTeX XML Cite \textit{Y. Epshteyn} et al., Commun. Math. Sci. 19, No. 5, 1403--1428 (2021; Zbl 1484.34114) Full Text: DOI arXiv OpenURL
Zhang, Qinglong; Sheng, Wancheng; Zheng, Yuxi Interaction of the elementary waves for shallow water equations with discontinuous topography. (English) Zbl 1479.35560 Commun. Math. Sci. 19, No. 5, 1381-1402 (2021). MSC: 35L60 35L65 35L67 35L80 35Q35 35R35 PDF BibTeX XML Cite \textit{Q. Zhang} et al., Commun. Math. Sci. 19, No. 5, 1381--1402 (2021; Zbl 1479.35560) Full Text: DOI arXiv OpenURL
Wang, Xiaohui The existence of compressible subsonic impinging jet flow in an arbitrary nozzle. (English) Zbl 1490.35289 Commun. Math. Sci. 19, No. 5, 1347-1380 (2021). MSC: 35Q31 76G25 PDF BibTeX XML Cite \textit{X. Wang}, Commun. Math. Sci. 19, No. 5, 1347--1380 (2021; Zbl 1490.35289) Full Text: DOI OpenURL
Wang, Fan; Yin, Silu Global solutions of 3D tropical climate model with finite energy. (English) Zbl 1497.35395 Commun. Math. Sci. 19, No. 5, 1337-1345 (2021). MSC: 35Q35 35Q86 35D35 35B65 35A01 35A02 76D03 86A10 86A08 PDF BibTeX XML Cite \textit{F. Wang} and \textit{S. Yin}, Commun. Math. Sci. 19, No. 5, 1337--1345 (2021; Zbl 1497.35395) Full Text: DOI OpenURL
Li, Lei; Wang, Dongling Complete monotonicity-preserving numerical methods for time fractional ODEs. (English) Zbl 1477.65109 Commun. Math. Sci. 19, No. 5, 1301-1336 (2021). MSC: 65L05 34A08 45E10 65L20 PDF BibTeX XML Cite \textit{L. Li} and \textit{D. Wang}, Commun. Math. Sci. 19, No. 5, 1301--1336 (2021; Zbl 1477.65109) Full Text: DOI arXiv OpenURL
Gong, Huajun; Huang, Tao; Wang, Changyou Existence of global weak solutions to the compressible Ericksen-Leslie system in dimension one. (English) Zbl 1497.35370 Commun. Math. Sci. 19, No. 5, 1269-1300 (2021). MSC: 35Q35 35D30 35K55 76A15 PDF BibTeX XML Cite \textit{H. Gong} et al., Commun. Math. Sci. 19, No. 5, 1269--1300 (2021; Zbl 1497.35370) Full Text: DOI arXiv OpenURL
Lin, Xiuxiu; Chen, Yanping; Huang, Yunqing Galerkin spectral methods for an elliptic optimal control problem with \(L^2\)-norm state constraint. (English) Zbl 1475.65044 Commun. Math. Sci. 19, No. 5, 1247-1267 (2021). MSC: 65K10 65N35 49J20 49M41 PDF BibTeX XML Cite \textit{X. Lin} et al., Commun. Math. Sci. 19, No. 5, 1247--1267 (2021; Zbl 1475.65044) Full Text: DOI OpenURL
Chen, Yazhou; Hong, Hakho; Shi, Xiaoding Stability of degenerate stationary solution to the outflow problem for full Navier-Stokes equations. (English) Zbl 1497.35342 Commun. Math. Sci. 19, No. 5, 1233-1246 (2021). MSC: 35Q30 35B35 35B40 76N06 76N30 PDF BibTeX XML Cite \textit{Y. Chen} et al., Commun. Math. Sci. 19, No. 5, 1233--1246 (2021; Zbl 1497.35342) Full Text: DOI arXiv OpenURL
Luan, Liping; Mei, Ming; Rubino, Bruno; Zhu, Peicheng Large-time behavior of solutions to Cauchy problem for bipolar Euler-Poisson system with time-dependent damping in critical case. (English) Zbl 1479.35110 Commun. Math. Sci. 19, No. 5, 1207-1231 (2021). MSC: 35B40 35L45 35L60 35L67 PDF BibTeX XML Cite \textit{L. Luan} et al., Commun. Math. Sci. 19, No. 5, 1207--1231 (2021; Zbl 1479.35110) Full Text: DOI OpenURL
Jentzen, Arnulf; Salimova, Diyora; Welti, Timo Proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients. (English) Zbl 1475.65157 Commun. Math. Sci. 19, No. 5, 1167-1205 (2021). MSC: 65M99 68T05 PDF BibTeX XML Cite \textit{A. Jentzen} et al., Commun. Math. Sci. 19, No. 5, 1167--1205 (2021; Zbl 1475.65157) Full Text: DOI arXiv OpenURL