Cai, Yuan Uniform bound of the highest-order energy of the 2D incompressible elastodynamics. (English) Zbl 1526.35238 SIAM J. Math. Anal. 55, No. 5, 5893-5918 (2023). MSC: 35L72 35B45 35Q74 74B20 PDFBibTeX XMLCite \textit{Y. Cai}, SIAM J. Math. Anal. 55, No. 5, 5893--5918 (2023; Zbl 1526.35238) Full Text: DOI arXiv
Cui, Xiufang; Hu, Xianpeng Vanishing shear viscosity limit and incompressible limit of two dimensional compressible dissipative elastodynamics. (English) Zbl 07732089 Commun. Math. Phys. 402, No. 3, 3253-3336 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q74 35Q35 35L70 74H20 74B20 74D10 76A10 35B40 PDFBibTeX XMLCite \textit{X. Cui} and \textit{X. Hu}, Commun. Math. Phys. 402, No. 3, 3253--3336 (2023; Zbl 07732089) Full Text: DOI
Dong, Shijie; Li, Kuijie; Yuan, Xu Global solution to the 3D Dirac-Klein-Gordon system with uniform energy bounds. (English) Zbl 1516.35349 Calc. Var. Partial Differ. Equ. 62, No. 5, Paper No. 146, 42 p. (2023). MSC: 35Q40 35Q41 81R20 35L70 PDFBibTeX XMLCite \textit{S. Dong} et al., Calc. Var. Partial Differ. Equ. 62, No. 5, Paper No. 146, 42 p. (2023; Zbl 1516.35349) Full Text: DOI arXiv
Liu, Shuai; Wang, Yuzhu Optimal time-decay rate of global classical solutions to the generalized compressible Oldroyd-B model. (English) Zbl 1493.35079 Evol. Equ. Control Theory 11, No. 4, 1201-1227 (2022). MSC: 35Q35 76A05 PDFBibTeX XMLCite \textit{S. Liu} and \textit{Y. Wang}, Evol. Equ. Control Theory 11, No. 4, 1201--1227 (2022; Zbl 1493.35079) Full Text: DOI
Cui, Xiufang; Hu, Xianpeng Incompressible limit of three dimensional compressible viscoelastic systems with vanishing shear viscosity. (English) Zbl 1504.35306 Arch. Ration. Mech. Anal. 245, No. 2, 753-807 (2022). MSC: 35Q35 76A10 76N10 76N17 PDFBibTeX XMLCite \textit{X. Cui} and \textit{X. Hu}, Arch. Ration. Mech. Anal. 245, No. 2, 753--807 (2022; Zbl 1504.35306) Full Text: DOI
Cai, Yuan Global vanishing viscosity limit for the two dimensional incompressible viscoelasticity in Lagrangian coordinates. (English) Zbl 1507.35167 Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 93, 35 p. (2022). MSC: 35Q35 76A10 35A09 35A01 35A02 35D40 49M41 35R09 PDFBibTeX XMLCite \textit{Y. Cai}, Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 93, 35 p. (2022; Zbl 1507.35167) Full Text: DOI
Vorotnikov, Dmitry Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems. (English) Zbl 1508.35051 Arch. Ration. Mech. Anal. 243, No. 3, 1653-1698 (2022). MSC: 35Q31 35Q53 76W05 76B03 76A10 35B65 35D30 35A15 49Q22 49Q20 58B20 PDFBibTeX XMLCite \textit{D. Vorotnikov}, Arch. Ration. Mech. Anal. 243, No. 3, 1653--1698 (2022; Zbl 1508.35051) Full Text: DOI arXiv
Cai, Yuan; Wang, Fan Global well-posedness of incompressible elastodynamics in three-dimensional thin domain. (English) Zbl 1483.35249 SIAM J. Math. Anal. 53, No. 6, 6654-6696 (2021). Reviewer: Kaïs Ammari (Monastir) MSC: 35Q74 74B20 74K99 35A09 35A01 35A02 35B30 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{F. Wang}, SIAM J. Math. Anal. 53, No. 6, 6654--6696 (2021; Zbl 1483.35249) Full Text: DOI arXiv
Cai, Yuan; Wang, Wei Global well-posedness for the three dimensional simplified inertial Ericksen-Leslie systems near equilibrium. (English) Zbl 1437.35567 J. Funct. Anal. 279, No. 2, Article ID 108521, 38 p. (2020). MSC: 35Q35 76A15 35A02 35A01 35A09 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{W. Wang}, J. Funct. Anal. 279, No. 2, Article ID 108521, 38 p. (2020; Zbl 1437.35567) Full Text: DOI arXiv
Cui, Xiufang; Yin, Silu Global existence of inhomogeneous incompressible isotropic elastodynamics in three dimensions. (English) Zbl 1403.35286 SIAM J. Math. Anal. 50, No. 5, 4721-4751 (2018). Reviewer: Kaïs Ammari (Monastir) MSC: 35Q74 74H20 74B20 35A01 PDFBibTeX XMLCite \textit{X. Cui} and \textit{S. Yin}, SIAM J. Math. Anal. 50, No. 5, 4721--4751 (2018; Zbl 1403.35286) Full Text: DOI
Cai, Yuan; Lei, Zhen; Masmoudi, Nader Global well-posedness for 2D nonlinear wave equations without compact support. (English. French summary) Zbl 1392.35194 J. Math. Pures Appl. (9) 114, 211-234 (2018). Reviewer: Dongbing Zha (Shanghai) MSC: 35L72 35L15 PDFBibTeX XMLCite \textit{Y. Cai} et al., J. Math. Pures Appl. (9) 114, 211--234 (2018; Zbl 1392.35194) Full Text: DOI arXiv
Wang, Yinxia; Zhao, Hengjun Global existence and decay estimate of classical solutions to the compressible viscoelastic flows with self-gravitating. (English) Zbl 1382.35240 Commun. Pure Appl. Anal. 17, No. 2, 347-374 (2018). MSC: 35Q35 35B40 76N15 76A10 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{H. Zhao}, Commun. Pure Appl. Anal. 17, No. 2, 347--374 (2018; Zbl 1382.35240) Full Text: DOI
Zha, Dongbing Some remarks on quasilinear wave equations with null condition in 3-D. (English) Zbl 1350.35130 Math. Methods Appl. Sci. 39, No. 15, 4484-4495 (2016). MSC: 35L72 35L15 PDFBibTeX XMLCite \textit{D. Zha}, Math. Methods Appl. Sci. 39, No. 15, 4484--4495 (2016; Zbl 1350.35130) Full Text: DOI
Yin, Silu Global existence for a model of inhomogeneous incompressible elastodynamics in 2D. (English) Zbl 1353.35281 J. Differ. Equations 260, No. 10, 7662-7682 (2016). Reviewer: Natalia Bondarenko (Saratov) MSC: 35Q74 74B20 PDFBibTeX XMLCite \textit{S. Yin}, J. Differ. Equations 260, No. 10, 7662--7682 (2016; Zbl 1353.35281) Full Text: DOI