Hensel, Sebastian; Liu, Yuning The sharp interface limit of a Navier-Stokes/Allen-Cahn system with constant mobility: convergence rates by a relative energy approach. (English) Zbl 07750775 SIAM J. Math. Anal. 55, No. 5, 4751-4787 (2023). MSC: 76T99 76D45 76D05 35R35 53E10 35K57 PDFBibTeX XMLCite \textit{S. Hensel} and \textit{Y. Liu}, SIAM J. Math. Anal. 55, No. 5, 4751--4787 (2023; Zbl 07750775) Full Text: DOI arXiv
Liu, Yuning Phase Transition of Parabolic Ginzburg–Landau Equation with Potentials of High-Dimensional Wells. arXiv:2207.12912 Preprint, arXiv:2207.12912 [math.AP] (2022). BibTeX Cite \textit{Y. Liu}, ``Phase Transition of Parabolic Ginzburg--Landau Equation with Potentials of High-Dimensional Wells'', Preprint, arXiv:2207.12912 [math.AP] (2022) Full Text: arXiv OA License
Laux, Tim; Liu, Yuning Nematic-isotropic phase transition in liquid crystals: a variational derivation of effective geometric motions. (English) Zbl 1468.76008 Arch. Ration. Mech. Anal. 241, No. 3, 1785-1814 (2021). MSC: 76A15 76M30 35Q35 PDFBibTeX XMLCite \textit{T. Laux} and \textit{Y. Liu}, Arch. Ration. Mech. Anal. 241, No. 3, 1785--1814 (2021; Zbl 1468.76008) Full Text: DOI arXiv
Fei, Mingwen; Liu, Yuning Phase-field approximation of the Willmore flow. (English) Zbl 1476.35021 Arch. Ration. Mech. Anal. 241, No. 3, 1655-1706 (2021). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B25 35R35 35Q92 35K51 35J25 PDFBibTeX XMLCite \textit{M. Fei} and \textit{Y. Liu}, Arch. Ration. Mech. Anal. 241, No. 3, 1655--1706 (2021; Zbl 1476.35021) Full Text: DOI arXiv
Liu, Yuning; Lu, Xin Yang; Xu, Xiang Regularity of a gradient flow generated by the anisotropic Landau-de Gennes energy with a singular potential. (English) Zbl 1467.35079 SIAM J. Math. Anal. 53, No. 3, 3338-3365 (2021). MSC: 35B65 35K20 35K55 35K67 35K87 35R70 76A15 PDFBibTeX XMLCite \textit{Y. Liu} et al., SIAM J. Math. Anal. 53, No. 3, 3338--3365 (2021; Zbl 1467.35079) Full Text: DOI arXiv
Liu, Yuning Phase transition of anisotropic Ginzburg–Landau equation. arXiv:2111.15061 Preprint, arXiv:2111.15061 [math.AP] (2021). BibTeX Cite \textit{Y. Liu}, ``Phase transition of anisotropic Ginzburg--Landau equation'', Preprint, arXiv:2111.15061 [math.AP] (2021) Full Text: arXiv OA License
Liu, Yuning; Wu, Hao; Xu, Xiang Global well-posedness of the two dimensional Beris-Edwards system with general Laudau-de Gennes free energy. (English) Zbl 1428.35378 J. Differ. Equations 267, No. 12, 6958-7001 (2019). MSC: 35Q35 35Q30 76D03 76D05 76A15 35D30 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Differ. Equations 267, No. 12, 6958--7001 (2019; Zbl 1428.35378) Full Text: DOI arXiv
Liu, Yuning; Wang, Wei On the initial boundary value problem of a Navier-Stokes/\(Q\)-tensor model for liquid crystals. (English) Zbl 1406.35234 Discrete Contin. Dyn. Syst., Ser. B 23, No. 9, 3879-3899 (2018). MSC: 35Q30 76A15 35D35 35K51 35B65 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{W. Wang}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 9, 3879--3899 (2018; Zbl 1406.35234) Full Text: DOI arXiv
Liu, Yuning; Wang, Wei The small Deborah number limit of the Doi-Onsager equation without hydrodynamics. (English) Zbl 1403.35241 J. Funct. Anal. 275, No. 10, 2740-2793 (2018). MSC: 35Q35 76A15 35D30 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{W. Wang}, J. Funct. Anal. 275, No. 10, 2740--2793 (2018; Zbl 1403.35241) Full Text: DOI arXiv
Abels, Helmut; Liu, Yuning Sharp interface limit for a Stokes/Allen-Cahn system. (English) Zbl 1394.35343 Arch. Ration. Mech. Anal. 229, No. 1, 417-502 (2018). MSC: 35Q35 76D07 76D05 35C20 PDFBibTeX XMLCite \textit{H. Abels} and \textit{Y. Liu}, Arch. Ration. Mech. Anal. 229, No. 1, 417--502 (2018; Zbl 1394.35343) Full Text: DOI arXiv
Liu, Yuning; Wang, Wei The Oseen-Frank limit of Onsager’s molecular theory for liquid crystals. (English) Zbl 1384.35096 Arch. Ration. Mech. Anal. 227, No. 3, 1061-1090 (2018). MSC: 35Q35 76A15 82D30 82C27 82C22 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{W. Wang}, Arch. Ration. Mech. Anal. 227, No. 3, 1061--1090 (2018; Zbl 1384.35096) Full Text: DOI arXiv
Liu, Yuning Control of harmonic map heat flow with an external field. arXiv:1809.01447 Preprint, arXiv:1809.01447 [math.AP] (2018). BibTeX Cite \textit{Y. Liu}, ``Control of harmonic map heat flow with an external field'', Preprint, arXiv:1809.01447 [math.AP] (2018) Full Text: arXiv OA License
Abels, Helmut; Liu, Yuning; Schöttl, Andreas Sharp interface limits for diffuse interface models for two-phase flows of viscous incompressible fluids. (English) Zbl 1391.76767 Bothe, Dieter (ed.) et al., Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer (ISBN 978-3-319-56601-6/hbk; 978-3-319-56602-3/ebook). Advances in Mathematical Fluid Mechanics, 231-253 (2017). MSC: 76T10 76D05 PDFBibTeX XMLCite \textit{H. Abels} et al., in: Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer. 231--253 (2017; Zbl 1391.76767) Full Text: DOI
Abels, Helmut; Dolzmann, Georg; Liu, Yuning Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions. (English) Zbl 1333.35174 Adv. Differ. Equ. 21, No. 1-2, 109-152 (2016). MSC: 35Q35 35Q30 76D03 76D05 76A15 PDFBibTeX XMLCite \textit{H. Abels} et al., Adv. Differ. Equ. 21, No. 1--2, 109--152 (2016; Zbl 1333.35174) Full Text: arXiv Euclid
Abels, Helmut; Dolzmann, Georg; Liu, Yuning Well-posedness of a fully coupled Navier-Stokes/\(\mathrm Q\)-tensor system with inhomogeneous boundary data. (English) Zbl 1336.35283 SIAM J. Math. Anal. 46, No. 4, 3050-3077 (2014). Reviewer: V. D. Sharma (Mumbai) MSC: 35Q35 35Q30 76D03 76D05 35B65 PDFBibTeX XMLCite \textit{H. Abels} et al., SIAM J. Math. Anal. 46, No. 4, 3050--3077 (2014; Zbl 1336.35283) Full Text: DOI arXiv
Liu, Yuning; Takahashi, Takéo Existence of global weak solutions for a phase – field model of a vesicle moving into a viscous incompressible fluid. (English) Zbl 1294.35068 Math. Methods Appl. Sci. 37, No. 10, 1507-1526 (2014). MSC: 35Q30 35Q35 35D30 76D03 76D05 76T10 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{T. Takahashi}, Math. Methods Appl. Sci. 37, No. 10, 1507--1526 (2014; Zbl 1294.35068) Full Text: DOI HAL
Liu, Yuning Some sufficient conditions for the controllability of wave equations with variable coefficients. (English) Zbl 1277.93018 Acta Appl. Math. 128, No. 1, 181-191 (2013). MSC: 93B05 93B07 35Q93 PDFBibTeX XMLCite \textit{Y. Liu}, Acta Appl. Math. 128, No. 1, 181--191 (2013; Zbl 1277.93018) Full Text: DOI arXiv
Liu, Yuning; Takahashi, Takéo; Tucsnak, Marius Single input controllability of a simplified fluid-structure interaction model. (English) Zbl 1270.35259 ESAIM, Control Optim. Calc. Var. 19, No. 1, 20-42 (2013). Reviewer: A. Omrane (Cayenne) MSC: 35K55 93B05 65M60 93B40 93D15 PDFBibTeX XMLCite \textit{Y. Liu} et al., ESAIM, Control Optim. Calc. Var. 19, No. 1, 20--42 (2013; Zbl 1270.35259) Full Text: DOI
Liu, Yuning; Takahashi, Takéo; Tucsnak, Marius Strong solutions for a phase field Navier-Stokes vesicle-fluid interaction model. (English) Zbl 1294.35106 J. Math. Fluid Mech. 14, No. 1, 177-195 (2012). MSC: 35Q35 76T10 76D03 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Math. Fluid Mech. 14, No. 1, 177--195 (2012; Zbl 1294.35106) Full Text: DOI
Xiao, Qinghua; Liu, Yuning; Kim, Jongsung Asymptotic behavior of rarefaction waves for a model system of a radiating gas. (English) Zbl 1273.35190 J. Inequal. Appl. 2012, Paper No. 81, 24 p. (2012). MSC: 35M10 PDFBibTeX XMLCite \textit{Q. Xiao} et al., J. Inequal. Appl. 2012, Paper No. 81, 24 p. (2012; Zbl 1273.35190) Full Text: DOI
Liu, Yuning; Zhang, Can Unique Continuation and Observability Estimates for 2-D Stokes Equations with the Navier Slip Boundary Condition. arXiv:1205.5950 Preprint, arXiv:1205.5950 [math.AP] (2012). MSC: 93B07 35Q30 35B60 BibTeX Cite \textit{Y. Liu} and \textit{C. Zhang}, ``Unique Continuation and Observability Estimates for 2-D Stokes Equations with the Navier Slip Boundary Condition'', Preprint, arXiv:1205.5950 [math.AP] (2012) Full Text: arXiv OA License
Jiang, Zhixia; Cheng, Libo; Liu, Yuning Solution of multiobjective bilevel programming problems by maximal module ideal point algorithm with power. (Chinese. English summary) Zbl 1096.90034 J. Jilin Univ., Sci. 43, No. 4, 417-421 (2005). MSC: 90C29 PDFBibTeX XMLCite \textit{Z. Jiang} et al., J. Jilin Univ., Sci. 43, No. 4, 417--421 (2005; Zbl 1096.90034)
Jiang, Zhi-xia; Liu, Yuning; Yang, Yihua An algorithm for solving multiobjective programs with equilibrium constraints. (Chinese. English summary) Zbl 1068.90593 J. Jilin Univ., Sci. 43, No. 3, 275-281 (2005). MSC: 90C29 PDFBibTeX XMLCite \textit{Z.-x. Jiang} et al., J. Jilin Univ., Sci. 43, No. 3, 275--281 (2005; Zbl 1068.90593)
Chang, T.-P.; Liu, Y.-N. Dynamic finite element analysis of a nonlinear beam subjected to a moving load. (English) Zbl 0928.74089 Int. J. Solids Struct. 33, No. 12, 1673-1688 (1996). MSC: 74S05 74K10 74H15 PDFBibTeX XMLCite \textit{T. P. Chang} and \textit{Y. N. Liu}, Int. J. Solids Struct. 33, No. 12, 1673--1688 (1996; Zbl 0928.74089) Full Text: DOI