Huang, Juan; Wang, Yangyang; Wang, Sheng Asymptotic behavior for the Davey-Stewartson system at the mass-energy threshold. (English) Zbl 07783595 Result. Math. 79, No. 1, Paper No. 25, 18 p. (2024). MSC: 35Q55 35Q40 35Q51 82C10 35J20 35C08 35B40 35B44 35A01 35A02 PDFBibTeX XMLCite \textit{J. Huang} et al., Result. Math. 79, No. 1, Paper No. 25, 18 p. (2024; Zbl 07783595) Full Text: DOI
He, Zhiqian; Feng, Binhua; Liu, Jiayin Existence, stability and asymptotic behaviour of normalized solutions for the Davey-Stewartson system. (English) Zbl 1505.35182 Discrete Contin. Dyn. Syst. 42, No. 12, 5937-5966 (2022). MSC: 35J61 35A01 35J20 35B35 35B40 PDFBibTeX XMLCite \textit{Z. He} et al., Discrete Contin. Dyn. Syst. 42, No. 12, 5937--5966 (2022; Zbl 1505.35182) Full Text: DOI
Forcella, Luigi On finite time blow-up for a 3D Davey-Stewartson system. (English) Zbl 1498.35500 Proc. Am. Math. Soc. 150, No. 12, 5421-5432 (2022). MSC: 35Q55 35B40 35B44 35A01 PDFBibTeX XMLCite \textit{L. Forcella}, Proc. Am. Math. Soc. 150, No. 12, 5421--5432 (2022; Zbl 1498.35500) Full Text: DOI arXiv
Yang, Ying; Zhou, Rui; Zhu, Shihui On the singular solutions to a generalized magnetic Zakharov model. (Chinese. English summary) Zbl 1513.35484 Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 1, 70-85 (2022). MSC: 35Q55 PDFBibTeX XMLCite \textit{Y. Yang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 1, 70--85 (2022; Zbl 1513.35484) Full Text: Link
Tian, Shuai; Zhu, Shihui Dynamics of the nonlinear Hartree equation with a focusing and defocusing perturbation. (English) Zbl 1492.35320 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112980, 22 p. (2022). MSC: 35Q55 PDFBibTeX XMLCite \textit{S. Tian} and \textit{S. Zhu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112980, 22 p. (2022; Zbl 1492.35320) Full Text: DOI
Feng, Binhua; Zhu, Shihui Stability and instability of standing waves for the fractional nonlinear Schrödinger equations. (English) Zbl 1471.35256 J. Differ. Equations 292, 287-324 (2021). MSC: 35Q55 35J20 35B35 35R11 35B44 PDFBibTeX XMLCite \textit{B. Feng} and \textit{S. Zhu}, J. Differ. Equations 292, 287--324 (2021; Zbl 1471.35256) Full Text: DOI
Feng, Binhua; He, Zhiqian; Liu, Jiayin Blow-up criteria and instability of standing waves for the inhomogeneous fractional Schrödinger equation. (English) Zbl 1466.35058 Electron. J. Differ. Equ. 2021, Paper No. 39, 18 p. (2021). MSC: 35B44 35Q55 35R11 PDFBibTeX XMLCite \textit{B. Feng} et al., Electron. J. Differ. Equ. 2021, Paper No. 39, 18 p. (2021; Zbl 1466.35058) Full Text: Link
Yuan, Yi; Feng, Binhua Finite time blow-up for the nonlinear Schrödinger equation in trapped dipolar quantum gases with arbitrarily positive initial energy. (English) Zbl 1499.35567 Bound. Value Probl. 2020, Paper No. 61, 9 p. (2020). MSC: 35Q55 35B44 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{B. Feng}, Bound. Value Probl. 2020, Paper No. 61, 9 p. (2020; Zbl 1499.35567) Full Text: DOI
Wang, Yongbin; Feng, Binhua Sharp thresholds of blow-up and global existence for the Schrödinger equation with combined power-type and Choquard-type nonlinearities. (English) Zbl 1513.35483 Bound. Value Probl. 2019, Paper No. 195, 17 p. (2019). MSC: 35Q55 35A15 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{B. Feng}, Bound. Value Probl. 2019, Paper No. 195, 17 p. (2019; Zbl 1513.35483) Full Text: DOI
Feng, Binhua; Ren, Jiajia; Wang, Kai Blow-up in several points for the Davey-Stewartson system in \(\mathbb{R}^2\). (English) Zbl 1408.35148 J. Math. Anal. Appl. 466, No. 2, 1317-1326 (2018). MSC: 35Q35 35B44 76B15 PDFBibTeX XMLCite \textit{B. Feng} et al., J. Math. Anal. Appl. 466, No. 2, 1317--1326 (2018; Zbl 1408.35148) Full Text: DOI
Feng, Binhua On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities. (English) Zbl 1390.35324 J. Evol. Equ. 18, No. 1, 203-220 (2018). MSC: 35Q55 35B44 35Q41 35A01 35B33 PDFBibTeX XMLCite \textit{B. Feng}, J. Evol. Equ. 18, No. 1, 203--220 (2018; Zbl 1390.35324) Full Text: DOI arXiv
Li, Shiming; Li, Yongsheng; Yan, Wei A global existence and blow-up threshold for Davey-Stewartson equations in \(\mathbb{R}^3\). (English) Zbl 1356.35220 Discrete Contin. Dyn. Syst., Ser. S 9, No. 6, 1899-1912 (2016). MSC: 35Q55 35B44 PDFBibTeX XMLCite \textit{S. Li} et al., Discrete Contin. Dyn. Syst., Ser. S 9, No. 6, 1899--1912 (2016; Zbl 1356.35220) Full Text: DOI
Zhu, Shihui On the Davey-Stewartson system with competing nonlinearities. (English) Zbl 1351.35156 J. Math. Phys. 57, No. 3, 031501, 13 p. (2016). Reviewer: V. D. Sharma (Mumbai) MSC: 35Q35 35Q55 35B44 PDFBibTeX XMLCite \textit{S. Zhu}, J. Math. Phys. 57, No. 3, 031501, 13 p. (2016; Zbl 1351.35156) Full Text: DOI
Feng, Binhua; Cai, Yuan Concentration for blow-up solutions of the Davey-Stewartson system in \(\mathbb{R}^3\). (English) Zbl 1330.35399 Nonlinear Anal., Real World Appl. 26, 330-342 (2015). MSC: 35Q55 35B44 76B15 35Q35 PDFBibTeX XMLCite \textit{B. Feng} and \textit{Y. Cai}, Nonlinear Anal., Real World Appl. 26, 330--342 (2015; Zbl 1330.35399) Full Text: DOI
Zhu, Shi Hui Blow-up dynamics of \(L^2\) solutions for the Davey-Stewartson system. (English) Zbl 1311.35303 Acta Math. Sin., Engl. Ser. 31, No. 3, 411-429 (2015). MSC: 35Q55 35B44 35Q35 PDFBibTeX XMLCite \textit{S. H. Zhu}, Acta Math. Sin., Engl. Ser. 31, No. 3, 411--429 (2015; Zbl 1311.35303) Full Text: DOI
Godet, Nicolas A lower bound on the blow-up rate for the Davey-Stewartson system on the torus. (English) Zbl 1288.35113 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 4, 691-703 (2013). MSC: 35B44 PDFBibTeX XMLCite \textit{N. Godet}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 4, 691--703 (2013; Zbl 1288.35113) Full Text: DOI arXiv
Yang, Han; Fan, Xiaoming; Zhu, Shihui Global analysis for rough solutions to the Davey-Stewartson system. (English) Zbl 1257.35154 Abstr. Appl. Anal. 2012, Article ID 578701, 22 p. (2012). MSC: 35Q35 35A01 35A02 35C11 PDFBibTeX XMLCite \textit{H. Yang} et al., Abstr. Appl. Anal. 2012, Article ID 578701, 22 p. (2012; Zbl 1257.35154) Full Text: DOI