Tong, Leilei Global existence and decay estimates of the classical solution to the compressible Navier-Stokes-Smoluchowski equations in \(\mathbb{R}^3\). (English) Zbl 07819557 Adv. Nonlinear Anal. 13, Article ID 20230131, 25 p. (2024). MSC: 35Q35 76N10 35B40 35A09 35D30 35D35 35A01 35A02 46E35 PDFBibTeX XMLCite \textit{L. Tong}, Adv. Nonlinear Anal. 13, Article ID 20230131, 25 p. (2024; Zbl 07819557) Full Text: DOI OA License
Liu, Siqi; Liu, Yang; Zhang, Yuan On formation of singularity for a fluid-particle interaction model. (English) Zbl 07787742 J. Math. Anal. Appl. 532, No. 2, Article ID 127983, 28 p. (2024). MSC: 35Q35 76N10 76T20 35B44 35B65 35D35 PDFBibTeX XMLCite \textit{S. Liu} et al., J. Math. Anal. Appl. 532, No. 2, Article ID 127983, 28 p. (2024; Zbl 07787742) Full Text: DOI
Huang, Bingyuan; Chen, Yingshan; Yao, Zheng-an Boundary layers for a fluid-particle interaction system with density-dependent viscosity and cylindrical symmetry. (English) Zbl 1528.35094 Nonlinear Anal., Real World Appl. 75, Article ID 103981, 25 p. (2024). MSC: 35Q30 76N10 76N20 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{B. Huang} et al., Nonlinear Anal., Real World Appl. 75, Article ID 103981, 25 p. (2024; Zbl 1528.35094) Full Text: DOI
Liu, Sili; Wang, Wenjun; Wen, Huanyao The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates. (English) Zbl 1524.76340 Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 2, 441-490 (2023). MSC: 76N10 74A10 35Q35 PDFBibTeX XMLCite \textit{S. Liu} et al., Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 2, 441--490 (2023; Zbl 1524.76340) Full Text: DOI
Huang, Bingyuan; Ding, Shijin; Wu, Riqing Classical solutions of the 3D compressible fluid-particle system with a magnetic field. (English) Zbl 1499.35473 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1585-1606 (2022). MSC: 35Q30 76N10 46E35 PDFBibTeX XMLCite \textit{B. Huang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 4, 1585--1606 (2022; Zbl 1499.35473) Full Text: DOI
Ding, Shijin; Huang, Bingyuan; Hou, Xiaoyan Strong solutions to a fluid-particle interaction model with magnetic field in \(\mathbb{R}^2\). (English) Zbl 1481.35308 Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 277-300 (2022). MSC: 35Q30 76N10 76W05 35D35 46E35 PDFBibTeX XMLCite \textit{S. Ding} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 277--300 (2022; Zbl 1481.35308) Full Text: DOI
Wen, Huanyao; Zhu, Changjiang Remarks on global weak solutions to a two-fluid type model. (English) Zbl 1513.76154 Commun. Pure Appl. Anal. 20, No. 7-8, 2839-2856 (2021). MSC: 76T10 35Q30 35D30 PDFBibTeX XMLCite \textit{H. Wen} and \textit{C. Zhu}, Commun. Pure Appl. Anal. 20, No. 7--8, 2839--2856 (2021; Zbl 1513.76154) Full Text: DOI
Liu, Sili; Lu, Yong; Wen, Huanyao On the Cauchy problem for a compressible Oldroyd-B model without stress diffusion. (English) Zbl 1501.76001 SIAM J. Math. Anal. 53, No. 6, 6216-6242 (2021). Reviewer: Song Jiang (Beijing) MSC: 76A10 76N10 35Q35 PDFBibTeX XMLCite \textit{S. Liu} et al., SIAM J. Math. Anal. 53, No. 6, 6216--6242 (2021; Zbl 1501.76001) Full Text: DOI
Huang, Jinrui; Huang, Bingyuan; Wu, Yuqin Blowup mechanism for a fluid-particle interaction system in \(\mathbb{R}^3\). (English) Zbl 1464.35226 Acta Appl. Math. 170, 185-202 (2020). MSC: 35Q35 76N10 76T25 35D35 35B65 PDFBibTeX XMLCite \textit{J. Huang} et al., Acta Appl. Math. 170, 185--202 (2020; Zbl 1464.35226) Full Text: DOI
Fan, Jishan; Nakamura, Gen; Tang, Tong Uniform regularity for a two-phase model with magneto field and a related system. (English) Zbl 1459.76155 J. Math. Phys. 61, No. 7, 071508, 10 p. (2020). MSC: 76T06 76N10 76W05 35Q35 PDFBibTeX XMLCite \textit{J. Fan} et al., J. Math. Phys. 61, No. 7, 071508, 10 p. (2020; Zbl 1459.76155) Full Text: DOI
Zhu, Limei; Huang, Bingyuan; Huang, Jinrui Radially symmetric solutions for Navier-Stokes-Smoluchowski system: global existence in unbounded annular domain and center singularity. (English) Zbl 1452.76258 J. Math. Phys. 61, No. 6, 061510, 18 p. (2020). MSC: 76T20 76N10 35Q35 PDFBibTeX XMLCite \textit{L. Zhu} et al., J. Math. Phys. 61, No. 6, 061510, 18 p. (2020; Zbl 1452.76258) Full Text: DOI
Liu, Yang Local well-posedness to the Cauchy problem of the 2D compressible Navier-Stokes-Smoluchowski equations with vacuum. (English) Zbl 1445.35115 J. Math. Anal. Appl. 489, No. 1, Article ID 124154, 23 p. (2020). Reviewer: Philippe Laurençot (Toulouse) MSC: 35D35 35M11 35Q30 76N10 PDFBibTeX XMLCite \textit{Y. Liu}, J. Math. Anal. Appl. 489, No. 1, Article ID 124154, 23 p. (2020; Zbl 1445.35115) Full Text: DOI
Wang, Wenjun; Wen, Huanyao The Cauchy problem for an Oldroyd-B model in three dimensions. (English) Zbl 1434.76104 Math. Models Methods Appl. Sci. 30, No. 1, 139-179 (2020). MSC: 76N10 76T10 76T15 PDFBibTeX XMLCite \textit{W. Wang} and \textit{H. Wen}, Math. Models Methods Appl. Sci. 30, No. 1, 139--179 (2020; Zbl 1434.76104) Full Text: DOI
Yang, Xiuhui Local well-posedness of the compressible Navier-Stokes-Smoluchowski equations with vacuum. (English) Zbl 1439.35378 J. Math. Anal. Appl. 485, No. 1, Article ID 123792, 8 p. (2020). MSC: 35Q30 76N10 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{X. Yang}, J. Math. Anal. Appl. 485, No. 1, Article ID 123792, 8 p. (2020; Zbl 1439.35378) Full Text: DOI
Ding, Shijin; Huang, Bingyuan; Li, Quanrong Global existence and decay estimates for the classical solutions to a compressible fluid-particle interaction model. (English) Zbl 1499.35469 Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 6, 1525-1537 (2019). MSC: 35Q30 76N10 46E35 PDFBibTeX XMLCite \textit{S. Ding} et al., Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 6, 1525--1537 (2019; Zbl 1499.35469) Full Text: DOI
Huang, Bingkang; Liu, Lvqiao; Zhang, Lan On the existence of global strong solutions to 2D compressible Navier-Stokes-Smoluchowski equations with large initial data. (English) Zbl 1433.35226 Nonlinear Anal., Real World Appl. 49, 169-195 (2019). MSC: 35Q30 76N10 35D35 PDFBibTeX XMLCite \textit{B. Huang} et al., Nonlinear Anal., Real World Appl. 49, 169--195 (2019; Zbl 1433.35226) Full Text: DOI
Huang, Bingyuan; Huang, Jinrui; Wen, Huanyao Low Mach number limit of the compressible Navier-Stokes-Smoluchowski equations in multi-dimensions. (English) Zbl 1444.76086 J. Math. Phys. 60, No. 6, 061501, 20 p. (2019). MSC: 76N06 76D03 35D35 PDFBibTeX XMLCite \textit{B. Huang} et al., J. Math. Phys. 60, No. 6, 061501, 20 p. (2019; Zbl 1444.76086) Full Text: DOI
Ding, Shijin; Huang, Bingyuan; Wen, Huanyao Global well-posedness of classical solutions to a fluid-particle interaction model in \(\mathbb{R}^3\). (English) Zbl 1375.35313 J. Differ. Equations 263, No. 12, 8666-8717 (2017). MSC: 35Q30 76N10 46E35 35A09 PDFBibTeX XMLCite \textit{S. Ding} et al., J. Differ. Equations 263, No. 12, 8666--8717 (2017; Zbl 1375.35313) Full Text: DOI