Chen, Xiuqing; Jüngel, Ansgar; Lin, Xi; Liu, Ling Large-time asymptotics for degenerate cross-diffusion population models with volume filling. (English) Zbl 07801708 J. Differ. Equations 386, 1-15 (2024). MSC: 35B40 35K51 35K59 35K65 92D25 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Differ. Equations 386, 1--15 (2024; Zbl 07801708) Full Text: DOI arXiv
Chen, Xiuqing; Jüngel, Ansgar; Wang, Lei The Shigesada-Kawasaki-Teramoto cross-diffusion system beyond detailed balance. (English) Zbl 1512.35366 J. Differ. Equations 360, 260-286 (2023). MSC: 35K51 35K58 35B40 35D30 92D25 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Differ. Equations 360, 260--286 (2023; Zbl 1512.35366) Full Text: DOI arXiv
Chen, Xiuqing; Jüngel, Ansgar When do cross-diffusion systems have an entropy structure? (English) Zbl 1456.35104 J. Differ. Equations 278, 60-72 (2021). MSC: 35K51 35K59 92C17 35Q79 15A23 15A24 PDFBibTeX XMLCite \textit{X. Chen} and \textit{A. Jüngel}, J. Differ. Equations 278, 60--72 (2021; Zbl 1456.35104) Full Text: DOI arXiv
Braukhoff, Marcel; Chen, Xiuqing; Jüngel, Ansgar Corrigendum to: “Cross diffusion preventing blow-up in the two-dimensional Keller-Segel model”. (English) Zbl 1441.35242 SIAM J. Math. Anal. 52, No. 2, 2198-2200 (2020). MSC: 35Q92 46B50 PDFBibTeX XMLCite \textit{M. Braukhoff} et al., SIAM J. Math. Anal. 52, No. 2, 2198--2200 (2020; Zbl 1441.35242) Full Text: DOI
Chen, Xiuqing; Jüngel, Ansgar Global renormalized solutions to reaction-cross-diffusion systems with self-diffusion. (English) Zbl 1447.35182 J. Differ. Equations 267, No. 10, 5901-5937 (2019). MSC: 35K51 35K57 35Q92 92D25 PDFBibTeX XMLCite \textit{X. Chen} and \textit{A. Jüngel}, J. Differ. Equations 267, No. 10, 5901--5937 (2019; Zbl 1447.35182) Full Text: DOI arXiv
Chen, Xiuqing; Jüngel, Ansgar Weak-strong uniqueness of renormalized solutions to reaction-cross-diffusion systems. (English) Zbl 1408.35070 Math. Models Methods Appl. Sci. 29, No. 2, 237-270 (2019). MSC: 35K51 35A02 35K55 35Q92 92D25 PDFBibTeX XMLCite \textit{X. Chen} and \textit{A. Jüngel}, Math. Models Methods Appl. Sci. 29, No. 2, 237--270 (2019; Zbl 1408.35070) Full Text: DOI arXiv
Chen, Xiuqing; Jüngel, Ansgar A note on the uniqueness of weak solutions to a class of cross-diffusion systems. (English) Zbl 1396.35027 J. Evol. Equ. 18, No. 2, 805-820 (2018). MSC: 35K51 35A02 35K55 PDFBibTeX XMLCite \textit{X. Chen} and \textit{A. Jüngel}, J. Evol. Equ. 18, No. 2, 805--820 (2018; Zbl 1396.35027) Full Text: DOI arXiv
Chen, Xiuqing; Daus, Esther S.; Jüngel, Ansgar Global existence analysis of cross-diffusion population systems for multiple species. (English) Zbl 1384.35135 Arch. Ration. Mech. Anal. 227, No. 2, 715-747 (2018). MSC: 35Q92 35K51 92D25 60J10 35D30 82C41 PDFBibTeX XMLCite \textit{X. Chen} et al., Arch. Ration. Mech. Anal. 227, No. 2, 715--747 (2018; Zbl 1384.35135) Full Text: DOI arXiv
Chen, Xiuqing; Jüngel, Ansgar Analysis of an incompressible Navier-Stokes-Maxwell-Stefan system. (English) Zbl 1331.35273 Commun. Math. Phys. 340, No. 2, 471-497 (2015). Reviewer: Cheng He (Beijing) MSC: 35Q35 76N10 76T30 76R50 35D30 PDFBibTeX XMLCite \textit{X. Chen} and \textit{A. Jüngel}, Commun. Math. Phys. 340, No. 2, 471--497 (2015; Zbl 1331.35273) Full Text: DOI arXiv
Chen, Xiuqing; Jüngel, Ansgar; Liu, Jian-Guo A note on Aubin-Lions-Dubinskiĭ lemmas. (English) Zbl 1326.46019 Acta Appl. Math. 133, No. 1, 33-43 (2014). MSC: 46B50 35A35 PDFBibTeX XMLCite \textit{X. Chen} et al., Acta Appl. Math. 133, No. 1, 33--43 (2014; Zbl 1326.46019) Full Text: DOI arXiv
Chen, Xiuqing; Li, Xiaolong; Liu, Jian-Guo Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles. (English) Zbl 1311.35184 Commun. Math. Sci. 12, No. 8, 1579-1601 (2014). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 35K55 76D05 65M06 35Q83 82C31 35D30 PDFBibTeX XMLCite \textit{X. Chen} et al., Commun. Math. Sci. 12, No. 8, 1579--1601 (2014; Zbl 1311.35184) Full Text: DOI
Chen, Xiuqing; Liu, Jian-Guo Analysis of polymeric flow models and related compactness theorems in weighted spaces. (English) Zbl 1291.35172 SIAM J. Math. Anal. 45, No. 3, 1179-1215 (2013). MSC: 35Q30 35K55 76D05 65M06 PDFBibTeX XMLCite \textit{X. Chen} and \textit{J.-G. Liu}, SIAM J. Math. Anal. 45, No. 3, 1179--1215 (2013; Zbl 1291.35172) Full Text: DOI Link
Chen, Xiuqing; Liu, Jian-Guo Global weak entropy solution to Doi-Saintillan-Shelley model for active and passive rod-like and ellipsoidal particle suspensions. (English) Zbl 1260.35231 J. Differ. Equations 254, No. 7, 2764-2802 (2013). MSC: 35Q84 35Q30 76D05 76T20 PDFBibTeX XMLCite \textit{X. Chen} and \textit{J.-G. Liu}, J. Differ. Equations 254, No. 7, 2764--2802 (2013; Zbl 1260.35231) Full Text: DOI
Chen, Li; Chen, Xiu-Qing; Jüngel, Ansgar Semiclassical limit in a simplified quantum energy-transport model for semiconductors. (English) Zbl 1246.35025 Kinet. Relat. Models 4, No. 4, 1049-1062 (2011). MSC: 35B25 35J40 35Q40 82D37 35J70 35R60 PDFBibTeX XMLCite \textit{L. Chen} et al., Kinet. Relat. Models 4, No. 4, 1049--1062 (2011; Zbl 1246.35025) Full Text: DOI
Chen, Xiuqing; Chen, Li; Sun, Caiyun A sixth-order parabolic system in semiconductors. (English) Zbl 1221.35188 Chin. Ann. Math., Ser. B 32, No. 2, 265-278 (2011). MSC: 35K35 35J60 35Q40 PDFBibTeX XMLCite \textit{X. Chen} et al., Chin. Ann. Math., Ser. B 32, No. 2, 265--278 (2011; Zbl 1221.35188) Full Text: DOI
Chen, Li; Chen, Xiuqing; Zhang, Chunlei Vanishing electron mass limit in the bipolar Euler-Poisson system. (English) Zbl 1206.35167 Nonlinear Anal., Real World Appl. 12, No. 2, 1002-1012 (2011). MSC: 35L60 35L50 35Q31 35B45 82D37 82D10 PDFBibTeX XMLCite \textit{L. Chen} et al., Nonlinear Anal., Real World Appl. 12, No. 2, 1002--1012 (2011; Zbl 1206.35167) Full Text: DOI
Chen, Xiuqing The regularity of global weak solution for a fourth-order parabolic equation. (English) Zbl 1482.35123 Adv. Math., Beijing 38, No. 3, 331-339 (2009). MSC: 35K59 35B65 PDFBibTeX XMLCite \textit{X. Chen}, Adv. Math., Beijing 38, No. 3, 331--339 (2009; Zbl 1482.35123)
Chen, Xiuqing; Chen, Li The bipolar quantum drift-diffusion model. (English) Zbl 1179.35043 Acta Math. Sin., Engl. Ser. 25, No. 4, 617-638 (2009). MSC: 35B25 35J60 65M12 65M20 35D30 35K52 PDFBibTeX XMLCite \textit{X. Chen} and \textit{L. Chen}, Acta Math. Sin., Engl. Ser. 25, No. 4, 617--638 (2009; Zbl 1179.35043) Full Text: DOI
Chen, Xiuqing The isentropic quantum drift-diffusion model in two or three space dimensions. (English) Zbl 1173.35518 Z. Angew. Math. Phys. 60, No. 3, 416-437 (2009). MSC: 35K35 35J60 65M12 65M20 81Q20 35K55 35Q60 PDFBibTeX XMLCite \textit{X. Chen}, Z. Angew. Math. Phys. 60, No. 3, 416--437 (2009; Zbl 1173.35518) Full Text: DOI
Chen, Xiuqing; Chen, Li; Jian, Huaiyu Existence, semiclassical limit and long-time behavior of weak solution to quantum drift-diffusion model. (English) Zbl 1171.35329 Nonlinear Anal., Real World Appl. 10, No. 3, 1321-1342 (2009). MSC: 35B40 35K35 35B25 35K55 35Q60 35Q40 PDFBibTeX XMLCite \textit{X. Chen} et al., Nonlinear Anal., Real World Appl. 10, No. 3, 1321--1342 (2009; Zbl 1171.35329) Full Text: DOI
Chen, Li; Chen, Xiuqing Dirichlet-Neumann problem for unipolar isentropic quantum drift-diffusion model. (English) Zbl 1199.35022 Tsinghua Sci. Technol. 13, No. 4, 560-569 (2008). MSC: 35B30 35K35 PDFBibTeX XMLCite \textit{L. Chen} and \textit{X. Chen}, Tsinghua Sci. Technol. 13, No. 4, 560--569 (2008; Zbl 1199.35022) Full Text: DOI
Chen, Xiuqing; Guo, Yingchun The multidimensional bipolar quantum drift-diffusion model. (English) Zbl 1170.35441 Adv. Nonlinear Stud. 8, No. 4, 799-816 (2008). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35K35 35J60 65M12 65M20 PDFBibTeX XMLCite \textit{X. Chen} and \textit{Y. Guo}, Adv. Nonlinear Stud. 8, No. 4, 799--816 (2008; Zbl 1170.35441)
Chen, Xiuqing; Chen, Li; Jian, Huaiyu The Dirichlet problem of the quantum drift-diffusion model. (English) Zbl 1158.35372 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 9, 3084-3092 (2008). MSC: 35K35 35K50 35K55 35Q40 35Q60 PDFBibTeX XMLCite \textit{X. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 9, 3084--3092 (2008; Zbl 1158.35372) Full Text: DOI
Chen, Xiuqing; Chen, Li Initial time layer problem for quantum drift-diffusion model. (English) Zbl 1139.35010 J. Math. Anal. Appl. 343, No. 1, 64-80 (2008). MSC: 35B25 82D37 78A35 PDFBibTeX XMLCite \textit{X. Chen} and \textit{L. Chen}, J. Math. Anal. Appl. 343, No. 1, 64--80 (2008; Zbl 1139.35010) Full Text: DOI
Chen, Xiuqing; Chen, Li; Jian, Huaiyu The existence and long-time behavior of weak solution to bipolar quantum drift-diffusion model. (English) Zbl 1145.35384 Chin. Ann. Math., Ser. B 28, No. 6, 651-664 (2007). MSC: 35K35 35J60 65M12 65M20 35K50 35D05 35B40 PDFBibTeX XMLCite \textit{X. Chen} et al., Chin. Ann. Math., Ser. B 28, No. 6, 651--664 (2007; Zbl 1145.35384) Full Text: DOI
Chen, Xiuqing The global existence and semiclassical limit of weak solutions to multidimensional quantum drift-diffusion model. (English) Zbl 1142.35446 Adv. Nonlinear Stud. 7, No. 4, 651-670 (2007). MSC: 35K35 35J60 65M12 65M20 PDFBibTeX XMLCite \textit{X. Chen}, Adv. Nonlinear Stud. 7, No. 4, 651--670 (2007; Zbl 1142.35446) Full Text: DOI
Chen, Xiuqing; Jian, Huaiyu The radial solutions of Monge-Ampère equations and the semi-geostropic system. (English) Zbl 1284.35172 Adv. Nonlinear Stud. 5, No. 4, 587-600 (2005). MSC: 35J60 35Q99 PDFBibTeX XMLCite \textit{X. Chen} and \textit{H. Jian}, Adv. Nonlinear Stud. 5, No. 4, 587--600 (2005; Zbl 1284.35172) Full Text: DOI
Jian, Huaiyu; Liu, Qinghua; Chen, Xiuqing Convexity and symmetry of translating solitons in mean curvature flows. (English) Zbl 1236.53054 Chin. Ann. Math., Ser. B 26, No. 3, 413-422 (2005). MSC: 53C44 35J93 35Q51 37K25 37K40 PDFBibTeX XMLCite \textit{H. Jian} et al., Chin. Ann. Math., Ser. B 26, No. 3, 413--422 (2005; Zbl 1236.53054) Full Text: DOI