Gao, Hongwei; Long, Ziang; Xin, Jack; Yu, Yifeng Existence of an effective burning velocity in a cellular flow for the curvature \(G\)-equation proved using a game analysis. (English) Zbl 07796597 J. Geom. Anal. 34, No. 3, Paper No. 81, 48 p. (2024). MSC: 76V05 76M50 76M45 76N20 PDFBibTeX XMLCite \textit{H. Gao} et al., J. Geom. Anal. 34, No. 3, Paper No. 81, 48 p. (2024; Zbl 07796597) Full Text: DOI arXiv
Liu, Yu-Yu; Xin, Jack Synchronized front propagation and delayed flame quenching in strain G-equation and time-periodic cellular flows. (English) Zbl 1519.76113 Minimax Theory Appl. 8, No. 1, 109-119 (2023). MSC: 76F80 76V05 76M20 76M45 80A25 PDFBibTeX XMLCite \textit{Y.-Y. Liu} and \textit{J. Xin}, Minimax Theory Appl. 8, No. 1, 109--119 (2023; Zbl 1519.76113) Full Text: arXiv Link
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen A convergent interacting particle method and computation of KPP front speeds in chaotic flows. (English) Zbl 07538279 SIAM J. Numer. Anal. 60, No. 3, 1136-1167 (2022). MSC: 65-XX 35K57 47D08 65C35 65L20 65N25 PDFBibTeX XMLCite \textit{J. Lyu} et al., SIAM J. Numer. Anal. 60, No. 3, 1136--1167 (2022; Zbl 07538279) Full Text: DOI arXiv
Gu, Haotian; Xin, Jack; Zhang, Zhiwen Error estimates for a POD method for solving viscous G-equations in incompressible cellular flows. (English) Zbl 1469.65156 SIAM J. Sci. Comput. 43, No. 1, A636-A662 (2021). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M99 65M12 65M15 70H20 76F25 76V05 80A25 35F21 PDFBibTeX XMLCite \textit{H. Gu} et al., SIAM J. Sci. Comput. 43, No. 1, A636--A662 (2021; Zbl 1469.65156) Full Text: DOI arXiv
Murphy, N. B.; Cherkaev, E.; Zhu, J.; Xin, J.; Golden, K. M. Spectral analysis and computation for homogenization of advection diffusion processes in steady flows. (English) Zbl 1432.86010 J. Math. Phys. 61, No. 1, 013102, 34 p. (2020). MSC: 86A05 76R50 60J60 PDFBibTeX XMLCite \textit{N. B. Murphy} et al., J. Math. Phys. 61, No. 1, 013102, 34 p. (2020; Zbl 1432.86010) Full Text: DOI
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng Curvature effect in shear flow: slowdown of turbulent flame speeds with Markstein number. (English) Zbl 1412.80007 Commun. Math. Phys. 359, No. 2, 515-533 (2018). Reviewer: Abdolrahman Razani (Qazvin) MSC: 80A25 76F99 PDFBibTeX XMLCite \textit{J. Lyu} et al., Commun. Math. Phys. 359, No. 2, 515--533 (2018; Zbl 1412.80007) Full Text: DOI arXiv
McMillen, Tyler; Xin, Jack; Yu, Yifeng; Zlatoš, Andrej Ballistic orbits and front speed enhancement for ABC flows. (English) Zbl 1418.34080 SIAM J. Appl. Dyn. Syst. 15, No. 3, 1753-1782 (2016). MSC: 34C11 34E10 37J35 37J40 70H08 PDFBibTeX XMLCite \textit{T. McMillen} et al., SIAM J. Appl. Dyn. Syst. 15, No. 3, 1753--1782 (2016; Zbl 1418.34080) Full Text: DOI arXiv
Xin, Jack; Yu, Yifeng Front quenching in the G-equation model induced by straining of cellular flow. (English) Zbl 1305.35144 Arch. Ration. Mech. Anal. 214, No. 1, 1-34 (2014). MSC: 35Q79 80A25 76F10 35F21 80M40 76V05 91A80 91A23 49N70 PDFBibTeX XMLCite \textit{J. Xin} and \textit{Y. Yu}, Arch. Ration. Mech. Anal. 214, No. 1, 1--34 (2014; Zbl 1305.35144) Full Text: DOI
Xin, Jack; Yu, Yifeng Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models. (English) Zbl 1366.35018 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 6, 1049-1068 (2013). MSC: 35F21 35Q35 80A25 70H20 76F99 PDFBibTeX XMLCite \textit{J. Xin} and \textit{Y. Yu}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 6, 1049--1068 (2013; Zbl 1366.35018) Full Text: DOI
Shen, Lihua; Xin, Jack; Zhou, Aihui Finite element computation of KPP front speeds in cellular and cat’s eye flows. (English) Zbl 1366.76055 J. Sci. Comput. 55, No. 2, 455-470 (2013). MSC: 76M10 65N30 65N25 PDFBibTeX XMLCite \textit{L. Shen} et al., J. Sci. Comput. 55, No. 2, 455--470 (2013; Zbl 1366.76055) Full Text: DOI
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng A numerical study of turbulent flame speeds of curvature and strain G-equations in cellular flows. (English) Zbl 1259.35197 Physica D 243, No. 1, 20-31 (2013). MSC: 35Q79 35Q30 35K57 PDFBibTeX XMLCite \textit{Y.-Y. Liu} et al., Physica D 243, No. 1, 20--31 (2013; Zbl 1259.35197) Full Text: DOI arXiv
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng Asymptotics for turbulent flame speeds of the viscous \(G\)-equation enhanced by cellular and shear flows. (English) Zbl 1269.76127 Arch. Ration. Mech. Anal. 202, No. 2, 461-492 (2011). MSC: 76V05 76F10 35Q35 80A25 PDFBibTeX XMLCite \textit{Y.-Y. Liu} et al., Arch. Ration. Mech. Anal. 202, No. 2, 461--492 (2011; Zbl 1269.76127) Full Text: DOI arXiv
Nolen, James; Xin, Jack Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows. (English) Zbl 1177.35172 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 3, 815-839 (2009). MSC: 35Q35 35B40 76M30 35B45 76M35 PDFBibTeX XMLCite \textit{J. Nolen} and \textit{J. Xin}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 3, 815--839 (2009; Zbl 1177.35172) Full Text: DOI EuDML
Nolen, James; Xin, Jack Computing reactive front speeds in random flows by variational principle. (English) Zbl 1155.76061 Physica D 237, No. 23, 3172-3177 (2008). MSC: 76V05 76M30 76M35 PDFBibTeX XMLCite \textit{J. Nolen} and \textit{J. Xin}, Physica D 237, No. 23, 3172--3177 (2008; Zbl 1155.76061) Full Text: DOI
Nolen, James; Xin, Jack A variational principle for KPP front speeds in temporally random shear flows. (English) Zbl 1114.35095 Commun. Math. Phys. 269, No. 2, 493-532 (2007). MSC: 35K55 76F10 76M35 60H10 60H30 60F10 35R60 PDFBibTeX XMLCite \textit{J. Nolen} and \textit{J. Xin}, Commun. Math. Phys. 269, No. 2, 493--532 (2007; Zbl 1114.35095) Full Text: DOI arXiv