He, Siming; Tadmor, Eitan; Zlatoš, Andrej On the fast spreading scenario. (English) Zbl 07750991 Commun. Am. Math. Soc. 2, 149-171 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K57 35Q35 35B40 PDFBibTeX XMLCite \textit{S. He} et al., Commun. Am. Math. Soc. 2, 149--171 (2022; Zbl 07750991) Full Text: DOI arXiv
He, Siming; Kiselev, Alexander Stirring speeds up chemical reaction. (English) Zbl 1497.92371 Nonlinearity 35, No. 8, 4599-4623 (2022). MSC: 92E20 35K57 76D05 PDFBibTeX XMLCite \textit{S. He} and \textit{A. Kiselev}, Nonlinearity 35, No. 8, 4599--4623 (2022; Zbl 1497.92371) Full Text: DOI arXiv
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
Tzella, Alexandra; Vanneste, Jacques Chemical front propagation in periodic flows: FKPP versus G. (English) Zbl 1412.80008 SIAM J. Appl. Math. 79, No. 1, 131-152 (2019). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 80A32 80A25 35F21 37M05 PDFBibTeX XMLCite \textit{A. Tzella} and \textit{J. Vanneste}, SIAM J. Appl. Math. 79, No. 1, 131--152 (2019; Zbl 1412.80008) Full Text: DOI arXiv
Dietrich, Laurent; Roquejoffre, Jean-Michel Front propagation directed by a line of fast diffusion: large diffusion and large time asymptotics. (English. French summary) Zbl 1430.35117 J. Éc. Polytech., Math. 4, 141-176 (2017). MSC: 35K51 35B40 35C07 35K57 PDFBibTeX XMLCite \textit{L. Dietrich} and \textit{J.-M. Roquejoffre}, J. Éc. Polytech., Math. 4, 141--176 (2017; Zbl 1430.35117) Full Text: DOI arXiv
Dietrich, Laurent Velocity enhancement of reaction-diffusion fronts by a line of fast diffusion. (English) Zbl 1364.35140 Trans. Am. Math. Soc. 369, No. 5, 3221-3252 (2017). Reviewer: Joseph Shomberg (Providence) MSC: 35K57 35H10 35C07 PDFBibTeX XMLCite \textit{L. Dietrich}, Trans. Am. Math. Soc. 369, No. 5, 3221--3252 (2017; Zbl 1364.35140) 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
Zu, Penghe; Chen, Long; Xin, Jack A computational study of residual KPP front speeds in time-periodic cellular flows in the small diffusion limit. (English) Zbl 1364.76105 Physica D 311-312, 37-44 (2015). MSC: 76M10 PDFBibTeX XMLCite \textit{P. Zu} et al., Physica D 311--312, 37--44 (2015; Zbl 1364.76105) Full Text: DOI arXiv
Nadin, Gregoire How does the spreading speed associated with the Fisher-KPP equation depend on random stationary diffusion and reaction terms? (English) Zbl 1334.35128 Discrete Contin. Dyn. Syst., Ser. B 20, No. 6, 1785-1803 (2015). MSC: 35K57 35B40 35P15 92D25 PDFBibTeX XMLCite \textit{G. Nadin}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 6, 1785--1803 (2015; Zbl 1334.35128) Full Text: DOI arXiv
Tzella, Alexandra; Vanneste, Jacques FKPP fronts in cellular flows: the large-Péclet regime. (English) Zbl 1327.76163 SIAM J. Appl. Math. 75, No. 4, 1789-1816 (2015). MSC: 76V05 76R99 35K57 PDFBibTeX XMLCite \textit{A. Tzella} and \textit{J. Vanneste}, SIAM J. Appl. Math. 75, No. 4, 1789--1816 (2015; Zbl 1327.76163) Full Text: DOI arXiv
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
Hamel, François; Zlatoš, Andrej Speed-up of combustion fronts in shear flows. (English) Zbl 1283.35081 Math. Ann. 356, No. 3, 845-867 (2013). MSC: 35Q35 35K57 35B40 80A25 35A01 PDFBibTeX XMLCite \textit{F. Hamel} and \textit{A. Zlatoš}, Math. Ann. 356, No. 3, 845--867 (2013; Zbl 1283.35081) Full Text: DOI arXiv
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
Zlatoš, Andrej Reaction-diffusion front speed enhancement by flows. (English) Zbl 1328.35105 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 5, 711-726 (2011). MSC: 35K57 35B40 35C07 80A25 35R60 PDFBibTeX XMLCite \textit{A. Zlatoš}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 5, 711--726 (2011; Zbl 1328.35105) Full Text: DOI arXiv
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai The speed of propagation for KPP type problems. II: General domains. (English) Zbl 1197.35073 J. Am. Math. Soc. 23, No. 1, 1-34 (2010). MSC: 35C07 35A08 35B30 35K58 35K57 35B40 35K15 PDFBibTeX XMLCite \textit{H. Berestycki} et al., J. Am. Math. Soc. 23, No. 1, 1--34 (2010; Zbl 1197.35073) Full Text: DOI
Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya The explosion problem in a flow. (English) Zbl 1204.35131 J. Anal. Math. 110, 31-65 (2010). Reviewer: Luisa Consiglieri (Reguengo) MSC: 35Q35 35J60 35B09 35B30 76D03 PDFBibTeX XMLCite \textit{H. Berestycki} et al., J. Anal. Math. 110, 31--65 (2010; Zbl 1204.35131) Full Text: DOI arXiv
Zlatoš, Andrej Sharp asymptotics for KPP pulsating front speed-up and diffusion enhancement by flows. (English) Zbl 1185.35205 Arch. Ration. Mech. Anal. 195, No. 2, 441-453 (2010). MSC: 35Q35 76R50 76V05 PDFBibTeX XMLCite \textit{A. Zlatoš}, Arch. Ration. Mech. Anal. 195, No. 2, 441--453 (2010; Zbl 1185.35205) Full Text: DOI arXiv
Hamel, François; Nadirashvili, Nikolai Extinction versus persistence in strong oscillating flows. (English) Zbl 1186.35161 Arch. Ration. Mech. Anal. 195, No. 1, 205-223 (2010). MSC: 35Q35 76R99 35B27 76M50 PDFBibTeX XMLCite \textit{F. Hamel} and \textit{N. Nadirashvili}, Arch. Ration. Mech. Anal. 195, No. 1, 205--223 (2010; Zbl 1186.35161) Full Text: DOI
Pomeau, Y. Diffusion and reaction-diffusion in steady flows at large Péclet numbers. (English) Zbl 1298.76167 Weiss, Jeffrey B. (ed.) et al., Transport and mixing in geophysical flows. Selected papers based on the presentations at the 2004 summer course on ‘Transport in geophysical flows’ of the French-Italian school on ‘Fundamental processes in geophysical and environmental flows. Berlin: Springer (ISBN 978-3-540-75214-1/hbk). Lecture Notes in Physics 744, 71-84 (2008). MSC: 76R50 76V05 35Q35 35K57 PDFBibTeX XMLCite \textit{Y. Pomeau}, Lect. Notes Phys. 744, 71--84 (2008; Zbl 1298.76167) Full Text: DOI
Boffetta, G.; Mazzino, A.; Vulpiani, A. Transport of inert and reactive particles: Lagrangian statistics in turbulent flow. (English) Zbl 1298.76098 Weiss, Jeffrey B. (ed.) et al., Transport and mixing in geophysical flows. Selected papers based on the presentations at the 2004 summer course on ‘Transport in geophysical flows’ of the French-Italian school on ‘Fundamental processes in geophysical and environmental flows. Berlin: Springer (ISBN 978-3-540-75214-1/hbk). Lecture Notes in Physics 744, 37-70 (2008). MSC: 76F25 76F55 76V05 76-02 PDFBibTeX XMLCite \textit{G. Boffetta} et al., Lect. Notes Phys. 744, 37--70 (2008; Zbl 1298.76098) Full Text: DOI
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
Novikov, Alexei; Ryzhik, Lenya Boundary layers and KPP fronts in a cellular flow. (English) Zbl 1109.76064 Arch. Ration. Mech. Anal. 184, No. 1, 23-48 (2007). MSC: 76V05 35Q35 PDFBibTeX XMLCite \textit{A. Novikov} and \textit{L. Ryzhik}, Arch. Ration. Mech. Anal. 184, No. 1, 23--48 (2007; Zbl 1109.76064) Full Text: DOI
Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya Non-planar fronts in Boussinesq reactive flows. (English) Zbl 1157.35469 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 23, No. 4, 407-437 (2006). MSC: 35Q53 76D99 76V05 PDFBibTeX XMLCite \textit{H. Berestycki} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 23, No. 4, 407--437 (2006; Zbl 1157.35469) Full Text: DOI arXiv Numdam EuDML
Berestycki, Henri; Hamel, François; Roques, Lionel Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts. (English) Zbl 1083.92036 J. Math. Pures Appl., IX. Sér. 84, No. 8, 1101-1146 (2005). MSC: 92D40 35K57 35B10 PDFBibTeX XMLCite \textit{H. Berestycki} et al., J. Math. Pures Appl. (9) 84, No. 8, 1101--1146 (2005; Zbl 1083.92036) Full Text: DOI
Berestycki, Henri; Hamel, Francois; Kiselev, Alexander; Ryzhik, Lenya Quenching and propagation in KPP reaction-diffusion equations with a heat loss. (English) Zbl 1087.35051 Arch. Ration. Mech. Anal. 178, No. 1, 57-80 (2005). Reviewer: Chiu Yeung Chan (Lafayette) MSC: 35K57 35B05 PDFBibTeX XMLCite \textit{H. Berestycki} et al., Arch. Ration. Mech. Anal. 178, No. 1, 57--80 (2005; Zbl 1087.35051) Full Text: DOI HAL
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena. (English) Zbl 1123.35033 Commun. Math. Phys. 253, No. 2, 451-480 (2005). Reviewer: N. G. Tomin (Ivanovo) MSC: 35P15 35P20 35J25 35K55 35K57 PDFBibTeX XMLCite \textit{H. Berestycki} et al., Commun. Math. Phys. 253, No. 2, 451--480 (2005; Zbl 1123.35033) Full Text: DOI HAL
Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai The speed of propagation for KPP type problems. I: Periodic framework. (English) Zbl 1142.35464 J. Eur. Math. Soc. (JEMS) 7, No. 2, 173-213 (2005). MSC: 35K57 35K55 35P15 35B10 35B30 35B50 35K15 PDFBibTeX XMLCite \textit{H. Berestycki} et al., J. Eur. Math. Soc. (JEMS) 7, No. 2, 173--213 (2005; Zbl 1142.35464) Full Text: DOI Link
Kiselev, Alexander; Ryzhik, Leonid Enhancement of the traveling front speeds in reaction-diffusion equations with advection. (English) Zbl 1002.35069 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 18, No. 3, 309-358 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 35K57 80A32 35K40 35B45 35B10 PDFBibTeX XMLCite \textit{A. Kiselev} and \textit{L. Ryzhik}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 18, No. 3, 309--358 (2001; Zbl 1002.35069) Full Text: DOI arXiv Numdam EuDML