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Periodic traveling waves of a mean curvature flow in heterogeneous media
1.  Department of Mathematics, Tongji University, Shanghai 200092 
[1] 
Bendong Lou. Traveling wave solutions of a generalized curvature flow equation in the plane. Conference Publications, 2007, 2007 (Special) : 687693. doi: 10.3934/proc.2007.2007.687 
[2] 
Changfeng Gui, Huaiyu Jian, Hongjie Ju. Properties of translating solutions to mean curvature flow. Discrete and Continuous Dynamical Systems, 2010, 28 (2) : 441453. doi: 10.3934/dcds.2010.28.441 
[3] 
Giulio Colombo, Luciano Mari, Marco Rigoli. Remarks on mean curvature flow solitons in warped products. Discrete and Continuous Dynamical Systems  S, 2020, 13 (7) : 19571991. doi: 10.3934/dcdss.2020153 
[4] 
Zhengchao Ji. Cylindrical estimates for mean curvature flow in hyperbolic spaces. Communications on Pure and Applied Analysis, 2021, 20 (3) : 11991211. doi: 10.3934/cpaa.2021016 
[5] 
Fathi Dkhil, Angela Stevens. Traveling wave speeds in rapidly oscillating media. Discrete and Continuous Dynamical Systems, 2009, 25 (1) : 89108. doi: 10.3934/dcds.2009.25.89 
[6] 
Tobias H. Colding and Bruce Kleiner. Singularity structure in mean curvature flow of meanconvex sets. Electronic Research Announcements, 2003, 9: 121124. 
[7] 
ZhenHui Bu, ZhiCheng Wang. Curved fronts of monostable reactionadvectiondiffusion equations in spacetime periodic media. Communications on Pure and Applied Analysis, 2016, 15 (1) : 139160. doi: 10.3934/cpaa.2016.15.139 
[8] 
Guo Lin, Shuxia Pan. Periodic traveling wave solutions of periodic integrodifference systems. Discrete and Continuous Dynamical Systems  B, 2020, 25 (8) : 30053031. doi: 10.3934/dcdsb.2020049 
[9] 
Dimitra Antonopoulou, Georgia Karali. A nonlinear partial differential equation for the volume preserving mean curvature flow. Networks and Heterogeneous Media, 2013, 8 (1) : 922. doi: 10.3934/nhm.2013.8.9 
[10] 
Daehwan Kim, Juncheol Pyo. Existence and asymptotic behavior of helicoidal translating solitons of the mean curvature flow. Discrete and Continuous Dynamical Systems, 2018, 38 (11) : 58975919. doi: 10.3934/dcds.2018256 
[11] 
Kin Ming Hui. Existence of selfsimilar solutions of the inverse mean curvature flow. Discrete and Continuous Dynamical Systems, 2019, 39 (2) : 863880. doi: 10.3934/dcds.2019036 
[12] 
Petr Pauš, Shigetoshi Yazaki. Segmentation of color images using mean curvature flow and parametric curves. Discrete and Continuous Dynamical Systems  S, 2021, 14 (3) : 11231132. doi: 10.3934/dcdss.2020389 
[13] 
Nicolas Dirr, Federica Dragoni, Max von Renesse. Evolution by mean curvature flow in subRiemannian geometries: A stochastic approach. Communications on Pure and Applied Analysis, 2010, 9 (2) : 307326. doi: 10.3934/cpaa.2010.9.307 
[14] 
Yoshikazu Giga, Yukihiro Seki, Noriaki Umeda. On decay rate of quenching profile at space infinity for axisymmetric mean curvature flow. Discrete and Continuous Dynamical Systems, 2011, 29 (4) : 14631470. doi: 10.3934/dcds.2011.29.1463 
[15] 
Keisuke Takasao. Existence of weak solution for mean curvature flow with transport term and forcing term. Communications on Pure and Applied Analysis, 2020, 19 (5) : 26552677. doi: 10.3934/cpaa.2020116 
[16] 
Sigurd Angenent. Formal asymptotic expansions for symmetric ancient ovals in mean curvature flow. Networks and Heterogeneous Media, 2013, 8 (1) : 18. doi: 10.3934/nhm.2013.8.1 
[17] 
Hongjie Ju, Jian Lu, Huaiyu Jian. Translating solutions to mean curvature flow with a forcing term in Minkowski space. Communications on Pure and Applied Analysis, 2010, 9 (4) : 963973. doi: 10.3934/cpaa.2010.9.963 
[18] 
ShiLiang Wu, ChengHsiung Hsu. Propagation of monostable traveling fronts in discrete periodic media with delay. Discrete and Continuous Dynamical Systems, 2018, 38 (6) : 29873022. doi: 10.3934/dcds.2018128 
[19] 
Zigen Ouyang, Chunhua Ou. Global stability and convergence rate of traveling waves for a nonlocal model in periodic media. Discrete and Continuous Dynamical Systems  B, 2012, 17 (3) : 9931007. doi: 10.3934/dcdsb.2012.17.993 
[20] 
Jianping Gao, Shangjiang Guo, Wenxian Shen. Persistence and time periodic positive solutions of doubly nonlocal FisherKPP equations in time periodic and space heterogeneous media. Discrete and Continuous Dynamical Systems  B, 2021, 26 (5) : 26452676. doi: 10.3934/dcdsb.2020199 
2020 Impact Factor: 1.392
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