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The global attractor of the damped, forced generalized Korteweg de VriesBenjaminOno equation in $L^2$
Convergence to Vshaped fronts in curvature flows for spatially nondecaying initial perturbations
1.  Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama 2121W838, Meguroku, Tokyo 1528552 
2.  Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo 1528552 
[1] 
Bendong Lou. Periodic traveling waves of a mean curvature flow in heterogeneous media. Discrete & Continuous Dynamical Systems, 2009, 25 (1) : 231249. doi: 10.3934/dcds.2009.25.231 
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Johanna Ridder, Wen Shen. Traveling waves for nonlocal models of traffic flow. Discrete & Continuous Dynamical Systems, 2019, 39 (7) : 40014040. doi: 10.3934/dcds.2019161 
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Wen Shen, Karim ShikhKhalil. Traveling waves for a microscopic model of traffic flow. Discrete & Continuous Dynamical Systems, 2018, 38 (5) : 25712589. doi: 10.3934/dcds.2018108 
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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 
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Bendong Lou. Spiral rotating waves of a geodesic curvature flow on the unit sphere. Discrete & Continuous Dynamical Systems  B, 2012, 17 (3) : 933942. doi: 10.3934/dcdsb.2012.17.933 
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Zigen Ouyang, Chunhua Ou. Global stability and convergence rate of traveling waves for a nonlocal model in periodic media. Discrete & Continuous Dynamical Systems  B, 2012, 17 (3) : 9931007. doi: 10.3934/dcdsb.2012.17.993 
[7] 
Masashi Ohnawa. Convergence rates towards the traveling waves for a model system of radiating gas with discontinuities. Kinetic & Related Models, 2012, 5 (4) : 857872. doi: 10.3934/krm.2012.5.857 
[8] 
Jerry L. Bona, Thierry Colin, Colette Guillopé. Propagation of longcrested water waves. Ⅱ. Bore propagation. Discrete & Continuous Dynamical Systems, 2019, 39 (10) : 55435569. doi: 10.3934/dcds.2019244 
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Wen Shen. Traveling waves for conservation laws with nonlocal flux for traffic flow on rough roads. Networks & Heterogeneous Media, 2019, 14 (4) : 709732. doi: 10.3934/nhm.2019028 
[10] 
Wenzhang Huang. Weakly coupled traveling waves for a model of growth and competition in a flow reactor. Mathematical Biosciences & Engineering, 2006, 3 (1) : 7987. doi: 10.3934/mbe.2006.3.79 
[11] 
XiaoBiao Lin, Stephen Schecter. Traveling waves and shock waves. Discrete & Continuous Dynamical Systems, 2004, 10 (4) : iii. doi: 10.3934/dcds.2004.10.4i 
[12] 
Jerry L. Bona, Angel Durán, Dimitrios Mitsotakis. Solitarywave solutions of BenjaminOno and other systems for internal waves. I. approximations. Discrete & Continuous Dynamical Systems, 2021, 41 (1) : 87111. doi: 10.3934/dcds.2020215 
[13] 
Wenzhang Huang. Coexistence of traveling waves for a model of microbial growth and competition in a flow reactor. Discrete & Continuous Dynamical Systems, 2009, 24 (3) : 883896. doi: 10.3934/dcds.2009.24.883 
[14] 
Jonatan Lenells. Traveling waves in compressible elastic rods. Discrete & Continuous Dynamical Systems  B, 2006, 6 (1) : 151167. doi: 10.3934/dcdsb.2006.6.151 
[15] 
Leif Arkeryd, Raffaele Esposito, Rossana Marra, Anne Nouri. Ghost effect by curvature in planar Couette flow. Kinetic & Related Models, 2011, 4 (1) : 109138. doi: 10.3934/krm.2011.4.109 
[16] 
Changfeng Gui, Huaiyu Jian, Hongjie Ju. Properties of translating solutions to mean curvature flow. Discrete & Continuous Dynamical Systems, 2010, 28 (2) : 441453. doi: 10.3934/dcds.2010.28.441 
[17] 
Giulio Colombo, Luciano Mari, Marco Rigoli. Remarks on mean curvature flow solitons in warped products. Discrete & Continuous Dynamical Systems  S, 2020, 13 (7) : 19571991. doi: 10.3934/dcdss.2020153 
[18] 
Zhengchao Ji. Cylindrical estimates for mean curvature flow in hyperbolic spaces. Communications on Pure & Applied Analysis, 2021, 20 (3) : 11991211. doi: 10.3934/cpaa.2021016 
[19] 
Xiaojie Hou, Wei Feng. Traveling waves and their stability in a coupled reaction diffusion system. Communications on Pure & Applied Analysis, 2011, 10 (1) : 141160. doi: 10.3934/cpaa.2011.10.141 
[20] 
Tong Li, Jeungeun Park. Traveling waves in a chemotaxis model with logistic growth. Discrete & Continuous Dynamical Systems  B, 2019, 24 (12) : 64656480. doi: 10.3934/dcdsb.2019147 
2019 Impact Factor: 1.338
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