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Energy Considerations in a Model of Nematode Sperm Crawling
1.  Institute of Applied Mathematics and Mechanics, National Academy of Science, Ukraine 
2.  IBM Almaden Research Center, 650 Harry Road, San Jose, CA 95120, United States 
3.  Ohio State University, Department of Mathematics, Columbus, OH 43210 
4.  Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556, United States 
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Alessandro Cucchi, Antoine Mellet, Nicolas Meunier. Self polarization and traveling wave in a model for cell crawling migration. Discrete and Continuous Dynamical Systems, 2022, 42 (5) : 23812407. doi: 10.3934/dcds.2021194 
[2] 
ClaudeMichel Brauner, Josephus Hulshof, Luca Lorenzi. Stability of the travelling wave in a 2D weakly nonlinear Stefan problem. Kinetic and Related Models, 2009, 2 (1) : 109134. doi: 10.3934/krm.2009.2.109 
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ChuehHsin Chang, ChiunChuan Chen. Travelling wave solutions of a free boundary problem for a twospecies competitive model. Communications on Pure and Applied Analysis, 2013, 12 (2) : 10651074. doi: 10.3934/cpaa.2013.12.1065 
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Harunori Monobe, Hirokazu Ninomiya. Multiple existence of traveling waves of a free boundary problem describing cell motility. Discrete and Continuous Dynamical Systems  B, 2014, 19 (3) : 789799. doi: 10.3934/dcdsb.2014.19.789 
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Harunori Monobe. Behavior of radially symmetric solutions for a free boundary problem related to cell motility. Discrete and Continuous Dynamical Systems  S, 2015, 8 (5) : 989997. doi: 10.3934/dcdss.2015.8.989 
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Zhaoquan Xu, Jiying Ma. Monotonicity, asymptotics and uniqueness of travelling wave solution of a nonlocal delayed lattice dynamical system. Discrete and Continuous Dynamical Systems, 2015, 35 (10) : 51075131. doi: 10.3934/dcds.2015.35.5107 
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Yoichi Enatsu, Emiko Ishiwata, Takeo Ushijima. Traveling wave solution for a diffusive simple epidemic model with a free boundary. Discrete and Continuous Dynamical Systems  S, 2021, 14 (3) : 835850. doi: 10.3934/dcdss.2020387 
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Chengxia Lei, Yihong Du. Asymptotic profile of the solution to a free boundary problem arising in a shifting climate model. Discrete and Continuous Dynamical Systems  B, 2017, 22 (3) : 895911. doi: 10.3934/dcdsb.2017045 
[9] 
Xiaofeng Ren. Shell structure as solution to a free boundary problem from block copolymer morphology. Discrete and Continuous Dynamical Systems, 2009, 24 (3) : 9791003. doi: 10.3934/dcds.2009.24.979 
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Harunori Monobe, Hirokazu Ninomiya. Traveling wave solutions with convex domains for a free boundary problem. Discrete and Continuous Dynamical Systems, 2017, 37 (2) : 905914. doi: 10.3934/dcds.2017037 
[11] 
ChuehHsin Chang, ChiunChuan Chen, ChihChiang Huang. Traveling wave solutions of a free boundary problem with latent heat effect. Discrete and Continuous Dynamical Systems  B, 2021, 26 (4) : 17971809. doi: 10.3934/dcdsb.2021028 
[12] 
Matthew H. Chan, Peter S. Kim, Robert Marangell. Stability of travelling waves in a Wolbachia invasion. Discrete and Continuous Dynamical Systems  B, 2018, 23 (2) : 609628. doi: 10.3934/dcdsb.2018036 
[13] 
Davide Catania, Marcello D'Abbicco, Paolo Secchi. Stability of the linearized MHDMaxwell free interface problem. Communications on Pure and Applied Analysis, 2014, 13 (6) : 24072443. doi: 10.3934/cpaa.2014.13.2407 
[14] 
Toyohiko Aiki. On the existence of a weak solution to a free boundary problem for a model of a shape memory alloy spring. Discrete and Continuous Dynamical Systems  S, 2012, 5 (1) : 113. doi: 10.3934/dcdss.2012.5.1 
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Zhenhua Guo, Zilai Li. Global existence of weak solution to the free boundary problem for compressible NavierStokes. Kinetic and Related Models, 2016, 9 (1) : 75103. doi: 10.3934/krm.2016.9.75 
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Olga Kharlampovich and Alexei Myasnikov. Tarski's problem about the elementary theory of free groups has a positive solution. Electronic Research Announcements, 1998, 4: 101108. 
[17] 
Feimin Huang, Xiaoding Shi, Yi Wang. Stability of viscous shock wave for compressible NavierStokes equations with free boundary. Kinetic and Related Models, 2010, 3 (3) : 409425. doi: 10.3934/krm.2010.3.409 
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Cunming Liu, Jianli Liu. Stability of traveling wave solutions to Cauchy problem of diagnolizable quasilinear hyperbolic systems. Discrete and Continuous Dynamical Systems, 2014, 34 (11) : 47354749. doi: 10.3934/dcds.2014.34.4735 
[19] 
Jonathan E. Rubin. A nonlocal eigenvalue problem for the stability of a traveling wave in a neuronal medium. Discrete and Continuous Dynamical Systems, 2004, 10 (4) : 925940. doi: 10.3934/dcds.2004.10.925 
[20] 
Haibo Cui, Haiyan Yin. Stability of the composite wave for the inflow problem on the micropolar fluid model. Communications on Pure and Applied Analysis, 2017, 16 (4) : 12651292. doi: 10.3934/cpaa.2017062 
2018 Impact Factor: 1.313
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