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A model describing the growth and the size distribution of multiple metastatic tumors
1.  EquipeProjet SIMPAF, Centre de Recherche INRIA Lille Nord Europe, Parc Scientifique de la Haute Borne, 40, avenue Halley B.P. 70478, F59658 Villeneuve d'Ascq cedex, France, France, France 
[1] 
Fujun Zhou, Junde Wu, Shangbin Cui. Existence and asymptotic behavior of solutions to a moving boundary problem modeling the growth of multilayer tumors. Communications on Pure & Applied Analysis, 2009, 8 (5) : 16691688. doi: 10.3934/cpaa.2009.8.1669 
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Junde Wu, Shangbin Cui. Asymptotic behavior of solutions of a free boundary problem modelling the growth of tumors with Stokes equations. Discrete & Continuous Dynamical Systems  A, 2009, 24 (2) : 625651. doi: 10.3934/dcds.2009.24.625 
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Florian Schneider, Jochen Kall, Graham Alldredge. A realizabilitypreserving highorder kinetic scheme using WENO reconstruction for entropybased moment closures of linear kinetic equations in slab geometry. Kinetic & Related Models, 2016, 9 (1) : 193215. doi: 10.3934/krm.2016.9.193 
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Matteo Bonforte, Jean Dolbeault, Matteo Muratori, Bruno Nazaret. Weighted fast diffusion equations (Part Ⅱ): Sharp asymptotic rates of convergence in relative error by entropy methods. Kinetic & Related Models, 2017, 10 (1) : 6191. doi: 10.3934/krm.2017003 
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Minkyu Kwak, Kyong Yu. The asymptotic behavior of solutions of a semilinear parabolic equation. Discrete & Continuous Dynamical Systems  A, 1996, 2 (4) : 483496. doi: 10.3934/dcds.1996.2.483 
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Carmen Cortázar, Manuel Elgueta, Fernando Quirós, Noemí Wolanski. Asymptotic behavior for a nonlocal diffusion equation on the half line. Discrete & Continuous Dynamical Systems  A, 2015, 35 (4) : 13911407. doi: 10.3934/dcds.2015.35.1391 
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Yongqin Liu. Asymptotic behavior of solutions to a nonlinear plate equation with memory. Communications on Pure & Applied Analysis, 2017, 16 (2) : 533556. doi: 10.3934/cpaa.2017027 
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Shota Sato, Eiji Yanagida. Asymptotic behavior of singular solutions for a semilinear parabolic equation. Discrete & Continuous Dynamical Systems  A, 2012, 32 (11) : 40274043. doi: 10.3934/dcds.2012.32.4027 
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Xiaomin Zhou. Relative entropy dimension of topological dynamical systems. Discrete & Continuous Dynamical Systems  A, 2019, 39 (11) : 66316642. doi: 10.3934/dcds.2019288 
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Nicolas Hegoburu. Time optimal internal controls for the LotkaMcKendrick equation with spatial diffusion. Mathematical Control & Related Fields, 2019, 9 (4) : 697718. doi: 10.3934/mcrf.2019047 
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John Kieffer and Enhui Yang. Ergodic behavior of graph entropy. Electronic Research Announcements, 1997, 3: 1116. 
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Kin Ming Hui, Soojung Kim. Asymptotic large time behavior of singular solutions of the fast diffusion equation. Discrete & Continuous Dynamical Systems  A, 2017, 37 (11) : 59435977. doi: 10.3934/dcds.2017258 
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Genni Fragnelli, A. Idrissi, L. Maniar. The asymptotic behavior of a population equation with diffusion and delayed birth process. Discrete & Continuous Dynamical Systems  B, 2007, 7 (4) : 735754. doi: 10.3934/dcdsb.2007.7.735 
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Hongwei Zhang, Qingying Hu. Asymptotic behavior and nonexistence of wave equation with nonlinear boundary condition. Communications on Pure & Applied Analysis, 2005, 4 (4) : 861869. doi: 10.3934/cpaa.2005.4.861 
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Yan Zhang. Asymptotic behavior of a nonlocal KPP equation with an almost periodic nonlinearity. Discrete & Continuous Dynamical Systems  A, 2016, 36 (9) : 51835199. doi: 10.3934/dcds.2016025 
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Guanggan Chen, Jian Zhang. Asymptotic behavior for a stochastic wave equation with dynamical boundary conditions. Discrete & Continuous Dynamical Systems  B, 2012, 17 (5) : 14411453. doi: 10.3934/dcdsb.2012.17.1441 
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Yinbin Deng, Qi Gao. Asymptotic behavior of the positive solutions for an elliptic equation with Hardy term. Discrete & Continuous Dynamical Systems  A, 2009, 24 (2) : 367380. doi: 10.3934/dcds.2009.24.367 
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Bhargav Kumar Kakumani, Suman Kumar Tumuluri. Asymptotic behavior of the solution of a diffusion equation with nonlocal boundary conditions. Discrete & Continuous Dynamical Systems  B, 2017, 22 (2) : 407419. doi: 10.3934/dcdsb.2017019 
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