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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 
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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 and 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 and Continuous Dynamical Systems, 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 and Related Models, 2016, 9 (1) : 193215. doi: 10.3934/krm.2016.9.193 
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Luiza H. F. Andrade, Rui F. Vigelis, Charles C. Cavalcante. A generalized quantum relative entropy. Advances in Mathematics of Communications, 2020, 14 (3) : 413422. doi: 10.3934/amc.2020063 
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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 and Related Models, 2017, 10 (1) : 6191. doi: 10.3934/krm.2017003 
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Yongqin Liu. Asymptotic behavior of solutions to a nonlinear plate equation with memory. Communications on Pure and 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 and Continuous Dynamical Systems, 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 and Continuous Dynamical Systems, 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 and 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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Guoliang Zhang, Shaoqin Zheng, Tao Xiong. A conservative semiLagrangian finite difference WENO scheme based on exponential integrator for onedimensional scalar nonlinear hyperbolic equations. Electronic Research Archive, 2021, 29 (1) : 18191839. doi: 10.3934/era.2020093 
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Genni Fragnelli, A. Idrissi, L. Maniar. The asymptotic behavior of a population equation with diffusion and delayed birth process. Discrete and Continuous Dynamical Systems  B, 2007, 7 (4) : 735754. doi: 10.3934/dcdsb.2007.7.735 
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Hongwei Wang, Amin Esfahani. Wellposedness and asymptotic behavior of the dissipative Ostrovsky equation. Evolution Equations and Control Theory, 2019, 8 (4) : 709735. doi: 10.3934/eect.2019035 
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Kin Ming Hui, Soojung Kim. Asymptotic large time behavior of singular solutions of the fast diffusion equation. Discrete and Continuous Dynamical Systems, 2017, 37 (11) : 59435977. doi: 10.3934/dcds.2017258 
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Yan Zhang. Asymptotic behavior of a nonlocal KPP equation with an almost periodic nonlinearity. Discrete and Continuous Dynamical Systems, 2016, 36 (9) : 51835199. doi: 10.3934/dcds.2016025 
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