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Wellposedness and stability of a multidimensional moving boundary problem modeling the growth of tumor cord
1.  Department of Mathematics, South China University of Technology, Guangzhou, Guangdong 510640, China 
2.  Institute of Mathematics, Sun YatSen University, Guangzhou, Guangdong 510275, China 
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Iñigo U. Erneta. Wellposedness for boundary value problems for coagulationfragmentation equations. Kinetic and Related Models, 2020, 13 (4) : 815835. doi: 10.3934/krm.2020028 
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George Avalos, Pelin G. Geredeli, Justin T. Webster. Semigroup wellposedness of a linearized, compressible fluid with an elastic boundary. Discrete and Continuous Dynamical Systems  B, 2018, 23 (3) : 12671295. doi: 10.3934/dcdsb.2018151 
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Ivonne Rivas, Muhammad Usman, BingYu Zhang. Global wellposedness and asymptotic behavior of a class of initialboundaryvalue problem of the KortewegDe Vries equation on a finite domain. Mathematical Control and Related Fields, 2011, 1 (1) : 6181. doi: 10.3934/mcrf.2011.1.61 
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Zhaohui Huo, Boling Guo. The wellposedness of Cauchy problem for the generalized nonlinear dispersive equation. Discrete and Continuous Dynamical Systems, 2005, 12 (3) : 387402. doi: 10.3934/dcds.2005.12.387 
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Hongmei Cao, HaoGuang Li, ChaoJiang Xu, Jiang Xu. Wellposedness of Cauchy problem for Landau equation in critical Besov space. Kinetic and Related Models, 2019, 12 (4) : 829884. doi: 10.3934/krm.2019032 
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Changyan Li, Hui Li. Wellposedness of the twophase flow problem in incompressible MHD. Discrete and Continuous Dynamical Systems, 2021, 41 (12) : 56095632. doi: 10.3934/dcds.2021090 
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Janet Dyson, Rosanna VillellaBressan, G. F. Webb. The evolution of a tumor cord cell population. Communications on Pure and Applied Analysis, 2004, 3 (3) : 331352. doi: 10.3934/cpaa.2004.3.331 
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Xiaoqiang Dai, Shaohua Chen. Global wellposedness for the Cauchy problem of generalized Boussinesq equations in the control problem regarding initial data. Discrete and Continuous Dynamical Systems  S, 2021, 14 (12) : 42014211. doi: 10.3934/dcdss.2021114 
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Hua Chen, Shaohua Wu. The moving boundary problem in a chemotaxis model. Communications on Pure and Applied Analysis, 2012, 11 (2) : 735746. doi: 10.3934/cpaa.2012.11.735 
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K. Domelevo. Wellposedness of a kinetic model of dispersed twophase flow with pointparticles and stability of travelling waves. Discrete and Continuous Dynamical Systems  B, 2002, 2 (4) : 591607. doi: 10.3934/dcdsb.2002.2.591 
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Stefan Meyer, Mathias Wilke. Global wellposedness and exponential stability for Kuznetsov's equation in $L_p$spaces. Evolution Equations and Control Theory, 2013, 2 (2) : 365378. doi: 10.3934/eect.2013.2.365 
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Aissa Guesmia, Nassereddine Tatar. Some wellposedness and stability results for abstract hyperbolic equations with infinite memory and distributed time delay. Communications on Pure and Applied Analysis, 2015, 14 (2) : 457491. doi: 10.3934/cpaa.2015.14.457 
[19] 
Jiang Xu. Wellposedness and stability of classical solutions to the multidimensional full hydrodynamic model for semiconductors. Communications on Pure and Applied Analysis, 2009, 8 (3) : 10731092. doi: 10.3934/cpaa.2009.8.1073 
[20] 
Kelin Li, Huafei Di. On the wellposedness and stability for the fourthorder Schrödinger equation with nonlinear derivative term. Discrete and Continuous Dynamical Systems  S, 2021, 14 (12) : 42934320. doi: 10.3934/dcdss.2021122 
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