THE FREE BOUNDARY PROBLEM IN BIOLOGICAL PHENOMENA 被引量：7

THE FREE BOUNDARY PROBLEM IN BIOLOGICAL PHENOMENA

原文传递

导出

摘要 We prove the local existence of weak solution of a free boundary problem for a hyperbolic-parabolic system.

作者 Chen Hua Wu Shaohua

机构地区 School of Mathematics and Statistics

出处《Journal of Partial Differential Equations》 2007年第2期155-168,共14页 偏微分方程（英文版）

关键词 Hyperbolic-parabolic system free boundary external signal.

分类号 O175.29 [理学—基础数学]

引文网络
相关文献

同被引文献9

1吴少华,陈化,李维喜.THE LOCAL AND GLOBAL EXISTENCE OF THE SOLUTIONS OF HYPERBOLIC-PARABOLIC SYSTEM MODELING BIOLOGICAL PHENOMENA[J].Acta Mathematica Scientia,2008,28(1):101-116. 被引量：6
2Chen Hua Wu Shaohua.HYPERBOLIC-PARABOLIC CHEMOTAXIS SYSTEM WITH NONLINEAR PRODUCT TERMS[J].Journal of Partial Differential Equations,2008,21(1):45-58. 被引量：4
3吴少华.趋化模型中的一个自由边界问题[J].数学学报（中文版）,2010,53(3):515-524. 被引量：4
4WU Shaohua CHEN Hua.Nonlinear Hyperbolic-Parabolic System Modeling Some Biological Phenomena[J].Journal of Partial Differential Equations,2011,24(1):1-14. 被引量：8
5WU Shaohua YUE Bo.On Existence of Local Solutions of a Moving Boundary Problem Modelling Chemotaxis in 1-D[J].Journal of Partial Differential Equations,2014,27(3):268-282. 被引量：5
6WU Shaohua,WANG Chunying,YUE Bo.On Local Existence and Blow-up of a Moving Boundary Problem in 1-D Chemotaxis Model[J].Journal of Partial Differential Equations,2016,29(4):269-285. 被引量：2
7WU Shaohua,ZHOU Kai.Hyperbolic-Parabolic Type Chemotaxis Systems in RN[J].Journal of Partial Differential Equations,2017,30(4):329-343. 被引量：2
8WU Shaohua,CHEN Haiying.A Second-order Hyperbolic Chemotaxis Model[J].Journal of Partial Differential Equations,2019,32(3):269-280. 被引量：2
9陈化,吕文斌,吴少华.SOLVABILITY OF A PARABOLIC-HYPERBOLIC TYPE CHEMOTAXIS SYSTEM IN 1-DIMENSIONAL DOMAIN[J].Acta Mathematica Scientia,2016,36(5):1285-1304. 被引量：6

引证文献7

1王剑苹,吴少华.趋化运动双曲模型弱解的存在唯一性[J].数学学报（中文版）,2015,58(6):993-1000.
2WU Shaohua,WANG Chunying,YUE Bo.On Local Existence and Blow-up of a Moving Boundary Problem in 1-D Chemotaxis Model[J].Journal of Partial Differential Equations,2016,29(4):269-285. 被引量：2
3WU Shaohua,CHEN Haiying.A Second-order Hyperbolic Chemotaxis Model[J].Journal of Partial Differential Equations,2019,32(3):269-280. 被引量：2
4陈化,吕文斌,吴少华.分数阶趋化模型在Besov空间中解的存在性[J].中国科学：数学,2019,49(12):1749-1764. 被引量：2
5WU Shaohua,LIU Lei.Existence of Solutions for a Parabolic System Modelling Chemotaxis with Memory Term[J].Journal of Partial Differential Equations,2020,33(2):158-170. 被引量：1
6WU Shaohua,WANG Pengfei.On Existence of Local Solutions for a Hyperbolic System Modelling Chemotaxis with Memory Term[J].Journal of Partial Differential Equations,2021,34(2):170-185.
7LYU Wenbin.Free Boundaries Problem for a Class of Parabolic Type Chemotaxis Model[J].Journal of Partial Differential Equations,2023,36(4):365-380.

二级引证文献5

1WU Shaohua,LIU Lei.Existence of Solutions for a Parabolic System Modelling Chemotaxis with Memory Term[J].Journal of Partial Differential Equations,2020,33(2):158-170. 被引量：1
2WU Yingdong,WU Shaohua,CHENG Xin,LIU Lei.Finite-Time Blow-Up and Local Existence for Chemotaxis System with a General Memory Term[J].Journal of Partial Differential Equations,2021,34(1):67-82.
3WU Shaohua,WANG Pengfei.On Existence of Local Solutions for a Hyperbolic System Modelling Chemotaxis with Memory Term[J].Journal of Partial Differential Equations,2021,34(2):170-185.
4赵继红,李秀蓉.分数阶趋化模型在临界Besov空间中解的整体存在性[J].数学年刊（A辑）,2022,43(4):367-386.
5XIAO Weiliang,ZHOU Xuhuan.Large Solutions to the Generalized Debye-Hückel System in Fourier-Besov Spaces[J].数学进展,2024,53(5):1059-1070.

1张艳红,刘永明.反应扩散系统全局解的一致有界性和收敛性[J].福州大学学报（自然科学版）,2015,43(5):587-593.
2周鸿兴.非负边界控制抛物型系统的能控性问题[J].科学通报,1997,42(3):246-249. 被引量：1
3李勇,周鸿兴.一类边界控制半线性抛物型系统的逼近能控性[J].系统科学与数学,1996,16(3):235-241. 被引量：1
4易法槐.A FREE BOUNDARY PROBLEM OF TYPE-I SUPERCONDUCTIVITY[J].Acta Mathematicae Applicatae Sinica,1998,14(1):48-57.
5刘俊红,郑素文,李立峰,金琦.一类非线性脉冲抛物型系统在Robin边值条件下的振动性[J].装甲兵工程学院学报,2015,29(3):108-110.
6高存臣,赵林.一类具有连续分布时滞的抛物型系统的无记忆滑模控制器设计[J].信息与控制,2011,40(4):438-444. 被引量：1
7桂江生,应义斌.混沌理论及其在建立神经网络模型中的应用[J].生物数学学报,2005,20(4):463-468. 被引量：5
8罗毅平,邓飞其,胡根生.具连续分布时滞的抛物型系统的变结构控制[J].控制理论与应用,2006,23(4):556-560. 被引量：4
9陈禹年.一类抛物型系统的快速最优控制[J].上海第二工业大学学报,1990,7(1):16-22. 被引量：1
10杨力平.FREE BOUNDARY PROBLEM ARISING FROM EVAPORATION FROM POROUS MEDIUM[J].Acta Mathematicae Applicatae Sinica,1994,10(3):233-251.

Journal of Partial Differential Equations

2007年第2期

浏览历史

内容加载中请稍等...

THE FREE BOUNDARY PROBLEM IN BIOLOGICAL PHENOMENA 被引量：7

同被引文献9

引证文献7

二级引证文献5

相关作者

相关机构

相关主题

浏览历史