THE LOCAL AND GLOBAL EXISTENCE OF THE SOLUTIONS OF HYPERBOLIC-PARABOLIC SYSTEM MODELING BIOLOGICAL PHENOMENA 被引量：6

THE LOCAL AND GLOBAL EXISTENCE OF THE SOLUTIONS OF HYPERBOLIC-PARABOLIC SYSTEM MODELING BIOLOGICAL PHENOMENA

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摘要 The authors prove the local existence and uniqueness of weak solution of a hyperbolic-parabolic system and establish the global existence of the weak solution for this system for the spatial dimension n = 1. The authors prove the local existence and uniqueness of weak solution of a hyperbolic-parabolic system and establish the global existence of the weak solution for this system for the spatial dimension n = 1.

作者吴少华陈化李维喜

机构地区 School of Mathematics and Statistics

出处《Acta Mathematica Scientia》 SCIE CSCD 2008年第1期101-116,共16页 数学物理学报（B辑英文版）

基金 Research supported by the NSFC

关键词 Hyperbolic-parabolic system chemosensitive movement external signal global existence Hyperbolic-parabolic system, chemosensitive movement, external signal, global existence

分类号 O175 [理学—基础数学]

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参考文献12

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同被引文献9

1Chen Hua Wu Shaohua.THE FREE BOUNDARY PROBLEM IN BIOLOGICAL PHENOMENA[J].Journal of Partial Differential Equations,2007,20(2):155-168. 被引量：7
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6

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,ZHOU Kai.Hyperbolic-Parabolic Type Chemotaxis Systems in RN[J].Journal of Partial Differential Equations,2017,30(4):329-343. 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：1
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.

二级引证文献4

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.

1WU 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
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THE LOCAL AND GLOBAL EXISTENCE OF THE SOLUTIONS OF HYPERBOLIC-PARABOLIC SYSTEM MODELING BIOLOGICAL PHENOMENA 被引量：6

参考文献12

同被引文献9

引证文献6

二级引证文献4

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