一类强交错扩散的捕食模型弱解的整体存在性

李慧玲

doi:10.3879/j.issn.1000-0887.2009.06.007

一类强交错扩散的捕食模型弱解的整体存在性

doi: 10.3879/j.issn.1000-0887.2009.06.007

李慧玲

东南大学数学系,南京 210018

基金项目: 国家自然科学基金资助项目(10701024;10601011)

详细信息

作者简介:
李慧玲(1977- ),女,湖南人,讲师,博士(E-mail:lihuiling_seu@yahoo.com.cn).

中图分类号: O175.26
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- 被引次数: 0
出版历程
- 收稿日期: 2008-09-22
- 修回日期: 2009-04-21
- 刊出日期: 2009-06-15

Global Existence of Weak Solutions to a Prey-Predator Model With Strong Cross-Diffusion

LI Hui-ling

Department of Mathematics, Southeast University, Nanjing 210018, P. R. China

摘要

摘要: 考虑一类带有强交错扩散项的捕食模型解的整体存在性．借助于有限差分方法和熵不等式的相关性质及结论，证明了在高维空间上，该问题有整体存在的弱解．此外，还说明了所得的这个弱解是非负解．
- 捕食模型 /
- 强交错扩散 /
- 熵泛函 /
- 弱解的存在性 /
- Orlicz空间
Abstract: By using finite differences and entropy inequalities,the global existence of weak solutions to a multidimensional parabolic strongly coupled prey-predator model is obtained.Furthermore,the non-negativity of such solution is also given.
- prey-predator model /
- strong cross-diffusion /
- entropy functional /
- existence of weak solutions /
- Orlicz space

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参考文献(22)

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