检索结果-南通市图书馆

Entire solutions in reaction-advection-diffusion equations with bistable nonlinearities in heterogeneous media

Science China Mathematics 2010年第7期53卷 1772-1783页

作者： Liu NaiWei Li WanTong Yantai Univ Sch Math & Informat Sci Yantai 264005 Peoples R China Lanzhou Univ Sch Math & Stat Lanzhou 730000 Peoples R China

This paper is concerned with entire solutions ( t ∈ R) for bistable reaction-advection-diffusion equations in heterogeneous media. By using traveling curved fronts connecting a constant unstable stationary state and a stable stationary state, we proved that there exist entire solutions behaving as two traveling curved fronts coming from opposite directions, and approaching each other. Furthermore, we prove that such an entire solution is unique and Liapunov stable. The key technique is to characterize the asymptotic behavior of solutions at infinity in term of appropriate subsolutions and supersolutions.

关键词： entire solution reaction-advection-diffusion equation traveling curved front sub-super solution heterogeneous media

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Backstepping output feedback control for a class of coupled reaction-advection-diffusion systems with the same diffusion

Backstepping output feedback control for a class of coupled ...

引用

第37届中国控制会议

作者： Bai-Nan Liu Driss Boutat Da-Yan Liu Yang Tian INSA Centre Val de Loire Université d'Orléans Department of Research Liaoning Engineering Vocational College

This paper aims to design a backstepping observer-based output feedback controller for a class of coupled reactionadvection-diffusion processes with the same *** considered system is endowed with a sensor at the left boundary and an actuator at the right ***,a backstepping observer is designed for the considered system,where the existence of the solution of the kernel function for the backstepping transformation is ***,a backstepping state feedback controller is ***,using the separation principle,an observer-based output feedback controller is proposed based on the designed observer and ***,the numerical methods to calculate the design gains and kernel functions are provided.

关键词： reaction-advection-diffusion Output feedback control Backstepping controller Backstepping observer

来源： cnki会议评论

在线全文

cnki会议

学校读者我要写书评

暂无评论

Sufficient noise and turbulence can induce phytoplankton patchiness

引用

Natural Science 2010年第4期2卷 320-328页

作者： Hiroshi Serizawa Takashi Amemiya Kiminori Itoh 不详

Phytoplankton patchiness ubiquitously obser- ved in marine ecosystems is a simple phy- sical phenomenon. Only two factors are required for its formation: one is persistent variations of inhomogeneous distributions in the phytopl- ankton population and the other is turbulent stirring by eddies. It is not necessary to assume continuous oscillations such as limit cycles for realization of the first factor. Instead, a certain amount of noise is enough. Random fluctua-tions by environmental noise and turbulent ad-vection by eddies seem to be common in open oceans. Based on these hypotheses, we pro-pose seemingly the simplest method to simulate patchiness formation that can create realistic images. Sufficient noise and turbulence can induce patchiness formation even though the system lies on the stable equilibrium conditions. We tentatively adopt the two-component model with nutrients and phytoplankton, however, the choice of the mathematical model is not essen-tial. The simulation method proposed in this study can be applied to whatever model with stable equilibrium states including one-com-ponent ones.

关键词： Eddy Fluctuation Noise Patchiness reaction-advection-diffusion Model Turbulence

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：