Mathematical Sciences: Attractors, Weak-Turbulence and Nonexistence of Breathers
Mathematical Sciences: Attractors, Weak-Turbulence and Nonexistence of Breathers
批准号:
9104532
负责人:
Bjorn Birnir
金额:
$9.53万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1991
资助国家:
美国
项目状态:
已结题
起止时间:
1991-07-01 至 1994-06-30
中文摘要
点击翻译按钮获取中文摘要
英文摘要
This project will develop three topics concerning long time behavior of solutions to partial differential equations. First a descriptive theory of low dimensional attractors of dissipative forced nonlinear PDEs will be attempted in order to investigate weak turbulence. This theory exists for the damped and driven sine-Gordon equation in one dimension; the PI will extend it to the Klein-Gordon equations in higher dimensions and the Ginzburg- Landau equation. The second topic is the nonexistence of breather solutions to nonlinear conservative hyperbolic PDEs. The third topic is the stability of solitary waves for equations describing a bubble cloud and long-wave regularized Boussinesq equations. These problems will be studied numerically and analytically. Their solutions will accrue to our understanding of basic mathematical and physical issues. Atmospheric sciences and hydrodynamics, among others, will be impacted by the results of this project.
期刊论文(0)
专著(0)
科研奖励(0)
会议论文
Stochastic Theory of Turbulent Combustion
-
批准号:0352563
-
项目类别:Standard Grant
-
资助金额:$0.0万
-
财政年份:2004
-
负责人:Bjorn Birnir
-
依托单位:
Scientific Computing Research Environments for the Mathematical Sciences (SCREMS)
-
批准号:0112388
-
项目类别:Standard Grant
-
资助金额:$5.0万
-
财政年份:2001
-
负责人:Bjorn Birnir
-
依托单位:
Analysis and Control of Flow and Flutter in Aeroengines
-
批准号:0072191
-
项目类别:Continuing Grant
-
资助金额:$10.98万
-
财政年份:2000
-
负责人:Bjorn Birnir
-
依托单位:
Applications of Qualitative Analysis of Nonlinear PDE's
-
批准号:9704874
-
项目类别:Standard Grant
-
资助金额:$10.3万
-
财政年份:1997
-
负责人:Bjorn Birnir
-
依托单位:
Mathematical Sciences: Invariant Manifolds and Attracting Sets of Nonlinear Partial Differential Equations
-
批准号:8903012
-
项目类别:Continuing grant
-
资助金额:$0.0万
-
财政年份:1989
-
负责人:Bjorn Birnir
-
依托单位:
Mathematical Sciences Research Equipment 1989
-
批准号:8905770
-
项目类别:Standard Grant
-
资助金额:$4.0万
-
财政年份:1989
-
负责人:Bjorn Birnir
-
依托单位:
Mathematical Sciences: Perturbations of Integrable NonlinearPartial Differential Equations
-
批准号:8611813
-
项目类别:Continuing grant
-
资助金额:$0.0万
-
财政年份:1986
-
负责人:Bjorn Birnir
-
依托单位:
Mathematical Sciences: Perturbations of Integrable NonlinearPartial Differential Equations
-
批准号:8504324
-
项目类别:Standard Grant
-
资助金额:$0.0万
-
财政年份:1985
-
负责人:Bjorn Birnir
-
依托单位:
Mathematical Sciences: Singularities of the Periodic Boussinesq's Equation
-
批准号:8301430
-
项目类别:Continuing Grant
-
资助金额:$0.63万
-
财政年份:1983
-
负责人:Bjorn Birnir
-
依托单位:
国内基金
海外基金
登录
查看更多内容
Handbook of the Mathematics of the Arts and Sciences的中文翻译
-
批准号:12226504
-
项目类别:数学天元基金项目
-
资助金额:20.0万元
-
批准年份:2022
-
负责人:黄朝凌
-
依托单位:
SCIENCE CHINA: Earth Sciences
-
批准号:41224003
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2012
-
负责人:魏建晶
-
依托单位:
Journal of Environmental Sciences
-
批准号:21224005
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2012
-
负责人:冯庆彩
-
依托单位:
SCIENCE CHINA Information Sciences
-
批准号:61224002
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2012
-
负责人:宋扉
-
依托单位:
SCIENCE CHINA Technological Sciences
-
批准号:51224001
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2012
-
负责人:安梅
-
依托单位:
SCIENCE CHINA Life Sciences (中国科学 生命科学)
-
批准号:81024803
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2010
-
负责人:李纪元
-
依托单位:
Journal of Environmental Sciences
-
批准号:21024806
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2010
-
负责人:冯庆彩
-
依托单位:
SCIENCE CHINA Earth Sciences(中国科学:地球科学)
-
批准号:41024801
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2010
-
负责人:魏建晶
-
依托单位:
SCIENCE CHINA Technological Sciences
-
批准号:51024803
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2010
-
负责人:安梅
-
依托单位: