Fronts, Fluctuations and Growth
Fronts, Fluctuations and Growth
批准号:
0244419
负责人:
Charles Doering
金额:
$21.6万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
2003
资助国家:
美国
项目状态:
已结题
起止时间:
2003-07-01 至 2007-06-30
中文摘要
提案:DMS-0244419 PI:查尔斯Doering机构:密歇根大学标题:前沿,波动和增长摘要这一跨学科的研究汇集了来自密歇根大学数学系,物理系和化学工程系的研究人员,研究材料科学和化学中出现的前沿传播和图案形成问题。 该项目的中心目标是从理论上和数学上阐明波动、噪声和无序对非平衡系统(如化学反应和薄膜生长)中界面动力学的作用。 该项目结合了理论凝聚态和统计物理、动力学蒙特卡罗和数值模拟以及数学建模和分析,以研究具有科学和技术意义的系统中随机和非线性效应的相互作用。该项目的研究成果将导致发展有效的数学描述和有效的计算方案的问题对于材料科学和纳米技术中的小规模物理和化学过程越来越重要。 关于这一活动的广泛影响,它也有一个重要的高级培训方面:与该项目有关的研究生研究助理将在主要研究者的指导下进行原创博士论文研究。
英文摘要
Proposal: DMS-0244419PI: Charles DoeringInstitution: University of MichiganTitle: Fronts, Fluctuations, and GrowthABSTRACTThis interdisciplinary investigation brings together researchers from the University of Michigan's Departments of Mathematics, Physics and Chemical Engineering to study questions of front propagation and pattern formation arising in materials science and chemistry. The central goal of the project is to elucidate, theoretically and mathematically, the roles of fluctuations, noise and disorder on the dynamics of interfaces in nonequilibrium systems such as chemical reactions and thin film growth. This project combines theoretical condensed matter and statistical physics, Kinetic Monte Carlo and numerical simulations, and mathematical modeling and analysis to investigate the interplay of stochastic and nonlinear effects in systems of scientific and technological interest.With regard to the intellectual merit of this activity, research results from this project will lead to the development of effective mathematical descriptions and efficient computational schemes for problems of increasing importance for small-scale physical and chemical processes in materials science and nanotechnology. With regard to the broader impacts of this activity, it also has a significant advanced training aspect: a graduate student research assistant associated with this project will carry out original PhD thesis research under the guidance of the principal investigators.
期刊论文(0)
专著(0)
科研奖励(0)
会议论文
Systematic Search For Extreme and Singular Behavior in Some Fundamental Models of Fluid Mechanics
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批准号:1515161
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项目类别:Standard Grant
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资助金额:$45.49万
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财政年份:2015
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负责人:Charles Doering
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依托单位:
Studies in Mathematical Physics: Advection, Convection and Turbulent Transport
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批准号:1205219
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项目类别:Continuing Grant
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资助金额:$52.85万
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财政年份:2012
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负责人:Charles Doering
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依托单位:
DynSyst_Special_Topics: Collaborative Research: Reduced Dynamical Descriptions of Infinite-Dimensional Nonlinear systems via a-Priori Basis Functions from Upper Bound Theories
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批准号:0927587
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项目类别:Standard Grant
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资助金额:$24.0万
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财政年份:2009
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负责人:Charles Doering
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依托单位:
Studies in Mathematical Physics: Advection, Convection and Turbulent Transport
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批准号:0855335
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项目类别:Continuing Grant
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资助金额:$63.04万
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财政年份:2009
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负责人:Charles Doering
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依托单位:
FRG: Fluctuation Effects in Near-Continuum Descriptions of Discrete Dynamical Systems in Physics, Chemistry and Biology
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批准号:0553487
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项目类别:Standard Grant
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资助金额:$101.72万
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财政年份:2006
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负责人:Charles Doering
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依托单位:
Studies in Mathematical Physics: Advection, Convection and Turbulent Transport
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批准号:0555324
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项目类别:Continuing Grant
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资助金额:$29.51万
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财政年份:2006
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负责人:Charles Doering
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依托单位:
Applied Analysis of the Navier-Stokes and Related Equations
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批准号:0244859
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项目类别:Continuing Grant
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资助金额:$26.7万
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财政年份:2003
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负责人:Charles Doering
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依托单位:
Applied Analysis of the Navier-Stokes and Related Equations
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批准号:9900635
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项目类别:Continuing Grant
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资助金额:$18.5万
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财政年份:1999
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负责人:Charles Doering
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依托单位:
Mathematical Sciences/GIG: Interdisciplinary Mathematics: Applied and Numerical Analysis in Science and Engineering
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批准号:9709494
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项目类别:Standard Grant
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资助金额:$60.0万
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财政年份:1997
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负责人:Charles Doering
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依托单位:
Stochastic Nonlinear Dynamics
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批准号:9512741
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项目类别:Continuing Grant
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资助金额:$0.0万
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财政年份:1996
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负责人:Charles Doering
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依托单位:
Stochastic Nonlinear Dynamics
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批准号:9696187
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项目类别:Continuing Grant
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资助金额:$17.3万
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财政年份:1996
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负责人:Charles Doering
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依托单位:
Microscopic Approaches to Kinetics of Nonequilibrium Processes: Diffusion-Limited Reactions and Heterogeneous Catalysis
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批准号:9008033
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项目类别:Standard Grant
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资助金额:$7.0万
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财政年份:1990
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负责人:Charles Doering
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依托单位:
Presidential Young Investigator Award: Topics in Non-LinearDynamics
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批准号:8958506
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项目类别:Continuing Grant
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资助金额:$27.43万
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财政年份:1989
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负责人:Charles Doering
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依托单位:
Stochastic Nonlinear Dynamics: Many Degrees of Freedom Far from Equilibrium (Physics)
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批准号:8907755
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项目类别:Continuing Grant
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资助金额:$9.44万
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财政年份:1989
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负责人:Charles Doering
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依托单位:
海外基金