课题基金 / 基金详情

Reaction-Diffusion, Propagation, and Modeling

Reaction-Diffusion, Propagation, and Modeling
反应扩散、传播和建模
批准号:
1725046
负责人:
Leonid Ryzhik
金额:
$1.65万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2017
资助国家:
美国
项目状态:
已结题
起止时间:
2017-09-01 至 2018-08-31

项目摘要

项目成果

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中文摘要
翻译
该奖项为美国研究生,博士后研究员和初级研究人员提供支持,参加将于2017年11月20日至24日在法国巴黎举行的“反应扩散,传播,建模”会议。反应扩散方程是自然界和社会中许多现象的数学描述。会议的重点是理论生物学、经济学和社会科学中的新型数学模型。会议的受邀演讲者名单包括许多杰出的应用科学家和应用数学家,以及偏微分方程(PDE)领域的领先专家。会议的主要目标是进一步的应用和理论方法之间的协同作用,审查一些非常重要的非线性偏微分方程及其应用的最新成果,并讨论这一科学领域的未来发展方向。发言者名单包括几代人,从非常突出的高级数学家到初级研究人员。 19位确认的演讲者中有6位是女性数学家。 会议讨论将涵盖广泛的主题:生命和社会科学中的非常规模型前沿,非局部扩散方程,加速前沿的动力学,进化生物学中的前沿和奇点,以及流体力学中的非局部模型等。在五天内举行的会谈数量相对较少,这将使与会者有时间进行更深入的讨论,而不是标准的、更压缩的会议日程。 这将促进应用科学家和相对纯数学家之间的互动和合作。会议将为美国青年与会者提供与欧洲同行和资深科学家互动的宝贵经验,从而扩大他们的专业培训。会议网址为http://reactiondiffusion.weebly.com/
英文摘要
This award provides support for the U.S. graduate students, postdoctoral fellows, and junior researchers to participate in the conference "Reaction-Diffusion, Propagation, Modelling" that will take place at the Institut Henri Poincare, November 20-24, 2017, in Paris, France. Reaction-diffusion equations serve as a mathematical description of many phenomena in nature and society. The emphasis of the conference is on novel mathematical models in theoretical biology, economics and social sciences. The list of invited speakers at the conference includes many prominent applied scientists and applied mathematicians, as well as leading experts in the area of partial differential equations (PDE). The principal goals of the conference are to further the synergistic interaction between the applied and theoretical approaches, review some very important recent achievements in nonlinear PDE and their applications, and to discuss the future directions of this scientific area. The list of speakers comprises a mix of generations, from highly prominent senior mathematicians to junior researchers.  Six out of the nineteen confirmed speakers are female mathematicians.  The conference discussions will cover a broad spectrum of topics: Fronts in unconventional models in life and social sciences, nonlocal diffusion equations, dynamics of accelerating fronts, fronts and singularities in evolutionary biology, and nonlocal models in fluid mechanics, among others. The relatively small number of talks over five days will give the participants a time to have deeper discussions, than for standard, more compressed conference schedules. This will facilitate interactions and collaboration between the applied scientists and relatively pure mathematicians. The conference will provide for junior American participants an invaluable experience of interacting with their European peers and with senior scientists, thus broadening their professional training. The conference website is http://reactiondiffusion.weebly.com/
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会议论文
Branching Processes, Random Partial Differential Equations and Applications
  • 批准号:
    2205497
  • 项目类别:
    Standard Grant
  • 资助金额:
    $39.0万
  • 财政年份:
    2022
  • 负责人:
    Leonid Ryzhik
  • 依托单位:
Long Time Behavior for Partial Differential Equations in Random Media
  • 批准号:
    1910023
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $36.0万
  • 财政年份:
    2019
  • 负责人:
    Leonid Ryzhik
  • 依托单位:
Waves and fronts in heterogeneous media
  • 批准号:
    1613603
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $31.2万
  • 财政年份:
    2016
  • 负责人:
    Leonid Ryzhik
  • 依托单位:
Waves, Particle Transport and Fronts in Heterogeneous Media
  • 批准号:
    1311903
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $34.78万
  • 财政年份:
    2013
  • 负责人:
    Leonid Ryzhik
  • 依托单位:
国内基金
海外基金
带drift-diffusion项的抛物型偏微分方程组的能控性与能稳性
  • 批准号:
    61573012
  • 项目类别:
    面上项目
  • 资助金额:
    49.0万元
  • 批准年份:
    2015
  • 负责人:
    张亮
  • 依托单位:
Levy过程驱动的随机Fast-Diffusion方程的Harnack不等式及其应用
  • 批准号:
    11126079
  • 项目类别:
    数学天元基金项目
  • 资助金额:
    3.0万元
  • 批准年份:
    2011
  • 负责人:
    周国立
  • 依托单位: