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Non-Equilibrium Problems in Collisional Kinetic and Quantum Theory

Non-Equilibrium Problems in Collisional Kinetic and Quantum Theory
碰撞动力学和量子理论中的非平衡问题
批准号:
0507038
负责人:
Irene Gamba
金额:
$21.46万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2005
资助国家:
美国
项目状态:
已结题
起止时间:
2005-07-15 至 2008-06-30

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英文摘要
Abstract, DMS 0507038, I Gamba, University of TexasTitle: Non-equilibrium problems in collisional kinetic and quantum theory The aim of this proposal is to continue a broad program in analytical and numerical problems for collisional kinetic statistical equations corresponding to the Boltzmann integro-differential equation and quantum hydrodynamic models. New tools from non-linear analysis will be developed, as well as computational strategies.The statistical models considered relate to energy dissipation. An example is the model of a gas in which particles are represented as hard spheres and collisions are inelastic. Another physical scenario is granular flow. The scales considered in the project include those occurring in nano-science.
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Collisional Kinetic Transport: Analysis and Numerical Methods
  • 批准号:
    2009736
  • 项目类别:
    Standard Grant
  • 资助金额:
    $34.5万
  • 财政年份:
    2020
  • 负责人:
    Irene Gamba
  • 依托单位:
Non-local Kinetic Collisional Transport: Analysis and Numerical Methods
  • 批准号:
    1715515
  • 项目类别:
    Standard Grant
  • 资助金额:
    $31.0万
  • 财政年份:
    2017
  • 负责人:
    Irene Gamba
  • 依托单位:
Pan-American Conference on Differential Equations and Non-linear Analysis
  • 批准号:
    1446125
  • 项目类别:
    Standard Grant
  • 资助金额:
    $3.0万
  • 财政年份:
    2015
  • 负责人:
    Irene Gamba
  • 依托单位:
The Kinetics of Interacting Particle Systems: Theory and Numerical Methods
  • 批准号:
    1413064
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $24.0万
  • 财政年份:
    2014
  • 负责人:
    Irene Gamba
  • 依托单位:
海外基金