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2022-03-07
摘要翻译:
由于对主要结果的证明存在重大错误,这篇论文已被作者撤回。在arxiv:1010.2791v1的一个新手稿(有两个新作者)中,这个问题已经解决了。
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英文标题:
《The Wigner-Fokker-Planck equation: Stationary states and large time
  behavior》
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作者:
Anton Arnold, Irene M. Gamba, Maria Pia Gualdani, Christof Sparber
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最新提交年份:
2010
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分类信息:

一级分类:Physics        物理学
二级分类:Quantum Physics        量子物理学
分类描述:Description coming soon
描述即将到来
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一级分类:Physics        物理学
二级分类:Statistical Mechanics        统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics        物理学
二级分类:Mathematical Physics        数学物理
分类描述:Articles in this category focus on areas of research that illustrate the application of mathematics to problems in physics, develop mathematical methods for such applications, or provide mathematically rigorous formulations of existing physical theories. Submissions to math-ph should be of interest to both physically oriented mathematicians and mathematically oriented physicists; submissions which are primarily of interest to theoretical physicists or to mathematicians should probably be directed to the respective physics/math categories
这一类别的文章集中在说明数学在物理问题中的应用的研究领域,为这类应用开发数学方法,或提供现有物理理论的数学严格公式。提交的数学-PH应该对物理方向的数学家和数学方向的物理学家都感兴趣;主要对理论物理学家或数学家感兴趣的投稿可能应该指向各自的物理/数学类别
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一级分类:Mathematics        数学
二级分类:Analysis of PDEs        偏微分方程分析
分类描述:Existence and uniqueness, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDE's, conservation laws, qualitative dynamics
存在唯一性,边界条件,线性和非线性算子,稳定性,孤子理论,可积偏微分方程,守恒律,定性动力学
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一级分类:Mathematics        数学
二级分类:Mathematical Physics        数学物理
分类描述:math.MP is an alias for math-ph. Articles in this category focus on areas of research that illustrate the application of mathematics to problems in physics, develop mathematical methods for such applications, or provide mathematically rigorous formulations of existing physical theories. Submissions to math-ph should be of interest to both physically oriented mathematicians and mathematically oriented physicists; submissions which are primarily of interest to theoretical physicists or to mathematicians should probably be directed to the respective physics/math categories
math.mp是math-ph的别名。这一类别的文章集中在说明数学在物理问题中的应用的研究领域,为这类应用开发数学方法,或提供现有物理理论的数学严格公式。提交的数学-PH应该对物理方向的数学家和数学方向的物理学家都感兴趣;主要对理论物理学家或数学家感兴趣的投稿可能应该指向各自的物理/数学类别
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英文摘要:
  This paper has been withdrawn by the authors due to a crucial error in the proof of the main result. In a new manuscript (with two new authors) available at arXiv:1010.2791v1 this problem has been resolved.
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PDF链接:
https://arxiv.org/pdf/707.2445
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