- 主题:首位Abel奖得主Peter Lax逝世
Abel奖和Wolf奖双料得主,享年99岁
※ 修改:·vinbo 于 May 20 14:15:21 2025 修改本文·[FROM: 202.120.11.*]
※ 来源:·水木社区
http://www.mysmth.net·[FROM: 202.120.11.*]
修改:vinbo FROM 202.120.11.*
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【 在 vinbo 的大作中提到: 】
: 享年99岁
有什么贡献啊
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FROM 211.100.229.*
引wiki一段
Lax made important contributions to integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation laws, and mathematical and scientific computing, among other fields. In a 1958 paper Lax stated a conjecture about matrix representations for third order hyperbolic polynomials which remained unproven for over four decades. Interest in the "Lax conjecture" grew as mathematicians working in several different areas recognized the importance of its implications in their field, until it was finally proven to be true in 2003。
Lax在可积系统的Lax pair做为Lax representation是教科书式的基本内容,比方本版置顶第一条的可积系统课程介绍里面。这里和力学的关系说一个,比方一个后驱的汽车在冰面上快速行驶中突然刹车,这时汽车一定会屁股甩到前面去,俗称漂移。这个运动轨迹是可以写出显式解的。能写出显式解的证明方法之一就是先证明刹车之后的汽车冰面运动有一个Lax representation, 从而可解。
对于国内的学生来说,Lax的两本本科教材极为流行,一本是《泛函分析》一本是《线性代数及应用》
【 在 Userpai 的大作中提到: 】
: 有什么贡献啊
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FROM 114.86.64.*
比方中学物理课看到的孤立波(soliton)曾经作为热点之一也是可积系统,也有一个Lax pair.
孤立波的一个经典现象就是正对相撞的两个水波,互相穿越对方而过,继续前行,相信大家还记得。
【 在 vinbo 的大作中提到: 】
: 引wiki一段
: Lax made important contributions to integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation laws, and mathematical and scientific computing, among other fields. In a 1958 paper Lax stated a conjecture about matrix representations for third order hyperbolic polynomials which remained unproven for over four decades. Interest in the "Lax conjecture" grew as mathematicians working in several different areas recognized the importance of its implications in their field, until it was finally proven to be true in 2003。
: Lax在可积系统的Lax pair做为Lax representation是教科书式的基本内容,比方本版置顶第一条的可积系统课程介绍里面。这里和力学的关系说一个,比方一个后驱的汽车在冰面上快速行驶中突然刹车,这时汽车一定会屁股甩到前面去,俗称漂移。这个运动轨迹是可以写出显式解的。能写出显式解的证明方法之一就是先证明刹车之后的汽车冰面运动有一个Lax representation, 从而可解。
: ...................
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FROM 114.86.64.*