Kinetic Statistics of Scalar Conservation Laws with Piecewise-Deterministic Markov Process Data

被引：2
|
作者：
Kaspar, David C. [1 ]
Rezakhanlou, Fraydoun [2 ]
机构：
[1] Arizona State Univ, Sch Math & Stat Sci, Tempe, AZ USA
[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2020年 / 237卷 / 01期
关键词：
BURGERS-EQUATION; SHOCKS;
D O I：
10.1007/s00205-020-01508-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In 2010 Menon and Srinivasan published a conjecture for the statistical structure of solutions rho to scalar conservation laws with certain Markov initial conditions, proposing a kinetic equation that should suffice to describe rho(x, t) as a stochastic process in x with t fixed, or as a stochastic process in t with x fixed. In this article we largely resolve this conjecture.
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页码：259 / 298
页数：40
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