The law of the iterated logarithm for the solution of the Burgers equation with random initial data

被引：4

作者：

Bakhtin, YY ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 117234, Russia

来源：

MATHEMATICAL NOTES | 1998年 / 64卷 / 5-6期

关键词：

law of the iterated logarithm; Burgers equation; shot noise; nonlinear wave;

D O I：

10.1007/BF02313027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The law of the iterated logarithm is established for the solution of the one-dimensional Burgers equation in the ease where the initial potential is described by a zero-range shot noise.

引用

页码：704 / 713

页数：10

共 50 条

[1] The law of the iterated logarithm for the solution of the Burgers equation with random initial data
Yu. Yu. Bakhtin
Mathematical Notes, 1998, 64 : 704 - 713
[2] ASYMPTOTICAL NORMALITY OF A SOLUTION OF BURGERS-EQUATION WITH RANDOM INITIAL DATA
BULINSKII, AV
MOLCHANOV, SA
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1991, 36 (02) : 217 - 236
[3] Law of the iterated logarithm for random graphs
Ferber, Asaf
Montealegre, Daniel
Vu, Van
RANDOM STRUCTURES & ALGORITHMS, 2019, 54 (01) : 3 - 38
[4] LAW OF ITERATED LOGARITHM FOR RANDOM SUBSEQUENCES
VASUDEVA, R
DIVANJI, G
STATISTICS & PROBABILITY LETTERS, 1991, 12 (03) : 189 - 194
[5] THE LAW OF THE ITERATED LOGARITHM FOR A RANDOM FIELD
MARTIKAINEN, AI
VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1985, (04): : 14 - 20
[6] The law of the iterated logarithm for random permutations
Manstavičius E.
Lithuanian Mathematical Journal, 1998, 38 (2) : 160 - 171
[7] The law of the Iterated Logarithm for random interval homeomorphisms
Czudek, Klaudiusz
Szarek, Tomasz
Wojewodka-Sciazko, Hanna
ISRAEL JOURNAL OF MATHEMATICS, 2021, 246 (01) : 47 - 53
[8] ON THE LAW OF THE ITERATED LOGARITHM FOR DEPENDENT RANDOM VARIABLES
NASH, SW
ANNALS OF MATHEMATICAL STATISTICS, 1950, 21 (04): : 619 - 619
[9] The law of the iterated logarithm for random interval homeomorphisms
Klaudiusz Czudek
Tomasz Szarek
Hanna Wojewódka-Ściążko
Israel Journal of Mathematics, 2021, 246 : 47 - 53
[10] Law of the iterated logarithm for a random Dirichlet series
Aymone, Marco
Frometa, Susana
Misturini, Ricardo
ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2020, 25

← 1 2 3 4 5 →