The Boltzmann-Grad limit and Cauchy-Kovalevskaya theorem

被引：0

作者：

Seiji Ukai

机构：

[1] Yokohama National University,Department of Applied Mathematics

来源：

Japan Journal of Industrial and Applied Mathematics | 2001年 / 18卷

关键词：

Newton equation; Boltzmann equation; BBGKY hierarchy; Boltzmann-Grad limit; abstract Cauchy-Kovalevskaya theorem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A technique based on the abstract Cauchy-Kovalevskaya theorem is used to derive uniform estimates of solutions of BBGKY hierarchy, which improves Lanford’s theorem on the Boltzmann-Grad limit and simplifies its proof, in part. It is also applied to the Euler limit of the Boltzmann hierarchy.

引用

页码：383 / 392

页数：9

共 50 条

[1] The Boltzmann-Grad limit and Cauchy-Kovalevskaya theorem
Ukai, S
[J]. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2001, 18 (02) : 383 - 392
[2] Operator approach to the Cauchy-Kovalevskaya theorem
Gorbachuk M.L.
[J]. Journal of Mathematical Sciences, 2000, 99 (5) : 1527 - 1532
[3] On the Cauchy-Kovalevskaya theorem for Caputo fractional differential
Jornet, Marc
[J]. PHYSICA D-NONLINEAR PHENOMENA, 2024, 462
[4] THE BOLTZMANN-GRAD LIMIT OF EQUILIBRIUM STATES
PETRINA, DY
GERASIMENKO, VI
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1988, (12): : 17 - 19
[5] THE CAUCHY-KOVALEVSKAYA THEOREM-OLD AND NEW
W.Tutschke
[J]. Analysis in Theory and Applications, 2005, (02) : 166 - 175
[6] Fluctuation Theory in the Boltzmann-Grad Limit
Bodineau, Thierry
Gallagher, Isabelle
Saint-Raymond, Laure
Simonella, Sergio
[J]. JOURNAL OF STATISTICAL PHYSICS, 2020, 180 (1-6) : 873 - 895
[7] The Cauchy-Kovalevskaya extension theorem in Hermitian Clifford analysis
Brackx, F.
De Schepper, H.
Lavicka, R.
Soucek, V.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) : 649 - 660
[8] The Cauchy-Kovalevskaya Extension Theorem in Discrete Clifford Analysis
De Ridder, H.
De Schepper, H.
Sommen, F.
[J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 1468 - 1471
[9] THE CAUCHY-KOVALEVSKAYA EXTENSION THEOREM IN DISCRETE CLIFFORD ANALYSIS
De Ridder, Hilde
De Schepper, Hennie
Sommen, Frank
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2011, 10 (04) : 1097 - 1109
[10] Cauchy-Kovalevskaya Extension Theorem in Fractional Clifford Analysis
Vieira, N.
[J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2015, 9 (05) : 1089 - 1109

← 1 2 3 4 5 →