Existence and Uniqueness of Solutions of a Quasilinear Approximation of the 3D Navier–Stokes System

被引：2

作者：

E. I. Dinaburg

Ya. G. Sinai

机构：

[1] Smidt United Institute of Physics of Earth,Mathematical Department

[2] RAS,undefined

[3] International Institute of Theory of Earthquake Prediction and Mathematical Geophysics,undefined

[4] RAS,undefined

[5] Princeton University. Landau Institute of Theoretical Physics,undefined

[6] RAS,undefined

来源：

Problems of Information Transmission | 2003年 / 39卷 / 1期

关键词：

Initial Data; Cauchy Problem; System Theory; Stokes System; Solution Regularity;

D O I：

10.1023/A:1023678431203

中图分类号：

学科分类号：

摘要：

For the quasilinear approximation of the 3D Navier–Stokes system proposed earlier by the authors in [1], some conditions of solution regularity are considered and the theorem on existence and uniqueness of the Cauchy problem for some class of initial data is proved.

引用

页码：47 / 50

页数：3

共 5 条

[1]

Dinaburg E.I.(2001)A Quasi-Linear Approximation of Three-Dimensional Navier–Stokes System Moscow Math. J. 1 381–388-undefined

[2]

Sinai Y.(2000)Recent Results on Mathematical and Statistical Hydrodinamics Usp. Mat. Nauk 55 25–59-undefined

[3]

Sinai E, W.(2002)New Finite-Dimensional Approximations of the 3D Navier–Stokes System Dokl. Ross. Akad. Nauk 383 151–155-undefined

[4]

Sinai Ya.G.(undefined)undefined undefined undefined undefined-undefined

[5]

Dinaburg E.I.(undefined)undefined undefined undefined undefined-undefined

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