GLOBAL WELL-POSEDNESS OF THE CAUCHY-PROBLEM FOR THE NAVIER-STOKES EQUATIONS OF NONISENTROPIC FLOW WITH DISCONTINUOUS INITIAL DATA

被引：88

作者：

HOFF, D

机构：

[1] Department of Mathematics, Indiana University, Bloomington, IN 47405, Swain Hall East

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1992年 / 95卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0022-0396(92)90042-L

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the global existence, uniqueness, and continuous dependence on initial data for discontinuous solutions of the Navier-Stokes equations for nonisentropic, compressible flow in one space dimension. A great deal of information is obtained concerning the qualitative behavior of the solution, including an analysis of the convection and evolution of jump discontinuities, the derivation of sharp rates of smoothing, and the L∞ asymptotic behavior. © 1992.

引用

页码：33 / 74

页数：42

共 8 条

[1] GLOBAL EXISTENCE FOR 1D, COMPRESSIBLE, ISENTROPIC NAVIER-STOKES EQUATIONS WITH LARGE INITIAL DATA
HOFF, D
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 303 (01) : 169 - 181
[2] THE INVISCID LIMIT FOR THE NAVIER-STOKES EQUATIONS OF COMPRESSIBLE, ISENTROPIC FLOW WITH SHOCK DATA
HOFF, D
LIU, TP
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1989, 38 (04) : 861 - 915
[3] CONSTRUCTION OF SOLUTIONS FOR COMPRESSIBLE, ISENTROPIC NAVIER-STOKES EQUATIONS IN ONE SPACE DIMENSION WITH NONSMOOTH INITIAL DATA
HOFF, D
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1986, 103 : 301 - 315
[4] HOFF D, 1991, ARCH RATIONAL MECH A, V141, P15
[5] KANEL YA. I., 1968, DIFF EQUAT+, V4, P374
[6] Kazhikhov A., 1977, PMM-J APPL MATH MEC, V41, P273, DOI DOI 10.1016/0021-8928(77)90011-9
[7] KIM JU, 1983, ANN SC NORM SUPER PI, V10, P357
[8] SERRE D, 1986, CR ACAD SCI PARIS 1, V303

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