ADMISSIBILITY CRITERIA FOR HYPERBOLIC CONSERVATION-LAWS

被引：16

作者：

CONLON, JG ^{[1
]}

LIU, TP ^{[1
]}

机构：

[1] UNIV MARYLAND,COLLEGE PK,MD 20742

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1981年 / 30卷 / 05期

关键词：

D O I：

10.1512/iumj.1981.30.30050

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：641 / 652

页数：12

共 12 条

[1] THEOREM IN ORDINARY DIFFERENTIAL-EQUATIONS WITH AN APPLICATION TO HYPERBOLIC CONSERVATION-LAWS [J].

CONLON, JG .

ADVANCES IN MATHEMATICS, 1980, 35 (01) :1-18

[2] ENTROPY RATE ADMISSIBILITY CRITERION FOR SOLUTIONS OF HYPERBOLIC CONSERVATION LAWS [J].

DAFERMOS, CM .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1973, 14 (02) :202-212

[3] UNIQUENESS OF SOLUTIONS TO HYPERBOLIC CONSERVATION-LAWS [J].

DIPERNA, RJ .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1979, 28 (01) :137-188

[4] DECAY OF SOLUTIONS OF HYPERBOLIC SYSTEMS OF CONSERVATION LAWS WITH A CONVEX EXTENSION [J].

DIPERNA, RJ .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1977, 64 (01) :1-46

[5]

HOPF E, 1969, J MATH MECH, V19, P483

[6]

JOHNSON JL, 1967, J MATH MECH, V17, P483

[7] HYPERBOLIC SYSTEMS OF CONSERVATION LAWS .2. [J].

LAX, PD .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1957, 10 (04) :537-566

[8] RIEMANN PROBLEM FOR GENERAL 2X2 CONSERVATION LAWS [J].

LIU, TP .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 199 (NOV) :89-112

[9] UNIQUENESS OF WEAK SOLUTIONS OF CAUCHY-PROBLEM FOR GENERAL 2 X 2 CONSERVATION LAWS [J].

LIU, TP .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1976, 20 (02) :369-388

[10] RIEMANN PROBLEM FOR GENERAL SYSTEMS OF CONSERVATION LAWS [J].

LIU, TP .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1975, 18 (01) :218-234

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