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HYPERBOLIC BALANCE LAWS WITH RELAXATION
被引:6
作者
:
Dafermos, Constantine M.
论文数:
0
引用数:
0
h-index:
0
机构:
Brown Univ, Div Appl Math, Providence, RI 02912 USA
Brown Univ, Div Appl Math, Providence, RI 02912 USA
Dafermos, Constantine M.
[
1
]
机构
:
[1]
Brown Univ, Div Appl Math, Providence, RI 02912 USA
来源
:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
|
2016年
/ 36卷
/ 08期
关键词
:
Hyperbolic balance laws;
BV solutions;
relaxation;
viscoelasticity;
heat flow;
BV SOLUTIONS;
ASYMPTOTIC-BEHAVIOR;
SYSTEMS;
D O I
:
10.3934/dcds.2016.36.4271
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
This expository paper surveys the progress in a research program aiming at establishing the existence and long time behavior of BV solutions to the Cauchy problem for hyperbolic systems of balance laws modeling relaxation phenomena.
引用
收藏
页码:4271 / 4285
页数:15
相关论文
共 18 条
[11]
Heat Flow with Shocks in Media with Memory
[J].
Dafermos, Constantine M.
论文数:
0
引用数:
0
h-index:
0
机构:
Brown Univ, Div Appl Math, Providence, RI 02912 USA
Brown Univ, Div Appl Math, Providence, RI 02912 USA
Dafermos, Constantine M.
.
INDIANA UNIVERSITY MATHEMATICS JOURNAL,
2013,
62
(05)
:1443
-1456
[12]
BV solutions for hyperbolic systems of balance laws with relaxation
[J].
Dafermos, Constantine M.
论文数:
0
引用数:
0
h-index:
0
机构:
Brown Univ, Div Appl Math, Providence, RI 02912 USA
Brown Univ, Div Appl Math, Providence, RI 02912 USA
Dafermos, Constantine M.
.
JOURNAL OF DIFFERENTIAL EQUATIONS,
2013,
255
(08)
:2521
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[13]
Redistribution of Damping in Viscoelasticity
[J].
Dafermos, Constantine M.
论文数:
0
引用数:
0
h-index:
0
机构:
Brown Univ, Div Appl Math, Providence, RI 02912 USA
Brown Univ, Div Appl Math, Providence, RI 02912 USA
Dafermos, Constantine M.
.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,
2013,
38
(07)
:1274
-1286
[14]
SOLUTIONS IN LARGE FOR NONLINEAR HYPERBOLIC SYSTEMS OF EQUATIONS
[J].
GLIMM, J
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GLIMM, J
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COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
1965,
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:697
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HYPERBOLIC SYSTEMS OF CONSERVATION LAWS .2.
[J].
LAX, PD
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0
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LAX, PD
.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
1957,
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:537
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[16]
Liu T-P., 1981, Memoirs AMS, V30
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Stability of constant equilibrium state for dissipative balance laws system with a convex entropy
[J].
Ruggeri, T
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机构:
Univ Bologna, Dept Math, I-40123 Bologna, Italy
Ruggeri, T
;
Serre, D
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Univ Bologna, Dept Math, I-40123 Bologna, Italy
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QUARTERLY OF APPLIED MATHEMATICS,
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A class of initial value problems for 2 x 2 hyperbolic systems with relaxation
[J].
Zeng, Huihui
论文数:
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引用数:
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机构:
Georgetown Univ, Dept Math & Stat, Washington, DC 20057 USA
Georgetown Univ, Dept Math & Stat, Washington, DC 20057 USA
Zeng, Huihui
.
JOURNAL OF DIFFERENTIAL EQUATIONS,
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251
(4-5)
:1254
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←
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→
共 18 条
[11]
Heat Flow with Shocks in Media with Memory
[J].
Dafermos, Constantine M.
论文数:
0
引用数:
0
h-index:
0
机构:
Brown Univ, Div Appl Math, Providence, RI 02912 USA
Brown Univ, Div Appl Math, Providence, RI 02912 USA
Dafermos, Constantine M.
.
INDIANA UNIVERSITY MATHEMATICS JOURNAL,
2013,
62
(05)
:1443
-1456
[12]
BV solutions for hyperbolic systems of balance laws with relaxation
[J].
Dafermos, Constantine M.
论文数:
0
引用数:
0
h-index:
0
机构:
Brown Univ, Div Appl Math, Providence, RI 02912 USA
Brown Univ, Div Appl Math, Providence, RI 02912 USA
Dafermos, Constantine M.
.
JOURNAL OF DIFFERENTIAL EQUATIONS,
2013,
255
(08)
:2521
-2533
[13]
Redistribution of Damping in Viscoelasticity
[J].
Dafermos, Constantine M.
论文数:
0
引用数:
0
h-index:
0
机构:
Brown Univ, Div Appl Math, Providence, RI 02912 USA
Brown Univ, Div Appl Math, Providence, RI 02912 USA
Dafermos, Constantine M.
.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,
2013,
38
(07)
:1274
-1286
[14]
SOLUTIONS IN LARGE FOR NONLINEAR HYPERBOLIC SYSTEMS OF EQUATIONS
[J].
GLIMM, J
论文数:
0
引用数:
0
h-index:
0
GLIMM, J
.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
1965,
18
(04)
:697
-&
[15]
HYPERBOLIC SYSTEMS OF CONSERVATION LAWS .2.
[J].
LAX, PD
论文数:
0
引用数:
0
h-index:
0
LAX, PD
.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,
1957,
10
(04)
:537
-566
[16]
Liu T-P., 1981, Memoirs AMS, V30
[17]
Stability of constant equilibrium state for dissipative balance laws system with a convex entropy
[J].
Ruggeri, T
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Bologna, Dept Math, I-40123 Bologna, Italy
Ruggeri, T
;
Serre, D
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Bologna, Dept Math, I-40123 Bologna, Italy
Serre, D
.
QUARTERLY OF APPLIED MATHEMATICS,
2004,
62
(01)
:163
-179
[18]
A class of initial value problems for 2 x 2 hyperbolic systems with relaxation
[J].
Zeng, Huihui
论文数:
0
引用数:
0
h-index:
0
机构:
Georgetown Univ, Dept Math & Stat, Washington, DC 20057 USA
Georgetown Univ, Dept Math & Stat, Washington, DC 20057 USA
Zeng, Huihui
.
JOURNAL OF DIFFERENTIAL EQUATIONS,
2011,
251
(4-5)
:1254
-1275
←
1
2
→