Basic structures of hyperbolic relaxation systems
2002 ◽
Vol 132
(5)
◽
pp. 1259-1274
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Keyword(s):
This work is concerned with basic structural properties of first-order hyperbolic systems with source terms divided by a small parameter ε. We identify a relaxation criterion necessary for the solution sequences indexed with ε to have reasonable limits as ε goes to zero. This relaxation criterion is shown to imply hyperbolicity of the reduced systems governing the limits. Moreover, we introduce a so-called GC-stability theory and strengthen the hyperbolicity result. The latter shows that there are no linearly stable hyperbolic relaxation approximations for non-hyperbolic conservation laws.
2002 ◽
Vol 132
(5)
◽
pp. 1259-1274
◽
1994 ◽
Vol 05
(03)
◽
pp. 519-536
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Keyword(s):
1999 ◽
Vol 68
(227)
◽
pp. 955-971
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1999 ◽
Vol 1
(4)
◽
pp. 231-249
◽
2010 ◽
Vol 2010
◽
pp. 1-10
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2016 ◽
Vol 317
◽
pp. 108-147
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Keyword(s):
1994 ◽
Vol 23
(8)
◽
pp. 1049-1071
◽
Keyword(s):
1996 ◽
Vol 131
(1-2)
◽
pp. 91-107
◽
Keyword(s):