HIGH-FIELD LIMIT FROM A KINETIC EQUATION TO MULTIDIMENSIONAL SCALAR CONSERVATION LAWS
2007 ◽
Vol 04
(01)
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pp. 123-145
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Keyword(s):
We study the relaxation of kinetic BGK models involving a high-field term within the transport operator. They lead us to multidimensional scalar conservation laws with a flux-function which is perturbed with respect to classical relaxation. The proof of the relaxation limit makes modified Maxwellians to appear. We consider "pseudo distribution functions" which can take negative values and we introduce appropriate admissible states. This is a first step towards adapting this analysis to quantum kinetic BGK models.
2006 ◽
Vol 31
(3)
◽
pp. 371-395
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2010 ◽
Vol 20
(10)
◽
pp. 1859-1898
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1991 ◽
Vol 136
(3)
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pp. 501-517
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Keyword(s):
2006 ◽
Vol 10
(5)
◽
pp. 381-387
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2018 ◽
Vol 15
(04)
◽
pp. 623-691
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2018 ◽
Vol 15
(01)
◽
pp. 119-132
2006 ◽
Vol 228
(1)
◽
pp. 111-139
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1996 ◽
Vol 176
(1)
◽
pp. 23-44
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2001 ◽
Vol 131
(4)
◽
pp. 909-925
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