2015 / December Volume 10 No.4
Scalar Viscous Conservation Laws in $R^2$
Published Date |
2015 / December
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Title | Scalar Viscous Conservation Laws in $R^2$ |
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Pagination | 553-574 |
Abstract | In this paper, we follow the framework of construction of Green's function for Boltzmann equation
in [12] to establish the pointwise structure for the stability of shock profile for scalar viscous conservation law in
$R^2$. We treat the 2-D viscous conservation law like a kinetic equation, and introduce the shock front-remainder
decomposition to separate the effect coming from shock front. Based on this decomposition, we construct the
Green's function and get the pointwise structure of shock front.
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AMS Subject Classification |
82C40.
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Received |
2015-06-10
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Accepted |
2015-06-10
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