Characteristic half space problem for the Broadwell model
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1.
Department of Mathematics, National University of Singapore, Block S17, 10 Lower Kent Ridge Road, 119076
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Received:
01 July 2013
Revised:
01 August 2013
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Primary: 82C40.
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We study an initial boundary value
problem for the Broadwell model in half space. The Green's function
for the initial boundary value problem is decomposed into two parts:
one is the Green's function for the initial value problem, we call
it the fundamental solution for the whole space;
the other is the convolution of this fundamental solution with full boundary data. A new approach to obtain the full boundary data
is established here. Finally, a
nonlinear time-asymptotic stability of an equilibrium state is
proved.
Citation: Linglong Du. Characteristic half space problem for the Broadwell model[J]. Networks and Heterogeneous Media, 2014, 9(1): 97-110. doi: 10.3934/nhm.2014.9.97
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Abstract
We study an initial boundary value
problem for the Broadwell model in half space. The Green's function
for the initial boundary value problem is decomposed into two parts:
one is the Green's function for the initial value problem, we call
it the fundamental solution for the whole space;
the other is the convolution of this fundamental solution with full boundary data. A new approach to obtain the full boundary data
is established here. Finally, a
nonlinear time-asymptotic stability of an equilibrium state is
proved.
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|
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C.-Y. Lan, H.-E. Lin and S.-H. Yu, The Green's functions for the Broadwell model in a half space problem, Netw. Heterog. Media, 1 (2006), 167-183. doi: 10.3934/nhm.2006.1.167
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