Asymptotic behavior of solutions toward the constant state to the Cauchy problem for the non-viscous diffusive dispersive conservation law
Asymptotic behavior of solutions toward the constant state to the Cauchy problem for the non-viscous diffusive dispersive conservation law
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DOI：
10.1515/jaa-2022-1021
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发表时间：
2021-07
影响因子：
0.9
通讯作者：
Natsumi Yoshida
中科院分区：
文献类型：
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作者：
Natsumi Yoshida
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Abstract In this paper, we investigate the asymptotic behavior of solutions to the Cauchy problem for the scalar non-viscous diffusive dispersive conservation law where the far field constant state is prescribed. We prove that the solution of the Cauchy problem tends toward the constant state as time goes to infinity.