Optimal decay rates of solutions to hyperbolic conservation laws with damping-Reference-Cited by-同舟云学术

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Optimal decay rates of solutions to hyperbolic conservation laws with damping

Published:2021-12-29 Issue:1 Volume:73 Page:
ISSN:0044-2275
Container-title:Zeitschrift für angewandte Mathematik und Physik
language:en
Short-container-title:Z. Angew. Math. Phys.

Author:

Zhang Nangao,Zhu Changjiang

Funder

Innovative Research Group Project of the National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00033-021-01657-w.pdf

Reference27 articles.

1. Berthon, C., Charrier, P., Dubroca, B.: An asymptotic preserving relaxation scheme for a moment model of radiative transfer. C. R. Math. Acad. Sci. Paris 344, 467–472 (2007)

2. Fang, D.Y., Xu, J.: Existence and asymptotic behavior of $$C^{1}$$ solutions to the multi-dimensional compressible Euler equations with damping. Nonlinear Anal. 70, 244–261 (2009)

3. Geng, S.F., Wang, Z.: Convergence rates to asymptotic profile for solutions of quasilinear hyperbolic equations with nonlinear damping. Acta Math. Appl. Sin. Engl. Ser. 32, 55–66 (2016)

4. Geng, S.F., Zhang, L.N.: Boundary effects and large-time behaviour for quasilinear equations with nonlinear damping. Proc. R. Soc. Edinb. Sect. A 145, 959–978 (2015)

5. Goudona, T., Lin, C.J.: Analysis of the $$M_{1}$$ model: well-posedness and diffusion asymptotics. J. Math. Anal. Appl. 402, 579–593 (2013)

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