$$L^{1}$$ convergences and convergence rates of approximate solutions for compressible Euler equations near vacuum-Reference-Cited by-同舟云学术

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$$L^{1}$$ convergences and convergence rates of approximate solutions for compressible Euler equations near vacuum

Published:2020-03-09 Issue:2 Volume:7 Page:
ISSN:2522-0144
Container-title:Research in the Mathematical Sciences
language:en
Short-container-title:Res Math Sci

Author:

Lee Hsin-Yi,Chu Jay^ORCID,Hong John M.,Lin Ying-Chieh

Funder

Ministry of Science and Technology, Taiwan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Mathematics (miscellaneous),Theoretical Computer Science

Link

http://link.springer.com/content/pdf/10.1007/s40687-020-00205-8.pdf

Reference25 articles.

1. Chen, G.-Q., Liu, H.: Formation of $$\delta $$-shocks and vacuum states in the vanishing pressure limit of solutions to the Euler equations for isentropic fluids. SIAM J. Math. Anal. 34(4), 925–938 (2003)

2. Chen, X.: Lipschitz continuous solutions to the Cauchy problem for quasi-linear hyperbolic systems. Chin. Ann. Math. Ser. B 33(4), 521–536 (2012)

3. Chern, I.-L.: Stability theorem and truncation error analysis for the Glimm scheme and for a front tracking method for flows with strong discontinuities. Commun. Pure Appl. Math. 42(6), 815–844 (1989)

4. Chu, J., Hong, J.M.-K., Lee, H.-Y.: Approximation and existence of vacuum states in the multi-scale flows of compressible Euler equations. Multiscale Model. Simul. 18(1), 104–130 (2020)

5. Douglis, A.: Some existence theorems for hyperbolic systems of partial differential equations in two independent variables. Commun. Pure Appl. Math. 5, 119–154 (1952)

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1. Global classical solutions near vacuum to the initial-boundary value problem of isentropic flows through divergent ducts;Research in the Mathematical Sciences;2023-04-25

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