Uniqueness of a Planar Contact Discontinuity for 3D Compressible Euler System in a Class of Zero Dissipation Limits from Navier–Stokes–Fourier System-Reference-Cited by-同舟云学术

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Uniqueness of a Planar Contact Discontinuity for 3D Compressible Euler System in a Class of Zero Dissipation Limits from Navier–Stokes–Fourier System

Published:2021-05-08 Issue:3 Volume:384 Page:1751-1782
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Kang Moon-Jin,Vasseur Alexis F.,Wang Yi

Funder

National Research Foundation of Korea

Division of Mathematical Sciences

National Outstanding Youth Science Fund Project of National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1007/s00220-021-04100-3.pdf

Reference52 articles.

1. Akopian, S., Kang, M.-J., Vasseur, A.: Inviscid limit to the shock waves for the fractal Burgers equation. Commun. Math. Sci. 18, 1477–1491 (2020)

2. Al Baba, H., Klingenberg, C., Kreml, O., Mácha, V., Markfelder, S.: Non-uniqueness of admissible weak solution to the Riemann problem for the full Euler system in two dimensions. SIAM J. Math. Anal. 52(2), 1729–1760 (2020)

3. B$$\check{\rm r}$$ezina, J., Kreml, O., Mácha, V.: Non-uniqueness of delta shocks and contact discontinuities in the multi-dimensional model of Chaplygin gas. Nonlinear Differ. Equ. Appl., 28, Article number: 13 (2021)

4. Bianchini, S., Bressan, A.: Vanishing viscosity solutions to nolinear hyperbolic systems. Ann. Math. 166, 223–342 (2005)

5. Chen, G.-Q., Chen, J.: Stability of rarefaction waves and vacuum states for the multidimensional Euler equations. J. Hyperbolic Differ. Equ. 4, 105–122 (2007)

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