文献

1
G.Q.Chen and P.G.LeFloch: Compressible Euler equations with general pressure law; Arch.Rat.Mech.Anal 153, 221–259, 2000.
2
X.X.Ding, G.Q.Chen, and P.Z.Luo: Convergence of the Lax-Friedrichs scheme for isentropic gas dynamics (I)–(III); Acta Mathematica Scientia 5, 415–432, 1985, 433–472, 1985, 6, 75–120, 1986.
3
R.J.DiPerna: Convergence of the viscosity method for isentropic gas dynamics; Comm.Math.Phys. 91, 1–30, 1983.
4
P.L.Lions, B.Perthame, and P.E.Souganidis: Existence and stability of entropy scheme for the hyperbolic system of isentropic gas dynamics in Eulerian and Lagrangian coordinates; Comm.Pure Appl.Math. 49, 599–638, 1996.
5
P.L.Lions, B.Perthame, and E.Tadmor: Kinetic formulation of the isentropic gas dynamics and p-systems; Comm.Math.Phys. 163, 415–431, 1994.
6
Y.G.Lu: “Hyperbolic conservation laws and the compensated compactness method”; Chapman & Hall/CRC, 2003.
7
T.Makino: Weak solutions to the compressible Euler equation with an asymptotic $\gamma$-law; J.Math.Kyoto Univ. 41, 557–592, 2001.
8
P.D.Serre: La compacit par compensation pour les systmes hyperbolieques non linaires de deux quations a une dimension d'espace; J.Math.Pures Appl. 75, 423–468, 1986.
9
竹野茂治: 1 次元理想気体に対する補償コンパクト法; 新潟工科大リポジトリ (2010) http://id.nii.ac.jp/1714/00000900/
10
竹野茂治: compensated compactness と保存則方程式について; 京都大学数理解析研究所講究録 No.1284 78–104, 2002.
竹野茂治@新潟工科大学
2023-02-18