Smooth Solution of Multi-dimensional Nonhomogeneous Conservation Law: Its Formula, and Necessary and Sufficient Blowup Criterion
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s10255-023-1036-9.pdf
Reference35 articles.
1. Alinhac, S. Un phénomne de concentration évanescente pour des flots non-stationnaires incompressibles en dimension deux [Concentration cancellation for incompressible nonstationary flows in dimension two]. Comm. Math. Phys. 127(3): 585–596 (1990)(French)
2. Alinhac, S. Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions. Annals of Mathematics, 1999, 149(1): 97–127
3. Alinhac, S. Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions, ii. Acta Mathematica, 1999, 182(1): 1–23
4. Cao, G.W., Xiang, W., Yang, X.Z. Global structure of admissible solutions of multi-dimensional non-homogeneous scalar conservation law with Riemann-type data. J. diff. equ., 2017, 263(2): 1055–1078
5. Chang, T., Hsiao, L. The Riemann problem and interaction of waves in gas dynamics. NASA STI/Recon Technical Report A, 1989, 90: 44044
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