In this paper, the author obtains a necessary and sufficient condition on the diagonalization of multi-dimensional quasilinear systems of first order, and gives some physical applications.
Submitted July 1, 1999. Published July 29, 1999.
Math Subject Classification: 35F20, 35L40.
Key Words: Quasilinear systems, diagonalization, strict Riemann invariants, conservation laws.
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