Electron. J. Diff. Eqns., Vol. 1995(1995), No. 09, pp. 1-15.
R. Saxton & V. Vinod
We analyze finite time singularity formation for two systems of hyperbolic equations. Our results extend previous proofs of breakdown concerning non-strictly hyperbolic systems to systems, and to a situation where, additionally, the condition of genuine nonlinearity is violated throughout phase space. The systems we consider include as special cases those examined by Keyfitz and Kranzer and by Serre. They take the form
where is a scalar-valued function of the n-dimensional vector , and
under the assumption with , where .
Submitted June 12, 1995. Published: June 28, 1995.
Math Subject Classification: 35L45, 35L65, 35L67, 35L80.
Key Words: Finite time breakdown, non-strict hyperbolicity, linear degeneracy.
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