Global existence of the regular solution of a quasilinear hyperbolic system
โ Scribed by N.S. Bakhvalov
- Publisher
- Elsevier Science
- Year
- 1970
- Weight
- 761 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0041-5553
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## Abstract This paper is concerned with the asymptotic behaviour of global classical solutions of diagonalizable quasilinear hyperbolic systems with linearly degenerate characteristic fields. Based on the existence results of global classical solutions, we prove that when __t__ tends to infinity,
In this work, the nonexistence of the global solutions to initial boundary value problems with dissipative terms in the boundary conditions is considered for a class of quasilinear hyperbolic equations. The nonexistence proof is achieved by the usage of the so-called concavity method. In this method