The compactly supported orthogonal wavelet bases developed by Daubechies are used in the Galerkin scheme for a class of one-dimensional ยฎrst-order quasilinear conservation equations with perturbed dissipative terms. We ยฎrst develop a recursive algorithm to obtain the wavelet coecients of a dissipati
On classical solutions of a quasilinear hyperbolic equation
โ Scribed by Gustavo Perla Menzala
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 725 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0362-546X
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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
We consider the asymptotic behavior of the solution of quasilinear hyperbolic equation with linear damping subsequent to [K. Nishihara, J. Differential Equations 131 (1996), 171 188]. In that article, the system with damping v t &u x =0, u t +p(v) x = &:u, p$(v)<0(v>0) was treated, and the converge