We consider the initial-boundary value problem for quasi-linear symmetric hyperbolic systems with dissipation and characteristic boundary of constant multiplicity. We investigate the global existence and decay property of small regular solutions in suitable functions spaces which take into account t
Linear symmetric hyperbolic systems with characteristic boundary
โ Scribed by Paolo Secchi
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 695 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
The author studies the mixed problem for the linear symmetric hyperbolic systems with maximally nonโnegative and characteristic boundary condition. Existence of a unique solution is proved inside a suitable class of functions of weighted Sobolev type which takes account of the loss of regularity in the normal direction to the characteristic boundary.
๐ SIMILAR VOLUMES
We study symmetrization of hyperbolic first order systems. To be precise, generalizing non-degenerate double characteristics, we define non degenerate characteristics of any order. Then, assuming that the reference characteristic is non degenerate, we prove that the system is smoothly symmetrizable
Many compressible flow and aeroacoustic computations rely on accurate nonreflecting or radiation boundary conditions. When the equations and boundary conditions are discretized using a finite-difference scheme, the dispersive nature of the discretized equations can lead to spurious numerical reflect
## Abstract Following the abstract setting of [8] and using the global results of [2], global wellposedness and regularity results are proved for the solutions of quasiโlinear symmetric hyperbolic systems with bounded coefficients which are regularized by a convolution in the space variables with a
We study the existence, uniqueness and some regularity properties of solutions to a nonlinear hyperbolic problem. แฎ 2001 Academic Press 2 ัจ t 0t -T and the initial data IC i 0, x s i x , ยจ0, x s ยจx , 0-x -1.