๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Linear symmetric hyperbolic systems with characteristic boundary

โœ 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.

โœฆ Synopsis


Abstract

The author studies the mixed problem for the linear symmetric hyperbolic systems with maximally nonโ€negative 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.


๐Ÿ“œ SIMILAR VOLUMES


Characteristic Symmetric Hyperbolic Syst
โœ Paolo Secchi ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 331 KB ๐Ÿ‘ 1 views

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

Symmetrization of Hyperbolic Systems wit
โœ T. Nishitani ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 728 KB

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

Discretely Nonreflecting Boundary Condit
โœ Clarence W. Rowley; Tim Colonius ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 245 KB

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

Global wellposedness for quasi-linear sy
โœ Davide Ascoli ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 723 KB

## 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 quasiโ€linear symmetric hyperbolic systems with bounded coefficients which are regularized by a convolution in the space variables with a

On a Class of Nonlinear Hyperbolic Syste
โœ Rodica Luca ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 198 KB

We study the existence, uniqueness and some regularity properties of solutions to a nonlinear hyperbolic problem. แฎŠ 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.