$L^1$ Nonlinear Stability of Travelling Waves for Hyperbolic System with Relaxation
Mascia, Corrado ; Roberto, Natalini
HAL, hal-00881859 / Harvested from HAL
Text on HAL
The Jin-Xin 2×2 semilinear hyperbolic system is considered. Under a natural assumption, the subcharacteristic condition (suitably localised to the context of travelling waves), it is shown that solutions arising from perturbations of travelling wave initial data converge time asymptotically in L^1 to translates of the unperturbed travelling wave solutions.
Publié le : 1996-07-05
Classification:  MSC: 35L60 (35B35),  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00881859,
     author = {Mascia, Corrado and Roberto, Natalini},
     title = {$L^1$ Nonlinear Stability of Travelling Waves for Hyperbolic System with Relaxation},
     journal = {HAL},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00881859}
}

Mascia, Corrado; Roberto, Natalini. $L^1$ Nonlinear Stability of Travelling Waves for Hyperbolic System with Relaxation. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-00881859/