𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Exact solutions for a semilinear hyperbolic system with general quadratic interactions

✍ Scribed by V. C. Boffi; V. Protopopescu; Y. Y. Azmy

Book ID
112752999
Publisher
Italian Physical Society
Year
1990
Tongue
English
Weight
526 KB
Volume
12
Category
Article
ISSN
0392-6737

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Stability of travelling wave solutions t
Stability of travelling wave solutions to a semilinear hyperbolic system with relaxation
✍ Yoshihiro Ueda πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 144 KB

## Abstract We study a semilinear hyperbolic system with relaxation and investigate the asymptotic stability of travelling wave solutions with shock profile. It is shown that the travelling wave solution is asymptotically stable, provided the initial disturbance is suitably small. Moreover, we show

Global Cauchy problem for semilinear hyp
Global Cauchy problem for semilinear hyperbolic systems with nonlocal interactions. Applications to Dirac equations
✍ Alain Bachelot πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 378 KB

We investigate the global Cauchy problem for a class of semilinear hyperbolic systems where the interaction can be nonlocal in space and time. We establish global existence theorems for the initial value problem when the nonlinearity is dissipative in a weak sense, and satisfies the causality condit

Generalized Solutions to a Cauchy Proble
Generalized Solutions to a Cauchy Problem for a Nonconservative Hyperbolic System
✍ K.T. Joseph πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 323 KB

In this paper we show the existence of generalized solutions, in the sense of Colombeau, to a Cauchy problem for a nonconservative system of hyperbolic equations, which has applications in elastodynamics.