 |
Free and accessible knowledge |
Journal articles
Boundary stabilization of quasilinear hyperbolic systems of balance laws: Exponential decay for small source terms
Abstract : We investigate the long-time behavior of solutions of quasilinear hyperbolic systems with transparent boundary conditions when small source terms are
incorporated in the system. Even if the finite-time stability of the system is not preserved, it is shown here that an exponential convergence towards
the steady state still holds with a decay rate which is proportional to the logarithm
of the amplitude of the source term. The result is stated for a system with dynamical boundary conditions in order to deal with initial data that are free of any compatibility condition.
Cited literature [23 references]
https://hal.archives-ouvertes.fr/hal-01593773
Contributor : Lionel Rosier Connect in order to contact the contributor
Submitted on : Tuesday, September 26, 2017 - 4:30:40 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:09 PM
Long-term archiving on: : Wednesday, December 27, 2017 - 1:52:57 PM
Contributor : Lionel Rosier Connect in order to contact the contributor
Submitted on : Tuesday, September 26, 2017 - 4:30:40 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:09 PM
Long-term archiving on: : Wednesday, December 27, 2017 - 1:52:57 PM
File
GPR.pdf
Files produced by the author(s)