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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 <>
Submitted on : Tuesday, September 26, 2017 - 4:30:40 PM
Last modification on : Friday, February 19, 2021 - 4:10:03 PM
Long-term archiving on: : Wednesday, December 27, 2017 - 1:52:57 PM
Contributor : Lionel Rosier <>
Submitted on : Tuesday, September 26, 2017 - 4:30:40 PM
Last modification on : Friday, February 19, 2021 - 4:10:03 PM
Long-term archiving on: : Wednesday, December 27, 2017 - 1:52:57 PM
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