Add to ORKGInternational audienceWe 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 logarithmof 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
summary:We give sufficient conditions for the existence of global small solutions to the quasilinear...
AbstractThis work is a continuation of our previous work [Z.Q. Shao, Global structure stability of R...
In this paper the long time asymptotic behavior of solutions of semilinear symmetric hyperbolic syst...
International audienceWe investigate the long-time behavior of solutions of quasilinear hyperbolic s...
We study the exponential stability for the C1 norm of general 2 × 2 1-D quasilinear hyperbolic syste...
Abstract — Systems governed by hyperbolic partial differential equations with dynamics associated wi...
International audienceThis paper deals with the problem of boundary stabilization of first-order $n\...
In this work, we consider the problem of boundary stabilization for a quasilinear 2 × 2 system of f...
International audienceSystems governed by hyperbolic partial differential equations with dynamics as...
In this paper, we consider the asymptotic stability of the exact boundary controllability of nodal p...
Abstract—Systems governed by hyperbolic partial differential equations with dynamics associated with...
In this work, we consider the problem of boundary stabilization for a quasilinear $2 imes2$ system o...
In this paper we study the global exponential stability in the $L^{2}$ norm of semilinear 1-d hyperb...
International audienceIn this article we are interested in the boundary stabilization in finite time...
Abstract. In this work, we consider the problem of boundary stabilization for a quasilinear 2 × 2 sy...
summary:We give sufficient conditions for the existence of global small solutions to the quasilinear...
AbstractThis work is a continuation of our previous work [Z.Q. Shao, Global structure stability of R...
In this paper the long time asymptotic behavior of solutions of semilinear symmetric hyperbolic syst...
International audienceWe investigate the long-time behavior of solutions of quasilinear hyperbolic s...
We study the exponential stability for the C1 norm of general 2 × 2 1-D quasilinear hyperbolic syste...
Abstract — Systems governed by hyperbolic partial differential equations with dynamics associated wi...
International audienceThis paper deals with the problem of boundary stabilization of first-order $n\...
In this work, we consider the problem of boundary stabilization for a quasilinear 2 × 2 system of f...
International audienceSystems governed by hyperbolic partial differential equations with dynamics as...
In this paper, we consider the asymptotic stability of the exact boundary controllability of nodal p...
Abstract—Systems governed by hyperbolic partial differential equations with dynamics associated with...
In this work, we consider the problem of boundary stabilization for a quasilinear $2 imes2$ system o...
In this paper we study the global exponential stability in the $L^{2}$ norm of semilinear 1-d hyperb...
International audienceIn this article we are interested in the boundary stabilization in finite time...
Abstract. In this work, we consider the problem of boundary stabilization for a quasilinear 2 × 2 sy...
summary:We give sufficient conditions for the existence of global small solutions to the quasilinear...
AbstractThis work is a continuation of our previous work [Z.Q. Shao, Global structure stability of R...
In this paper the long time asymptotic behavior of solutions of semilinear symmetric hyperbolic syst...