The aim of this work is to study the exponential stability of the nonlinear Korteweg-de Vries equation in the presence of a delayed internal feedback. We first consider the case where the weight of the feedback with delay is smaller than the weight of the feedback without delay and prove the local exponential stability result by two methods: the fi...

The aim of this work is to study the exponential stability of the nonlinear Korteweg-de Vries equation in the presence of a delayed internal feedback. We first consider the case where the weight of the feedback with delay is smaller than the weight of the feedback without delay and prove the local exponential stability result by two methods: the fi...

The aim of this work is to study the exponential stability of the nonlinear Korteweg-de Vries equation in the presence of a delayed internal feedback. We first consider the case where the weight of the feedback with delay is smaller than the weight of the feedback without delay and prove the local exponential stability result by two methods: the fi...

The mixed solution precursor was prepared by adding the yttria stabilized zirconia (YSZ) nano-particles into the YSZ solution precursor to obtain the ceramic-based abradable sealing nanostructure coatings with the plasma spraying. The stability of the solution precursor must have the fluidity and take precautions to prevent the nano-particles sedim...

The mixed solution precursor was prepared by adding the yttria stabilized zirconia (YSZ) nano-particles into the YSZ solution precursor to obtain the ceramic-based abradable sealing nanostructure coatings with the plasma spraying. The stability of the solution precursor must have the fluidity and take precautions to prevent the nano-particles sedim...

The mixed solution precursor was prepared by adding the yttria stabilized zirconia (YSZ) nano-particles into the YSZ solution precursor to obtain the ceramic-based abradable sealing nanostructure coatings with the plasma spraying. The stability of the solution precursor must have the fluidity and take precautions to prevent the nano-particles sedim...

The mixed solution precursor was prepared by adding the yttria stabilized zirconia (YSZ) nano-particles into the YSZ solution precursor to obtain the ceramic-based abradable sealing nanostructure coatings with the plasma spraying. The stability of the solution precursor must have the fluidity and take precautions to prevent the nano-particles sedim...

In this thesis we study the vectorial damped wave equation on a compact Riemannian manifold with no boundary. The damping term is thus a matrix valued function and the solutions of the equation are vector valued.We first study the problem of stabilization and compute the best exponential decay rate of energy of the solutions of the equation. This r...

In this thesis we study the vectorial damped wave equation on a compact Riemannian manifold with no boundary. The damping term is thus a matrix valued function and the solutions of the equation are vector valued.We first study the problem of stabilization and compute the best exponential decay rate of energy of the solutions of the equation. This r...

In this thesis we study the vectorial damped wave equation on a compact Riemannian manifold with no boundary. The damping term is thus a matrix valued function and the solutions of the equation are vector valued.We first study the problem of stabilization and compute the best exponential decay rate of energy of the solutions of the equation. This r...