The authors of this paper study the Bresse system in bounded domain with delay terms.First,we prove the global existence of its solutions in Sobolev spaces by means of semigroup theory.Furthermore,the asymptotic stabi...The authors of this paper study the Bresse system in bounded domain with delay terms.First,we prove the global existence of its solutions in Sobolev spaces by means of semigroup theory.Furthermore,the asymptotic stability is given by using an appropriate Lyapunov functional.展开更多
The aim of this paper is to study the Cauchy problem for the viscoelastic wave equation for structuralδ-evolution models.By using the energy method in the Fourier spaces,we obtain the decay estimates of the solution ...The aim of this paper is to study the Cauchy problem for the viscoelastic wave equation for structuralδ-evolution models.By using the energy method in the Fourier spaces,we obtain the decay estimates of the solution to considered problem.展开更多
This work considers the initial boundary value problem for a viscoelastic wave equation with a nonlinear boundary source term.Under suitable assumptions,we prove the existence of global weak solutions using the Galerk...This work considers the initial boundary value problem for a viscoelastic wave equation with a nonlinear boundary source term.Under suitable assumptions,we prove the existence of global weak solutions using the Galerkin approximation.Then,we give a decay rate estimate of the energy by making use of the perturbed energy method.展开更多
文摘The authors of this paper study the Bresse system in bounded domain with delay terms.First,we prove the global existence of its solutions in Sobolev spaces by means of semigroup theory.Furthermore,the asymptotic stability is given by using an appropriate Lyapunov functional.
文摘The aim of this paper is to study the Cauchy problem for the viscoelastic wave equation for structuralδ-evolution models.By using the energy method in the Fourier spaces,we obtain the decay estimates of the solution to considered problem.
文摘This work considers the initial boundary value problem for a viscoelastic wave equation with a nonlinear boundary source term.Under suitable assumptions,we prove the existence of global weak solutions using the Galerkin approximation.Then,we give a decay rate estimate of the energy by making use of the perturbed energy method.
