arXiv subjects

Suman Prabha Yadav

Publications and source records attributed to Suman Prabha Yadav.

2 recordsLinked to original sources

arXiv2022

Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity

In this article, we consider a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity. We prove explicit and general decay rate results of the solution to the viscoelastic plate equation with past history. Convex properties, logarithmic inequalities, and generalised Young's inequality are mainly used to prove the decay estimate.

math.AP↗

arXiv2022

Global existence and decay estimates for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity

In this article, we consider a viscoelastic plate equation with a logarithmic nonlinearity in the presence of nonlinear frictional damping term. Using the the Faedo-Galerkin method we establish the global existence of the solution of the problem and we also prove few general decay rate results.

math.AP↗