3 papers
math.AP2022
Existence of global solutions to a semilinear pseudo-parabolic equation
Joydev Halder, Bhargav Kumar Kakumani, Suman Kumar Tumuluri
In this article, we consider a semilinear pseudo parabolic heat equation with the nonlinearity which is the product of logarithmic and polynomial functions. Here we prove the globa…
math.NA2022
A convergent numerical scheme to a parabolic equation with a nonlocal boundary condition
Bhargav Kumar Kakumani, Suman Kumar Tumuluri
In this paper, a numerical scheme for a nonlinear McKendrick-von Foerster equation with diffusion in age (MV-D) with the Dirichlet boundary condition is proposed. The main idea to…
math.AP2022
Global existence and decay estimates for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity
Bhargav Kumar Kakumani, Suman Prabha Yadav
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…