7 papers
Global existence and optimal decay for a three-dimensional penalized Navier--Stokes system with biharmonic damping
Kabiru Michael Adeyemo, Mohamed Majdoub, Subha Pal
We investigate a three-dimensional parabolic system that arises as a hyperviscous and penalized approximation of the incompressible Navier--Stokes equations. The model combines thr…
Characterisation of Stability and Decay Rates in a Weakly Damped Second Order Linear Differential Equation
John A. D. Appleby, Subham Pal
This paper gives necessary and sufficient conditions for the convergence of the solution of a weakly damped second order linear differential equation that is subjected to outside f…
Characterisation of Convergence, Boundedness and Unboundedness in Solutions of Second Order Linear Differential Equations
John A. D. Appleby, Subham Pal
This paper develops a characterisation of when solutions of forced second order linear differential equations converge to the zero solution of the asymptotically stable and unforce…
Two-phase stratified MHD flows in rectangular ducts
Subham Pal, Ilya Barmak, Arseniy Parfenov +2
The characteristics of two-phase stratified magnetohydrodynamic (MHD) flow in horizontal rectangular ducts are investigated for a system consisting of a conductive liquid and a non…
Principal eigenvalues and asymptotic behavior for the weighted -Laplacian with Robin boundary conditions on exterior domains
Subha Pal, Sarath Sasi
The spectral theory of the p-Laplacian is well developed for classical Dirichlet and Neumann boundary conditions, but the transitional Robin regime on exterior domains remains larg…
Critical perturbation sizes for preserving decay rates in solutions of perturbed nonlinear differential equations
John A. D. Appleby, Subham Pal
This paper develops necessary and sufficient conditions for the preservation of asymptotic convergence rates of deterministically and stochastically perturbed ordinary differential…