5 citations · 5 across the 9 of their papers we have counts for
10 papers
Gas-liquid stratified MHD flows in inclined rectangular ducts
Subham Pal, Ilya Barmak, Arseniy Parfenov +2
This study investigates fully developed stratified gas/liquid magnetohydrodynamic (MHD) flow of an electrically conducting liquid and a nonconducting gas in inclined rectangular du…
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…
Two-phase stratified MHD flows in wide rectangular ducts: analytical and numerical solutions
Ilya Barmak, Subham Pal, Alexander Gelfgat +1
This study explores the effects of a non-conductive gas layer flowing concurrently with a conductive liquid on the two-phase flow characteristics in wide horizontal ducts under a c…
Relaxation to statistical equilibrium in stochastic Michaelis-Menten kinetics
Subham Pal, Manmath Panigrahy, R. Adhikari +1
The equilibration of enzyme and complex concentrations in deterministic Michaelis-Menten reaction networks underlies the hyperbolic dependence between the input (substrates) and ou…
Existence and uniqueness of solutions to the damped Navier-Stokes equations with Navier boundary conditions for three dimensional incompressible fluid
Rajib Haloi, Subha Pal
In this article, we study the solutions of the damped Navier--Stokes equation with Navier boundary condition in a bounded domain in with smooth boundary. The exi…