Publications (6)
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…
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…
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…
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…