3 papers
math.AP2026
Long-time behaviour of a nonlocal stochastic fractional reaction--diffusion equation arising in tumour dynamics
Nikos I. Kavallaris, Subramani Sankar, Manil T. Mohan +2
We introduce a stochastic nonlocal reaction--diffusion model arising in tumour dynamics. Spatial dispersal is described by the fractional Laplacian, accounting for anomalous diffus…
math.PR2024
Blow-up estimates for a system of semilinear SPDEs driven by mixed fractional Brownian motions
S. Sankar, Manil T. Mohan, S. Karthikeyan
In this paper, we obtain the existence and finite-time blow-up for the solution to a system of semilinear stochastic partial differential equations driven by a combination of Brown…
math.PR2024
Blow-up of stochastic semilinear parabolic equations driven by Lévy noise
Manil T. Mohan, S. Pradeep, S. Sankar +1
The blow-up phenomena of stochastic semilinear parabolic equations with additive as well as linear multiplicative Lévy noises are investigated in this work. By suitably modifying…