3 papers
math.OC2026
Sphere Constraints and Harmonic Map Flow: Controllability and Reachability by Low-Mode Forcing
Debopriya Mukherjee, Kistosil Fahim, Erika Hausenblas
We study the controllability and reachability of sphere-constrained evolution equations under degenerate (low-mode) forcing, with the harmonic map heat flow as the principal applic…
math.AP2026
Averaging principle for a slow-fast stochastic nonlinear fractional Schrödinger equation
Manil T. Mohan, Debopriya Mukherjee, Sandip Roy
We establish an averaging principle for a structural multiscale stochastic nonlinear fractional Schrödinger system on the one-dimensional torus driven by a multiplicative Wiener n…
math.PR2026
Large deviation principle for a stochastic nonlinear damped Schrodinger equation
Sandip Roy, Debopriya Mukherjee, Manil Thankamani Mohan
The present paper focuses on the stochastic nonlinear Schrodinger equation with polynomial nonlinearity, and a zero-order (no derivatives involved) linear damping. Here, the random…