6 papers
Inverse problems for a nonlinear dynamical Schrödinger operator with magnetic potential
Mandeep Kumar, Boya Liu, Manmohan Vashisth
We study two inverse problems for a nonlinear dynamical Schrödinger operator with magnetic and electric potentials. Under suitable analyticity assumptions, we show that the Dirich…
Reconstruction of time-dependent coefficients in a semilinear dynamical Schr{ö}dinger equation
Parveen Kumar, Gen Nakamura, Manmohan Vashisth
In the present manuscript, we study an inverse problem related to a semilinear dynamical Schr{ö}dinger equation with lower order terms, in a bounded domain of $\Rb^{1+n},n\geq 2$.…
Inverse problems for a coupled system of wave equations with point source-receiver data
Rahul Bhardwaj, Manmohan Vashisth
The present manuscript consists of inverse problems for a coupled system of wave equations with potential in . By establishing the fundamental solution to the aforeme…
Reconstruction of potential and damping coefficients in a semi-linear wave equation
Rahul Bhardwaj, Mandeep Kumar, Manmohan Vashisth
In this article, we investigate an inverse problem for a semi-linear wave equation posed on bounded domain in , with . Our primary objective is to recon…
Global Existence and Finite-Time Blow-Up for a Coupled Darcy-Forchheimer-Brinkman System with Quadratic Reaction Dynamics
Sahil Kundu, Manmohan Vashisth, Manoranjan Mishra
We study a nonlinear system coupling the Darcy-Forchheimer-Brinkman equations with a convection-diffusion-reaction equation, arising in reactive transport through porous media. The…
Reconstruction for the time-dependent coefficients of a quasilinear dynamical Schr{ö}dinger equation
Gen Nakamura, Tanmay sarkar, Manmohan Vashisth
We study an inverse problem related to the dynamical Schr{ö}dinger equation in a bounded domain of $\Rb^n,n\geq 2$. Since the concerned non-linear Schrödinger equation possesses…