Inviscid limit of linearly damped and forced nonlinear Schrodinger equations
Texas State University, Department of Mathematics
We approximate a solution of the nonlinear Schrödinger Cauchy problem by solutions of the linearly damped and driven nonlinear Schrödinger Cauchy problems in any open subset of Rn and, for the case n=1, we provide an estimate of the convergence rate. In doing so, we extract a sufficient relation between the external force and the constant of damping.
Nonlinear Schrödinger equation, Inviscid limit, Linear damping, Forcing term
Gialelis, N. (2020). Inviscid limit of linearly damped and forced nonlinear Schrodinger equations. <i>Electronic Journal of Differential Equations, 2020</i>(66), pp. 1-18.