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Non-instantaneous single- and multi-impulsive advection-diffusion-reaction equations

Non-instantaneous single- and multi-impulsive advection-diffusion-reaction equations

In the present article, we study singular limits of weak energy solutions to non-instantaneous single-and multi-impulsive advection-diffusion-reaction equation as impulsive source terms collapse to time-dependent the Dirac delta-functions, i.e., to instant impulses. We establish that the limiting functions are the solutions of the instantaneous impulsive advection-diffusion-reaction equations. Besides, in the …