An approach to solving coefficient inverse problems for nonlinear reaction-diffusion-
advection equations is proposed. As an example, we consider an inverse problem of …

In this paper, a new asymptotic-numerical approach to solving an inverse boundary value
problem for a nonlinear singularly perturbed parabolic equation with time-periodic …

This article investigates the synchronization problem for fuzzy coupled neural networks
subject to reaction–diffusion. An available control method, namely, the adaptive pinning …

In previous work, generally, stochastic delayed coupled systems were considered on a
network with a single weight. However, stochastic delayed coupled systems on a network …

In this work, we study the stable determination of four space-dependent coefficients
appearing in a coupled semilinear parabolic system with variable diffusion matrices subject …

The paper considers the question of the possibility of recovering symmetric stable states of a
bistable medium in the inverse problem for a nonlinear singularly perturbed autowave …

We prove the existence of unique weak solutions to an extension of a Cahn–Hilliard model
proposed recently by C Liu and H Wu (2019 Arch. Ration. Mech. Anal. 233 167–247), in …

In this paper, we study unique, globally defined uniformly bounded weak solutions for a
class of semilinear reaction-diffusion-advection systems. The coefficients of the differential …

In this paper, approaches to the numerical recovering of the initial condition in the inverse
problem for a nonlinear singularly perturbed reaction–diffusion–advection equation are …

In this paper, we consider an inverse backward problem for a nonlinear singularly perturbed
parabolic equation of the Burgers' type. We demonstrate how a method of asymptotic …