A reaction–diffusion system governed by nonsmooth semipermeability problem

Recently, in [Tang GJ, Cen JX, Nguyen VT, et al. Differential variational-hemivariational inequalities: existence, uniqueness, stability, and convergence. J Fixed Point Appl. 2020; DOI: 10.1007/s11784-020-00814-4],we studied a comprehensive system called differential variational-hemivar-iational inequality (DVHVI, for short) which is composed of nonlinear evolution equation time-dependent Banach spaces. We have proved the stability solution mild sense, as well surprising convergence result DVHVI. However, to illustrate applicability those theoretical results Tang al., present paper devoted explore coupled dynamic formulated by reaction–diffusion described nonsmooth semipermeability problem.