Global attractors and exponential stability of partly dissipative reaction diffusion systems with exponential growth nonlinearity. Issue 4 (12th March 2021) - Lee, Jihoon
Abstract : We study the long-time behavior of the solutions of the partly dissipative reaction diffusion systems of the FitzHugh–Nagumo type with exponential growth nonlinearity. More precisely, we prove the existence of weak solutions, the regularity of the global attractor and the exponential stability of stationary solutions of the systems.